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		<title>OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English - Revision history</title>
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		<updated>2026-05-13T16:28:49Z</updated>
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		<title>Nancyvarkey at 07:39, 17 September 2020</title>
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				<updated>2020-09-17T07:39:03Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 07:39, 17 September 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 53:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 53:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The '''kinematic viscosity''' is '''1e to the power of minus 5 metres per second.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The '''kinematic viscosity''' is '''1e to the power of minus 5 metres per second.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The '''Inlet velocity '''is '''20 metres per second. '''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The '''Inlet velocity '''is '''20 metres per second. '''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Outlet pressure '''is set to '''zero atmosphere.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Outlet pressure '''is set to '''zero atmosphere.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 59:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 61:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| '''Reynolds number''' is '''2 million'''.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| '''Reynolds number''' is '''2 million'''.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The flow is '''turbulent.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;flow&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''' &lt;/ins&gt;is '''turbulent.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Only Narration&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Only Narration&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 80:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 83:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Type: '''cp -r ~/Downloads/kepsilon .'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Type: '''cp -r ~/Downloads/kepsilon .'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Copy the downloaded file into the '''&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Run &lt;/del&gt;directory'''.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Copy the downloaded file into the '''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;RUN &lt;/ins&gt;directory'''.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To do that, type the following '''command.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To do that, type the following '''command.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 121:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 124:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Expansion ratio calculation&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Expansion ratio calculation&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| It is calculated using geometric progression formula. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| It is calculated using &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;geometric progression formula&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Please refer to the '''Additional Reading Material''' for more details.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Please refer to the '''Additional Reading Material''' for more details.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 184:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 187:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type: '''cd ..'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type: '''cd ..'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Let us go back to the '''&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Run &lt;/del&gt;directory''' using the '''cd command'''.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Let us go back to the '''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;RUN &lt;/ins&gt;directory''' using the '''cd command'''.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Only Narration &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Only Narration &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 224:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 227:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''cp -r ~/Downloads/komega .'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''cp -r ~/Downloads/komega .'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Copy the downloaded file into '''&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Run &lt;/del&gt;directory.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Copy the downloaded file into '''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;RUN &lt;/ins&gt;directory.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To do that, type the following '''command''' in the '''terminal.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To do that, type the following '''command''' in the '''terminal.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 295:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 298:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type: '''cd ..'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type: '''cd ..'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Let us go back to the '''&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Run &lt;/del&gt;directory''' using the '''cd command.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Let us go back to the '''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;RUN &lt;/ins&gt;directory''' using the '''cd command.