Difference between revisions of "OpenFOAM/C2/Simulating-flow-in-a-Lid-Driven-Cavity/English-timed"

Latest revision as of 13:00, 9 April 2019

Time	Narration
00:01	Hello and welcome to the spoken tutorial on Simulating Flow in a Lid Driven Cavity using openFoam.
00:07	In this tutorial, I will show you:
00:09	The Lid Driven Cavity file structure
00:12	Meshing the Geometry
00:14	Solving and post-processing results in Paraview
00:17	Plotting & validating results on a spreadsheet.
00:21	To record this tutorial, I am using: Linux Operating system Ubuntu version 10.04
00:27	OpenFOAM version 2.1.0 and ParaView version 3.12.0.
00:32	The tutorials were recorded using the versions specified in previous slide. Subsequently the tutorials were edited to latest versions. To install latest system requirements go to Installation Sheet.
00:37	Lid driven cavity is the most widely used 2D test
00:41	case for validation of a CFD code.
00:44	This is the diagram of Lid Driven Cavity,
00:46	the boundary conditions remain the same.
00:49	A moving wall and three fixedwalls.
00:51	We are solving this for Reynolds no (Re) = 100.
00:56	The moving wall has a velocity of 1 meter per second.
01:01	The path for the Lid Driven Cavity is the same as discussed in the installation tutorial.
01:05	Now, open a command terminal.
01:07	To do this, press Ctrl+Alt+t keys simultaneously on your keyboard.
01:13	In the command terminal
01:17	and type "run" and press Enter.
01:20	cd (space) tutorials and press Enter.
01:25	cd (space) incompressible and press Enter.
01:31	cd (space) icoFoam (Note that F here is capital) and press Enter.
01:38	cd (space) cavity and press Enter.
01:43	Now, type "ls" and press Enter.
01:46	In the file structure of cavity, you will see 3 folders : 0 , constant , and system.
01:51	Now, type cd (space) constant and press Enter.
01:57	Now type "ls" and press Enter.
02:00	The constant folder contains another folder named polyMesh and a file describing the physical properties of fluid.
02:06	Now, type cd (space) polymesh and Press Enter.
02:13	PolyMesh contains a file named 'blockMeshDict'.
02:17	Now type "ls" and press Enter.
02:20	You can see the blockMeshDict
02:22	To open up the blockMeshDict file, type gedit space blockMeshDict. (Note that M and D here are capital).Now press Enter.
02:35	This will Open up the blockMeshDict file.
02:37	Let me drag this to the capture area.
02:41	This contains: coordinates for the lid driven cavity,
02:46	blocking and meshing parameters
02:49	and boundary patches.
02:52	Since there are no arcs as well as no patches to be merged, edges and mergePatchPairs can be kept empty.
03:01	Now close this.
03:03	In the command terminal, type : cd (space) .. (dot) (dot) and press Enter.
03:09	Do this twice. You will come back to the cavity folder.
03:14	Now, type cd (space) system and press Enter.
03:20	Now type "ls", press Enter. This contains three files-
03:27	controlDict, fvSchemes and fvSolutions.
03:31	controlDict contains control parameters for start/end time.
03:35	fvSolution contains discritization schemes used in run time.
03:40	And, fvSchemes contains equation for solvers, tolerance etc.
03:45	Now, again type cd (space) (dot dot) .. and press Enter.
03:51	Now type cd ( space ) 0 (zero) and Press Enter.
03:58	Now type "ls" and press Enter.
04:02	This contains the initial values for boundary conditions like Pressure, Velocity, Temperature etc.
04:08	Now type cd ( space ) (dot dot) . . to return back to the cavity folder.
04:14	Now we need to mesh the geometry.
04:16	We are using a coarse mesh here.
04:19	Mesh the geometry by typing blockMesh in the terminal.
04:23	Now type blockMesh (Note that M here is capital) and press Enter.
04:30	The Meshing is done.
04:32	If there are some errors in the blockMesh file, it will be shown in the terminal.
04:36	To view the geometry,type paraFoam. Note that 'F' here is capital and press Enter.
04:45	This will open the paraview window.
04:49	Now on the left hand side of the object inspector menu, click on Apply.
04:54	You can see the lid driven cavity geometry. Now close this.
05:03	Check the mesh by typing "checkMesh" in the terminal.
05:09	Note that 'M' here is capital and press Enter.
05:13	you can see the number of cells, skewness and other parameters which are associated with the mesh.
