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		<updated>2026-04-08T09:34:27Z</updated>
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	<entry>
		<id>https://script.spoken-tutorial.org/index.php?title=Process-Simulation-using-DWSIM/C2/Plug-Flow-Reactor/English&amp;diff=57446&amp;oldid=prev</id>
		<title>Madhurig: Created page with &quot;'''Title: Plug Flow Reactor'''  '''Author: Priyam Nayak'''  '''Keywords: '''DWSIM''', '''Material stream, simulation, compounds, thermodynamic package, unit systems, plug flow...&quot;</title>
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				<updated>2026-02-13T13:09:30Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Title: Plug Flow Reactor&amp;#039;&amp;#039;&amp;#039;  &amp;#039;&amp;#039;&amp;#039;Author: Priyam Nayak&amp;#039;&amp;#039;&amp;#039;  &amp;#039;&amp;#039;&amp;#039;Keywords: &amp;#039;&amp;#039;&amp;#039;DWSIM&amp;#039;&amp;#039;&amp;#039;, &amp;#039;&amp;#039;&amp;#039;Material stream, simulation, compounds, thermodynamic package, unit systems, plug flow...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Title: Plug Flow Reactor'''&lt;br /&gt;
&lt;br /&gt;
'''Author: Priyam Nayak'''&lt;br /&gt;
&lt;br /&gt;
'''Keywords: '''DWSIM''', '''Material stream, simulation, compounds, thermodynamic package, unit systems, plug flow reactor, kinetic reaction, stoichiometry, reaction order&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| border=1&lt;br /&gt;
 &lt;br /&gt;
|| Visual Cue&lt;br /&gt;
|| Narration&lt;br /&gt;
|- &lt;br /&gt;
|| '''Slide Number 1'''&lt;br /&gt;
&lt;br /&gt;
'''Title Slide'''&lt;br /&gt;
|| Welcome to this spoken tutorial on Simulating a '''Plug Flow Reactor(PFR)''' in '''DWSIM'''.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Slide Number 2'''&lt;br /&gt;
&lt;br /&gt;
'''Learning Objective'''&lt;br /&gt;
|| In this tutorial, we will learn to:&lt;br /&gt;
* Simulate a '''Plug Flow Reactor (PFR)'''&lt;br /&gt;
* Calculate '''Conversion''' and '''Residence time''' for a reaction in a '''PFR'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|- &lt;br /&gt;
|| '''Slide Number 3'''&lt;br /&gt;
&lt;br /&gt;
'''System Requirements'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To record this tutorial, I am using&lt;br /&gt;
* '''DWSIM 9.0.4 '''and&lt;br /&gt;
* '''Windows 11'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The process demonstrated in this tutorial is identical in other OS also, such as-&lt;br /&gt;
* Linux,&lt;br /&gt;
* Mac OS X or&lt;br /&gt;
* FOSSEE OS on ARM.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|| This tutorial, recorded using the following setup.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The process demonstrated in this tutorial is identical in other OS as well.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
|| '''Slide Number 4'''&lt;br /&gt;
&lt;br /&gt;
'''Pre-requisites'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To practice this tutorial, you should know to&lt;br /&gt;
* Add components to a '''flowsheet.'''&lt;br /&gt;
&lt;br /&gt;
* Select '''thermodynamic''' packages&lt;br /&gt;
* Specify the properties of a '''material stream'''&lt;br /&gt;
* Define a '''Kinetic Reaction'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|| To practice this tutorial, you should know the following.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|- &lt;br /&gt;
|| '''Slide Number 5'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Problem Statement'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|| We will develop a '''flowsheet '''to determine the '''exit composition''' from an Adiabatic '''PFR.'''&lt;br /&gt;