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Only Narration &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Only Narration &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 313:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 316:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal] Type:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''cp -r ~/Downloads/komegasst .'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''cp -r ~/Downloads/komegasst .'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Copy the downloaded file into the '''&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Run &lt;/del&gt;directory.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Copy the downloaded file into the '''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;RUN &lt;/ins&gt;directory.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To do that, type the following '''command '''in the '''terminal.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To do that, type the following '''command '''in the '''terminal.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 390:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 393:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: About the Spoken Tutorial Project&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: About the Spoken Tutorial Project&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| The video at the following link summarises the Spoken Tutorial project.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| The video at the following link summarises the Spoken Tutorial project.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Please download and watch it.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Please download and watch it.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Spoken Tutorial Workshops&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Spoken Tutorial Workshops&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| We conduct workshops using Spoken Tutorials and give certificates.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| We conduct workshops using Spoken Tutorials and give certificates.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Please contact us.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Please contact us.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Spoken Tutorial Forum&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Spoken Tutorial Forum&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Please post your timed queries in this forum.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;* &lt;/del&gt;Please post your timed queries in this forum.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: FOSSEE Forum&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: FOSSEE Forum&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 413:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 417:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Spoken Tutorial &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Spoken Tutorial &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| The Spoken Tutorial project is supported by MHRD, Govt. of India.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| The Spoken Tutorial project is supported by MHRD, Govt. of India.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The script for this tutorial is contributed by Padmini.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The script for this tutorial is contributed by Padmini.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;And this is Swetha Sridhar from IIT Bombay signing off.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;And this is Swetha Sridhar from IIT Bombay signing off.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Thanks for joining.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Thanks for joining.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Nancyvarkey</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53517&amp;oldid=prev</id>
		<title>Divyesh7 at 13:07, 7 August 2020</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53517&amp;oldid=prev"/>
				<updated>2020-08-07T13:07:44Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 13:07, 7 August 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 180:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 180:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| [Terminal]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Highlight''' Patch to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;213&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;433&lt;/del&gt;'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Highlight''' Patch to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;214&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;786&lt;/ins&gt;'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| We can see that the '''YPlus''' value stays below 300. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| We can see that the '''YPlus''' value stays below 300. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Divyesh7</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53153&amp;oldid=prev</id>
		<title>Nancyvarkey at 05:12, 26 July 2020</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53153&amp;oldid=prev"/>
				<updated>2020-07-26T05:12:41Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;amp;diff=53153&amp;amp;oldid=53152&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Nancyvarkey</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53152&amp;oldid=prev</id>
		<title>Divyesh7 at 12:42, 25 July 2020</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53152&amp;oldid=prev"/>