&lt;br /&gt;
Here we give '''reaction, property package''' and '''inlet stream conditions'''.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Slide Number 6'''&lt;br /&gt;
&lt;br /&gt;
'''Reaction Kinetics'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|| Next, we give the reaction kinetics.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
|| '''Slide Number 7'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Code Files'''&lt;br /&gt;
|| '''kinetic-reaction''' file used in the tutorial is provided as a''' Code file''' on this tutorial page.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Download this file from''' Code Files''' link.1.14&lt;br /&gt;
|-&lt;br /&gt;
|| Switch to '''DWSIM'''.&lt;br /&gt;
|| I have already opened '''DWSIM''' on my machine.&lt;br /&gt;
|-&lt;br /&gt;
|| Show '''DWSIM''' window&lt;br /&gt;
&lt;br /&gt;
''' File &amp;gt;&amp;gt; Save As &amp;gt;&amp;gt; PFR'''&lt;br /&gt;
|| I have opened the file '''kinetic-reaction.dwxml'''.&lt;br /&gt;
&lt;br /&gt;
Let me save it as '''PFR'''.&lt;br /&gt;
&lt;br /&gt;
We can see that the file name has changed now to '''PFR'''.&lt;br /&gt;
|- &lt;br /&gt;
|| &lt;br /&gt;
|| Let us verify if the rate kinetics exist in the opened '''DWSIM''' file.&lt;br /&gt;
|-&lt;br /&gt;
|| Highlight '''Settings''' in toolbar area&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click '''Settings'''&lt;br /&gt;
|| Click on the '''Settings''' button in the toolbar.&lt;br /&gt;
&lt;br /&gt;
'''Settings''' window opens.&lt;br /&gt;
|-&lt;br /&gt;
|| Click on '''Reactions''' tab&lt;br /&gt;
|| Go to the '''Reactions''' tab.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Chemical Reactions''' &amp;gt;&amp;gt; Click '''Butane Isomerization'''&lt;br /&gt;
|| Click on the reaction named “'''Butane Isomerization'''” under the''' Chemical Reactions''' section.&lt;br /&gt;
|- &lt;br /&gt;
|| Close the '''Add Kinetic Reaction''' window&lt;br /&gt;
&lt;br /&gt;
Close the '''Settings''' window&lt;br /&gt;
|| We can see that the reaction is added with the given kinetic parameters.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Close the '''Add Kinetic Reaction''' window&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Close the '''Settings''' window&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''Object Palette'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''Reactors''' section.&lt;br /&gt;
&lt;br /&gt;
Scroll below to find the '''Plug Flow Reactor(PFR).'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click and drag '''Plug Flow Reactor(PFR)''' to the flowsheet&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''Double Arrow''' next to '''Object Palette'''&lt;br /&gt;
|| Now let us add a '''PFR'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Go to the '''Reactors''' section in the '''Object Palette''' located at the right side of the flowsheet window.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Scroll below to find '''Plug Flow Reactor(PFR).'''&lt;br /&gt;
&lt;br /&gt;
Drag and drop to the flowsheet.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimize the '''Object Palette''' by clicking on this '''Double Arrow'''.&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''PFR''' added to the flowsheet&lt;br /&gt;
|| This is the Plug Flow Reactor.&lt;br /&gt;
&lt;br /&gt;
It has 2 material streams and 1 energy stream auto-connected to its connection ports.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Material Stream named '''1''' enters the PFR as feed.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Material Stream named '''2''' leaves the PFR as a product.&lt;br /&gt;