				<updated>2020-07-25T12:42:14Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 12:42, 25 July 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 54:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 54:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Flow Properties&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Flow Properties&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| '''Reynolds&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;' &lt;/del&gt;number''' is '''2 million'''.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| '''Reynolds number''' is '''2 million'''.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The flow is '''turbulent.'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The flow is '''turbulent.'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|- &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Divyesh7</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53151&amp;oldid=prev</id>
		<title>Divyesh7 at 12:40, 25 July 2020</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53151&amp;oldid=prev"/>
				<updated>2020-07-25T12:40:21Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;col class='diff-content' /&gt;
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				&lt;tr style='vertical-align: top;'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 12:40, 25 July 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 193:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 193:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Here''', '''the value of''' turbulent length scale''' is '''0.07 m'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Here''', '''the value of''' turbulent length scale''' is '''0.07 m'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The '''specific''' '''turbulent dissipation rate '''value is '''16.67 1/s'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The '''specific''' '''turbulent dissipation rate '''value is '''16.67 1/s'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Where''' empirical constant, cmu '''is equal to '''0.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;009&lt;/del&gt;'''&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Where''' empirical constant, cmu '''is equal to '''0.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;09&lt;/ins&gt;'''&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|-&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Wall &amp;amp; Outlet Boundary Condition - omega&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|| Slide: Wall &amp;amp; Outlet Boundary Condition - omega&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Divyesh7</name></author>	</entry>

	<entry>
		<id>https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53150&amp;oldid=prev</id>
		<title>Divyesh7: Created page with &quot;'''Title of the script:''' Turbulence Modelling in OpenFOAM  '''Author:''' Padmini Priyadarshini  '''Keywords:''' OpenFOAM, Turbulence, YPlus, K-Omega, K-OmegaSST, Paraview, V...&quot;</title>
		<link rel="alternate" type="text/html" href="https://script.spoken-tutorial.org/index.php?title=OpenFOAM-version-7/C2/Turbulence-Modelling-in-OpenFOAM/English&amp;diff=53150&amp;oldid=prev"/>
				<updated>2020-07-25T07:35:16Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Title of the script:&amp;#039;&amp;#039;&amp;#039; Turbulence Modelling in OpenFOAM  &amp;#039;&amp;#039;&amp;#039;Author:&amp;#039;&amp;#039;&amp;#039; Padmini Priyadarshini  &amp;#039;&amp;#039;&amp;#039;Keywords:&amp;#039;&amp;#039;&amp;#039; OpenFOAM, Turbulence, YPlus, K-Omega, K-OmegaSST, Paraview, V...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Title of the script:''' Turbulence Modelling in OpenFOAM&lt;br /&gt;
&lt;br /&gt;
'''Author:''' Padmini Priyadarshini&lt;br /&gt;
&lt;br /&gt;
'''Keywords:''' OpenFOAM, Turbulence, YPlus, K-Omega, K-OmegaSST, Paraview, Video-Tutorial&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| border=&amp;quot;1&amp;quot;&lt;br /&gt;
|- &lt;br /&gt;
|| '''Visual Cue'''&lt;br /&gt;
|| '''Narration'''&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Opening Slide&lt;br /&gt;
|| Welcome to this tutorial on '''Turbulence Modelling in OpenFOAM.'''&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Learning Objective&lt;br /&gt;
|| In this tutorial, we will learn how to,&lt;br /&gt;
* Set up the '''blockMeshDict''' dictionary for a given '''YPlus''' value&lt;br /&gt;
* Implement '''k-omega''' and '''k-omega SST''' '''turbulence models'''&lt;br /&gt;
* '''Run '''the '''simulation'''&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: System Specifications&lt;br /&gt;
|| To record this tutorial, I am using,&lt;br /&gt;
* '''Linux Mint OS''' version 18.3&lt;br /&gt;
* '''OpenFOAM''' version 7&lt;br /&gt;
* '''ParaView''' version 5.6.0&lt;br /&gt;
* '''gedit Text Editor'''&lt;br /&gt;
However, you may use any other '''text editor''' of your choice.&lt;br /&gt;
The steps explained in this tutorial are identical in '''Ubuntu Linux OS'''.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Prerequisites&lt;br /&gt;
|| As a prerequisite:&lt;br /&gt;
* You should have basic knowledge of '''geometric progression'''&lt;br /&gt;
* You should be familiar with '''simulating''' a''' turbulent flow''' through a''' channel '''and&lt;br /&gt;
* You should also be familiar with '''Multi-block Meshing of 2D Geometry'''&lt;br /&gt;
* If not, please go through the prerequisite '''OpenFOAM''' tutorial on this website&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Code Files&lt;br /&gt;
|| &lt;br /&gt;
* The files used in this tutorial are available in the '''Code''' '''Files''' link on this tutorial page &lt;br /&gt;
* Please download and extract them&lt;br /&gt;
* Make a copy and then use them while practising&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Solver detail&lt;br /&gt;
|| We will use the '''simpleFoam solver''' to '''simulate '''this problem.&lt;br /&gt;
'''simpleFoam''' is a '''steady-state solver''' for '''incompressible''', '''turbulent flow'''.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Problem statement&lt;br /&gt;
|| The diagram shows a''' 2D channel '''of length '''65 m '''and width '''1 m'''.&lt;br /&gt;
The '''kinematic viscosity''' is '''1e-05 m&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;/s.'''&lt;br /&gt;
The '''Inlet velocity '''is '''20 m/s. '''&lt;br /&gt;
'''Outlet pressure '''is set to '''0 atmosphere.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Flow Properties&lt;br /&gt;
|| '''Reynolds' number''' is '''2 million'''.&lt;br /&gt;
The flow is '''turbulent.'''&lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| First, We will use''' k-epsilon turbulence model '''to '''simulate''' this '''case'''.&lt;br /&gt;
Let us set up the '''case.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| Download the '''kepsilon''' folder provided in the '''code files''' link and extract it.&lt;br /&gt;
|-&lt;br /&gt;
|| CTRL + ALT + T&lt;br /&gt;
|| Open the '''terminal''' by pressing '''Ctrl''', '''Alt''' &amp;amp; '''T''' keys.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| Here onwards, please remember to press the '''Enter''' key after typing each '''command''' in the '''terminal'''.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''cd $FOAM_RUN '''&lt;br /&gt;
|| Open the '''Run directory '''by typing this '''command.''' &lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] &lt;br /&gt;
Type: '''cp -r ~/Downloads/kepsilon .'''&lt;br /&gt;
|| Copy the downloaded file into the '''Run directory'''.&lt;br /&gt;
To do that, type the following '''command.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| I have downloaded the file into the '''Downloads directory.'''&lt;br /&gt;
Please change the '''command''' according to the '''file path''' on your machine.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''cd kepsilon'''&lt;br /&gt;
|| Navigate to the '''kepsilon directory.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''gedit system/blockMeshDict'''&lt;br /&gt;
|| Open the '''blockMeshDict '''file in a '''text editor.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -blockMeshDict]&lt;br /&gt;
Highlight '''blocks'''&lt;br /&gt;
|| Scroll down to the '''keyword “blocks”.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''blockMeshDict''']&lt;br /&gt;
Highlight '''hex .... (1 0.18 1);'''&lt;br /&gt;
|| The '''domain''' has two equal-sized '''blocks.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''blockMeshDict''']&lt;br /&gt;
Highlight '''75''' '''30'''&lt;br /&gt;
|| For each '''block''', the '''cell number''' is set to '''75 '''in the '''x-direction''', and '''30''' in the '''y-direction.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Wall distance, yp&lt;br /&gt;
|| Let “'''yp'''” be the distance between the '''wall''' and the nearest '''cell centre'''.&lt;br /&gt;
For our '''case, yp''' is '''0.0031''' for '''YPlus''' value of '''200'''.&lt;br /&gt;
For''' channel flow''', the '''skin friction coefficient, Cf,''' is given by this formula.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Cell width&lt;br /&gt;
|| The width of the''' cell '''near the '''wall''' is '''0.0062.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Expansion ratio&lt;br /&gt;
|| The '''expansion ratio''' is the ratio of the last '''cell width''' to the first '''cell width.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Expansion ratio calculation&lt;br /&gt;
|| It is calculated using '''geometric progression''' formula. &lt;br /&gt;
Please refer to the '''Additional Reading Material''' for more details.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Expansion ratio value&lt;br /&gt;
|| The '''expansion ratio''' in the '''+y direction''' is found to be &lt;br /&gt;
* '''5.57 '''for '''block 1,''' and &lt;br /&gt;
* '''0.18 '''for''' block 2'''&lt;br /&gt;
for a '''block''' of width of '''0.5 m''' and '''cell number 30.'''&lt;br /&gt;
Please refer to the '''Additional Reading Material''' on this tutorial page for details.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| I have already put these values into the '''blockMeshDict''' file.&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -blockMeshDict]&lt;br /&gt;
Highlight''' simpleGrading'''&lt;br /&gt;
|| '''simpleGrading''' describes the uniform '''expansion ratio '''in '''x, y''', and''' z-directions.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| For our '''case''', the''' expansion ratio''' in the '''y-direction''' is&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''blockMeshDict''']&lt;br /&gt;
Highlight '''5.57'''&lt;br /&gt;
|| '''5.57 '''for '''block 1'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''blockMeshDict''']&lt;br /&gt;
&lt;br /&gt;
Highlight''' 0.18'''&lt;br /&gt;
|| '''0.18''' for '''block 2'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit - '''blockMeshDict'''] Close Text Editor&lt;br /&gt;
|| Close the '''blockMeshDict''' file.&lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| The '''case''' is now ready to be''' run. '''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''blockMesh'''&lt;br /&gt;
|| On the '''terminal''', type '''blockMesh''' to '''mesh''' the '''geometry'''.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''simpleFoam'''&lt;br /&gt;
|| Then type '''simpleFoam''' in the '''terminal '''to '''run '''the '''simulation'''.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| The '''simulation '''will take some '''time''' depending on your computer’s '''hardware'''.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Highlight''' End'''&lt;br /&gt;