|- &lt;br /&gt;
|| Click &amp;gt;&amp;gt; 1 &amp;gt;&amp;gt; 1 (Material Stream) Property Editor Window&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type '''Feed &amp;gt;&amp;gt; Enter'''&lt;br /&gt;
|| Now click on the Material Stream named '''1'''.&lt;br /&gt;
&lt;br /&gt;
1 (Material Stream) property editor window opens.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Let’s change its name to '''Feed.'''&lt;br /&gt;
&lt;br /&gt;
Press '''Enter'''.&lt;br /&gt;
|- &lt;br /&gt;
|| &lt;br /&gt;
|| Now we will specify the '''Feed stream '''properties.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Input Data&amp;gt;&amp;gt; Flash Spec&amp;gt;&amp;gt; Temperature''' '''and Pressure(TP)'''&lt;br /&gt;
|| Under '''Input Data''', in '''Stream Conditions''' section, select '''Flash Spec''' as '''Temperature and Pressure (TP).'''&lt;br /&gt;
&lt;br /&gt;
'''Temperature and Pressure '''is selected as '''Flash Spec '''by default.&lt;br /&gt;
&lt;br /&gt;
So let’s not change it.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Input Data &amp;gt;&amp;gt; Temperature &amp;gt;&amp;gt; 57 C'''&lt;br /&gt;
&lt;br /&gt;
'''Press Enter'''&lt;br /&gt;
|| Change '''Temperature''' to '''57 degree C''' and press '''Enter'''.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Input Data &amp;gt;&amp;gt; Pressure &amp;gt;&amp;gt; 20 bar'''&lt;br /&gt;
&lt;br /&gt;
'''Press Enter'''&lt;br /&gt;
|| Change '''Pressure''' to '''20''' '''bar''' and press '''Enter'''.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Input Data &amp;gt;&amp;gt; Molar Flow &amp;gt;&amp;gt; 163 kmol/h'''&lt;br /&gt;
&lt;br /&gt;
'''Press Enter'''&lt;br /&gt;
|| Change '''Molar Flow''' to '''163 kmol/h''' and press '''Enter'''.&lt;br /&gt;
&lt;br /&gt;
|- &lt;br /&gt;
|| &lt;br /&gt;
|| Now let us specify the '''feed stream compositions'''.&lt;br /&gt;
|-&lt;br /&gt;
|| '''Composition &amp;gt;&amp;gt; Basis &amp;gt;&amp;gt; Mole Fractions'''&lt;br /&gt;
|| Under '''Compound Amounts''', choose the '''Basis''' as '''Mole Fractions''', if not selected.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Mole Fractions''' is selected as '''Basis '''by default.&lt;br /&gt;
|-&lt;br /&gt;
|| '''N-butane: 0.9'''&lt;br /&gt;
&lt;br /&gt;
'''Isobutane: 0'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Isopentane: 0.1'''&lt;br /&gt;
|| Now for '''N-butane''',''' '''enter the '''Amount''' as '''0.9 '''and press '''Enter.'''&lt;br /&gt;
&lt;br /&gt;
Similarly, for '''Isobutane, '''enter it as '''0 '''and press '''Enter.'''&lt;br /&gt;
&lt;br /&gt;
For '''Isopentane, '''enter''' 0.1 '''and press '''Enter'''.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Click &amp;gt;&amp;gt; Accept'''&lt;br /&gt;
|| Click on '''Accept''' to accept the changes&lt;br /&gt;
|- &lt;br /&gt;
|| '''Point to 2 (Material Stream)'''&lt;br /&gt;
|| Click on '''Material Stream''' named '''2'''&lt;br /&gt;
|- &lt;br /&gt;
|| Click &amp;gt;&amp;gt; 2 &amp;gt;&amp;gt; 2 (Material Stream) Property Editor Window&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Type '''Product &amp;gt;&amp;gt; Enter'''&lt;br /&gt;
|| Let’s change its name to '''Product.'''&lt;br /&gt;
&lt;br /&gt;
Press '''Enter'''.&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''PFR-1'''&lt;br /&gt;
|| Now we will add PFR parameters.&lt;br /&gt;
&lt;br /&gt;
Click on '''PFR-1.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''PFR-1 '''property editor window opens.&lt;br /&gt;
|- &lt;br /&gt;
|| Hover mouse at '''Calculation Parameters'''&lt;br /&gt;
|| Now go to the next section, '''Calculation Parameters.'''&lt;br /&gt;
|- &lt;br /&gt;
|| '''Reaction Set''' &amp;gt;&amp;gt; '''Default Set'''&lt;br /&gt;
|| Here, the first option is '''Reaction Set.'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
By default, it is '''Default Set'''.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since we have only one '''reaction''', we leave it as it is.&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''Calculation Mode'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Calculation Mode &amp;gt;&amp;gt; Adiabatic'''&lt;br /&gt;
|| Next, click on the drop-down against''' Calculation Mode.'''&lt;br /&gt;
&lt;br /&gt;
Select '''Adiabatic.'''&lt;br /&gt;
|- &lt;br /&gt;
|| Click on '''Dimensions''' tab&lt;br /&gt;
|| Click on the '''Dimensions''' tab beside the''' General''' tab.&lt;br /&gt;
&lt;br /&gt;
Here we will provide the dimensions of the '''PFR'''.&lt;br /&gt;
|- &lt;br /&gt;
|| '''Reactive Volume''' &amp;gt;&amp;gt;''' 2.6 m3'''&lt;br /&gt;
&lt;br /&gt;
Press '''Enter'''&lt;br /&gt;
|| Click on the field against '''Reactor Volume''' and enter 2.6''' m&amp;lt;sup&amp;gt;3.'''&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Then press '''Enter.'''&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''Sizing Information'''&lt;br /&gt;
|| In '''Sizing information''', you can either select length or diameter of the PFR.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
As the length of PFR is provided to us, we will select the radio button against '''Length.'''&lt;br /&gt;
|- &lt;br /&gt;
|| '''Tube Length''' &amp;gt;&amp;gt; '''3 m'''&lt;br /&gt;
&lt;br /&gt;
Press '''Enter'''&lt;br /&gt;
|| Click on the field against '''Tube Length''' and enter 3 m.&amp;lt;sup&amp;gt;'''.'''&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Then press '''Enter.'''&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''Tube Diameter'''&lt;br /&gt;
|| We can see that based on the length entered, the diameter is calculated.&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''Number of Tubes'''&lt;br /&gt;
|| In case the '''PFR '''is multitubular, we can enter the number of tubes here.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since no such information is provided, we will leave it with the default value.&lt;br /&gt;
|- &lt;br /&gt;
|| Click''' Solve'''&lt;br /&gt;
|| This completes the problem specification.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Click on '''Solve''' button in the toolbar area.&lt;br /&gt;
|- &lt;br /&gt;
|| Point to '''Messages''' at the bottom&lt;br /&gt;
|| Once the calculations are complete, we will receive a message “The flowsheet calculated successfully”.&lt;br /&gt;
|-&lt;br /&gt;
|| Hover mouse at '''Results'''&lt;br /&gt;
|| From the '''Property Editor Window''' of '''PFR''' locate '''Results''' section.&lt;br /&gt;
|-&lt;br /&gt;
|| '''Results''' &amp;gt;&amp;gt;''' General'''&lt;br /&gt;
|| Under the '''General''' tab, check '''Residence time.'''&lt;br /&gt;
&lt;br /&gt;
It is '''0.144974 h.'''&lt;br /&gt;
|-&lt;br /&gt;
|| '''Results '''&amp;gt;&amp;gt;''' Conversions'''&lt;br /&gt;
|| Under the '''Conversions''' tab, check conversion for the reacting compound.&lt;br /&gt;
&lt;br /&gt;
Conversion of '''N-butane''' is 69.2%&lt;br /&gt;
|-&lt;br /&gt;
|| '''Insert '''&amp;gt;&amp;gt; '''Master Property Table'''&lt;br /&gt;
|| Now we will check the material balances.&lt;br /&gt;
&lt;br /&gt;
Go to '''Insert''' menu and select the '''Master Property Table'''.&lt;br /&gt;
|-&lt;br /&gt;
|| Double click on '''Master Property Table'''&lt;br /&gt;
&lt;br /&gt;
Point to '''Configure Master Property Table'''&lt;br /&gt;