|| The''' simulation''' is complete.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| Let's check the final value of '''YPlus.'''&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''simpleFoam -postProcess -func &amp;quot;yPlus&amp;quot; -latestTime'''&lt;br /&gt;
|| Now type the following '''command''' on the '''terminal''' to get the '''YPlus '''value on the '''walls.'''&lt;br /&gt;
|- &lt;br /&gt;
|| [Terminal]&lt;br /&gt;
Highlight''' Patch to 213.433'''&lt;br /&gt;
|| We can see that the '''YPlus''' value stays below 300. &lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''cd ..'''&lt;br /&gt;
|| Let us go back to the '''Run directory''' using the '''cd command'''.&lt;br /&gt;
|- &lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| Let us '''simulate''' the same problem using the k-omega''' turbulence model '''now'''.'''&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: K-Omega turbulence model&lt;br /&gt;
|| '''k-omega '''is a '''two-equation model'''.&lt;br /&gt;
It solves-&lt;br /&gt;
* The '''turbulent kinetic energy''' '''transport equation''', and&lt;br /&gt;
* The '''specific''' '''turbulent dissipation rate transport equation'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Inlet Boundary Condition - omega&lt;br /&gt;
|| Let's look at the '''boundary''' and '''initial conditions''' for '''omega.'''&lt;br /&gt;
We will use '''turbulentMixingLengthFrequencyInlet'''&lt;br /&gt;
It calculates '''omega''' using '''kappa '''and &lt;br /&gt;
user-specified '''mixing length. '''&lt;br /&gt;
'''Mixing length '''refers to the''' turbulent length scale.'''&lt;br /&gt;
'''Kappa''' value is automatically put in by the '''solver.'''&lt;br /&gt;
Here''', '''the value of''' turbulent length scale''' is '''0.07 m'''&lt;br /&gt;
The '''specific''' '''turbulent dissipation rate '''value is '''16.67 1/s'''&lt;br /&gt;
Where''' empirical constant, cmu '''is equal to '''0.009'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Wall &amp;amp; Outlet Boundary Condition - omega&lt;br /&gt;
|| '''Wall boundary condition''' is set to '''omegaWallFunction.'''&lt;br /&gt;
'''zeroGradient boundary condition''' is imposed at the '''outlet. '''&lt;br /&gt;
Please refer to the '''Additional Reading Material''' on this tutorial page for details.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| Download the '''komega '''folder provided in the '''Code files''' link and extract it.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''cp -r ~/Downloads/komega .'''&lt;br /&gt;
|| Copy the downloaded file into '''Run directory.'''&lt;br /&gt;
To do that, type the following '''command '''in the '''terminal.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''cd komega'''&lt;br /&gt;
|| Navigate to the '''komega''' directory using the '''cd command.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| Let’s take a look at the '''specific''' '''turbulent dissipation rate '''file.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''gedit 0/omega'''&lt;br /&gt;
|| Open the '''omega''' file in a '''text editor.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''omega'''] &lt;br /&gt;
Highlight '''internalField ... 16.67;'''&lt;br /&gt;
|| The '''internalField''' value is initialised as '''16.67'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''omega''']&lt;br /&gt;
Highlight''' type turbulentMixingLengthFrequencyInlet'''&lt;br /&gt;
|| The '''inlet '''boundary '''type''' is set to '''turbulentMixingLengthFrequencyInlet'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''omega'''] &lt;br /&gt;
Highlight''' mixingLength 0.07;'''&lt;br /&gt;
|| The '''keyword''' '''mixingLength '''represents the '''Turbulent length scale''', and is set to '''0.07'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''omega'''] &lt;br /&gt;
Highlight''' value $internalField;'''&lt;br /&gt;
|| We have passed the '''internalField''' value to the '''patch field '''value.&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''omega'''] Highlight '''zeroGradient'''&lt;br /&gt;
|| The '''outlet patch type''' is set to '''zeroGradient.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''omega'''] &lt;br /&gt;
Highlight '''omegaWallFunction'''&lt;br /&gt;
|| The '''wall patch type''' is set to '''omegaWallFunction.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''omega'''] Close Text Editor&lt;br /&gt;
|| Close the '''omega''' file.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''gedit constant/turbulenceProperties'''&lt;br /&gt;
|| Open the '''turbulenceProperties''' file in a '''text editor.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''turbulenceProperties'''] &lt;br /&gt;
Highlight''' kOmega'''&lt;br /&gt;
|| '''kOmega '''is selected as the '''RASModel.'''&lt;br /&gt;
Note,''' O '''is capitalized here.&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''turbulenceProperties'''] &lt;br /&gt;
Highlight''' on'''&lt;br /&gt;
|| Ensure the '''keyword''' '''turbulence''' is set to '''On'''.&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''turbulenceProperties''']&lt;br /&gt;
Close Text Editor&lt;br /&gt;
|| Close the '''turbulenceProperties '''file.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| The '''case''' is now ready to be '''run.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''blockMesh'''&lt;br /&gt;
|| On the '''terminal''', type '''blockMesh '''to '''mesh '''the '''geometry.''' &lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''simpleFoam'''&lt;br /&gt;
|| Now, type the following '''command''' to '''run''' the '''case.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Highlight''' End'''&lt;br /&gt;
|| The''' simulation''' is over.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''cd ..'''&lt;br /&gt;