|| Double click on the '''Master Property Table '''to edit it.&lt;br /&gt;
&lt;br /&gt;
'''Configure Master Property Table''' window opens.&lt;br /&gt;
|-&lt;br /&gt;
|| Type '''Results - Plug Flow Reactor'''&lt;br /&gt;
|| Enter''' Name''' as '''Results - Plug Flow Reactor'''&lt;br /&gt;
|-&lt;br /&gt;
|| '''Type Material Stream'''&lt;br /&gt;
|| Enter '''Object Type''' as '''Material Stream'''.&lt;br /&gt;
&lt;br /&gt;
By default, '''Material Stream''' is already selected.&lt;br /&gt;
&lt;br /&gt;
So we will not change it.&lt;br /&gt;
|-&lt;br /&gt;
|| '''Object &amp;gt;&amp;gt; Feed and Product'''&lt;br /&gt;
|| Under '''Properties to display''', select '''Object '''as '''Feed''' and '''Product.'''&lt;br /&gt;
|- &lt;br /&gt;
|| '''Configure Master Property Table&amp;gt;&amp;gt; Property'''&lt;br /&gt;
|| Under '''Property''', scroll down to see all the parameters.&lt;br /&gt;
&lt;br /&gt;
Now select the properties as:&lt;br /&gt;
&lt;br /&gt;
'''Temperature'''&lt;br /&gt;
&lt;br /&gt;
'''Pressure'''&lt;br /&gt;
&lt;br /&gt;
'''Mass Flow'''&lt;br /&gt;
&lt;br /&gt;
'''Molar Flow'''&lt;br /&gt;
&lt;br /&gt;
'''Molar Flow (Mixture) / N-butane'''&lt;br /&gt;
&lt;br /&gt;
'''Mass Flow (Mixture) / N-butane'''&lt;br /&gt;
&lt;br /&gt;
'''Molar Flow (Mixture) / Isobutane'''&lt;br /&gt;
&lt;br /&gt;
'''Mass Flow (Mixture) / Isobutane'''&lt;br /&gt;
&lt;br /&gt;
'''Molar Flow (Mixture) / Isopentane'''&lt;br /&gt;
&lt;br /&gt;
'''Mass Flow (Mixture) / Isopentane'''&lt;br /&gt;
|- &lt;br /&gt;
|| &lt;br /&gt;
|| Close this window.&lt;br /&gt;
&lt;br /&gt;
Move the '''Master Property Table '''for better visibility.&lt;br /&gt;
&lt;br /&gt;
Here we can see the corresponding results for '''Product''' and''' Feed.'''&lt;br /&gt;
|- &lt;br /&gt;
|| '''Slide Number 8'''&lt;br /&gt;
&lt;br /&gt;
'''Summary'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In this tutorial, we have learnt to&lt;br /&gt;
* Simulate a '''Plug-Flow Reactor (PFR)'''&lt;br /&gt;
* Calculate '''Conversion''' and '''Residence time''' for a '''reaction''' in a '''PFR'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|| Let us summarize.&lt;br /&gt;
|- &lt;br /&gt;
 &lt;br /&gt;
|| '''Slide Number 9'''&lt;br /&gt;
&lt;br /&gt;
'''Assignment'''&lt;br /&gt;
&lt;br /&gt;
|| As an assignment,&lt;br /&gt;
&lt;br /&gt;
Repeat this simulation with different '''compounds''' and '''thermodynamics'''.&lt;br /&gt;
&lt;br /&gt;
Different '''feed conditions'''&lt;br /&gt;
&lt;br /&gt;
Different '''PFR dimensions''' and '''reaction kinetics'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
|| '''Slide Number 10'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''DWSIM Flowsheeting Project'''&lt;br /&gt;
|| We invite you to participate in '''DWSIM Flowsheeting Project'''.&lt;br /&gt;
|-&lt;br /&gt;
|| '''Slide Number 11'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Lab Migration Project'''&lt;br /&gt;
|| We invite you to migrate commercial '''simulator labs''' to '''DWSIM.'''&lt;br /&gt;
|-&lt;br /&gt;
|| '''Slide Number 12'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Acknowledgements'''&lt;br /&gt;
|| The '''FOSSEE''' project is funded by '''NMEICT, Ministry of Education(MoE)''', Government of India.&lt;br /&gt;
|-&lt;br /&gt;
|| '''Slide Number 13'''&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''Thanks'''&lt;br /&gt;
|| We thank the '''DWSIM''' team for making it as an''' open source software.'''&lt;br /&gt;
&lt;br /&gt;
Thank you for joining.&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Madhurig</name></author>	</entry>

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