|| Let us go back to the '''Run directory''' using the '''cd command.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| Now, let’s '''run''' the same '''case''' with the '''k-omegaSST''' '''turbulence model.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: K-omegaSST turbulence model&lt;br /&gt;
|| The''' K-omega SST turbulence model''' is a '''hybrid '''model.&lt;br /&gt;
In the '''near-wall '''region, '''K-omegaSST''' uses the '''K-omega turbulence model.'''&lt;br /&gt;
&lt;br /&gt;
In the region away from the '''wall''', it switches to the '''K-epsilon''' '''turbulence model'''.&lt;br /&gt;
&lt;br /&gt;
Please refer to the '''Additional Reading Material''' on this tutorial page for details.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| Download the '''komegasst '''folder provided in the '''Code files''' link and extract it.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''cp -r ~/Downloads/komegasst .'''&lt;br /&gt;
|| Copy the downloaded file into the '''Run directory.'''&lt;br /&gt;
To do that, type the following '''command '''in the '''terminal.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''cd komegasst'''&lt;br /&gt;
|| Navigate to the '''komegasst '''directory using the '''cd command.''' &lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| '''komega''' and '''komegasst models''' use the same''' turbulence variables'''.&lt;br /&gt;
Hence, the files in the '''0''' directory are the same.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''gedit constant/turbulenceProperties'''&lt;br /&gt;
|| Open the '''turbulence''' properties file in a '''text editor.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''turbulenceProperties''']&lt;br /&gt;
Highlight '''kOmegaSST'''&lt;br /&gt;
|| '''RASModel field''' entry is set to '''kOmegaSST.'''&lt;br /&gt;
Note,''' O''' and''' SST''' are capitalized here.&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''turbulenceProperties''']&lt;br /&gt;
Close Text Editor&lt;br /&gt;
|| Close the '''turbulenceProperties''' file.&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type:&lt;br /&gt;
'''gedit system/fvSchemes'''&lt;br /&gt;
|| Open '''fvSchemes dictionary''' in a '''text editor.'''&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| Scroll down to the end of the document.&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''fvSchemes''']&lt;br /&gt;
Highlight '''wallDist ... ;}'''&lt;br /&gt;
|| '''wallDist sub-dictionary''' is included in the '''fvSchemes dictionary'''.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| This enables the calculation of the '''distance '''between the '''cell centre''' and the nearest '''wall.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [gedit -'''fvSchemes'''] Close Text Editor&lt;br /&gt;
|| Close the '''fvSchemes''' file.&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration &lt;br /&gt;
|| The setup is now ready. &lt;br /&gt;
Let us '''run''' the '''simulation.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''blockMesh'''&lt;br /&gt;
|| '''Mesh''' the '''geometry''' using the '''blockMesh command '''on the '''terminal.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Type: '''simpleFoam'''&lt;br /&gt;
|| Type '''simpleFoam''' in the '''terminal.'''&lt;br /&gt;
|-&lt;br /&gt;
|| [Terminal] Highlight''' End'''&lt;br /&gt;
|| The '''simulation''' is finished successfully.&lt;br /&gt;
|-&lt;br /&gt;
|| Show slide&lt;br /&gt;
Exit velocity profile - comparison&lt;br /&gt;
|| The slide shows the''' exit velocity''' '''profile''' for all three '''turbulence models'''&lt;br /&gt;
|-&lt;br /&gt;
|| Only Narration&lt;br /&gt;
|| With this, we have come to the end of the tutorial.&lt;br /&gt;
Let’s summarize.&lt;br /&gt;
|- &lt;br /&gt;
|| Slide: Summary&lt;br /&gt;
|| In this tutorial, we have learnt to,&lt;br /&gt;
* Set up the '''blockMeshDict''' file for a given '''YPlus''' value&lt;br /&gt;
* Implement '''k-omega '''and''' k-omega SST turbulence models'''&lt;br /&gt;
* '''Run''' the '''simulation'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Assignment&lt;br /&gt;
|| As an assignment:&lt;br /&gt;
* Repeat the '''simulation''' for a '''YPlus''' value of '''250 '''using '''k-epsilon''' '''model'''&lt;br /&gt;
* Repeat the''' simulation '''for a '''velocity''' of '''40 m/s''' using '''k-omega''' and '''k-omega SST model'''&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: About the Spoken Tutorial Project&lt;br /&gt;
|| The video at the following link summarises the Spoken Tutorial project.&lt;br /&gt;
Please download and watch it.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Spoken Tutorial Workshops&lt;br /&gt;
|| We conduct workshops using Spoken Tutorials and give certificates.&lt;br /&gt;
Please contact us.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Spoken Tutorial Forum&lt;br /&gt;
|| &lt;br /&gt;
* Please post your timed queries in this forum.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: FOSSEE Forum&lt;br /&gt;
|| &lt;br /&gt;
* Do you have any general/technical questions?&lt;br /&gt;
* Please visit the forum given in the link.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: FOSSEE Case Study Project&lt;br /&gt;
|| &lt;br /&gt;
* The FOSSEE team coordinates solving feasible CFD problems of reasonable complexity using OpenFOAM.&lt;br /&gt;
* We give honorarium and certificates to those who do this.&lt;br /&gt;
* For more details, please visit these sites.&lt;br /&gt;
|-&lt;br /&gt;
|| Slide: Spoken Tutorial &lt;br /&gt;
|| The Spoken Tutorial project is supported by MHRD, Govt. of India.&lt;br /&gt;
The script for this tutorial is contributed by Padmini.&lt;br /&gt;
And this is Swetha Sridhar from IIT Bombay signing off.&lt;br /&gt;
Thanks for joining.&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Divyesh7</name></author>	</entry>

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