05:20	Let me switch back to the slides.
05:22	The solver we are using here is icoFoam:
05:25	icoFoam is a Transient solver for incompressible flow of newtonian fluids.
05:31	Let me switch back to the terminal.
05:34	In the terminal, type "icoFoam".
05:38	Note that 'F' here is capital and press Enter.
05:42	The Iterations running will be seen in the terminal window.
05:45	After the solving is done, type paraFoam in the terminal to view the geometry and the results.
05:59	On the left hand side of object inspector menu
06:02	click on Apply.Now Scroll down the properties on object inspector menu.
06:07	you can see mesh parts, Volume Fields etc.
06:12	Check or uncheck these boxes in the mesh part, to view the different boundary regions of Lid driven cavity.
06:20	Now, after this, on top of the left-hand side on active variable control drop-down menu, change this from solid color to p or capital U which are the initial conditions such as pressure, velocity.
06:36	I will select capital 'U'. Now this will show you the initial condition of velocity.
06:42	On top of the paraview window, you will see the VCR control.
06:49	Click on the play button.
06:52	Now this is the final result of velocity for the lid driven cavity.
06:57	Toggle on the color legend by clicking on the top left of the active variable control menu.
07:08	This is the color legend for U velocity.
07:12	We need to validate the results obtained.
07:14	To do this, let us plot the U and V velocity.
07:17	To do this, go to Filters scroll down > Data Analysis > Plot Over line.
07:26	Click on it.
07:30	You can see X , Y and Z axes.
07:33	Select the X & Y axis turn by turn.
07:39	I will select the X axis and click Apply.
07:45	You can see Pressure and velocity plots being plotted.
07:50	Since it is a non dimensional analysis, we need to plot the graph for u/U v/s y/L for Reynolds number =100
08:00	To do this, in Plot Data click on the Y-axis
08:06	and click APPLY.
08:09	You can see the plot.
08:11	Now in menu bar, go to File > Save Data.
08:15	Give appropriate name to your file.
08:19	I will give this as "cavity".
08:23	The file will be saved as ".csv" (dot csv) file.
08:27	Now click OK. Again click OK.
08:31	Now go to the cavity folder of openfoam directory.
08:37	Scroll down. you can see the cavity.csv file.
08:42	Open it in Open office or LibreOffice Spreadsheet.
08:47	In the LibreOffice spreadsheet, copy the U0 (u velocity) and to the right points 1(Y-axis) columns in another spreadsheet.
08:56	Now, divide both these columns, that is, u zero by capital U and points 1 by capital L
09:07	and plot the results in libreoffice charts option on top, in the menu bar.
09:16	Now let me switch back to the slides.
09:18	Results obtained will be similar to this figure.
09:24	Validate the results on a paper published on Lid Driven Cavity by : Ghia et al. (1982) and Results obtained from Fluent.
09:34	In this tutorial, we learnt:
09:36	File structure of Lid Driven cavity
09:38	Solved lid driven cavity.
09:40	Post-processing of solutions
09:42	And Validation.
09:44	As an assignment, Change some parameters in the lid driven cavity.
09:48	Velocity Magnitude in the 0 folder.
09:51	Kinematic viscosity in transport Properties in constant folder.
09:55	And, plot results of u/U and y/L.
10:00	Watch the video available at this URL: http://spoken-tutorial.org/What_is_a_Spoken_Tutorial
10:04	It summarizes the Spoken Tutorial project.
10:07	If you do not have good bandwidth, you can download and watch it.
10:10	The Spoken Tutorial project team:
10:12	Conducts workshops using spoken tutorials
10:15	Gives certificates to those who pass an online test.
10:19	For more details, please write to us at:contact@spoken-tutorial.org
10:40	Spoken Tutorials are part of Talk to a Teacher project.
10:43	It is supported by the National Mission on Education through ICT, MHRD, Government of India.
10:48	More information on the same is available at the following URL: http://spoken-tutorial.org/NMEICT-Intro
10:52	This is Rahul Joshi from IIT Bombay, signing off.
10:55	Thanks for joining.

Contributors and Content Editors

DeepaVedartham, Gaurav, Nancyvarkey, PoojaMoolya, Sandhya.np14, Sneha

Difference between revisions of "OpenFOAM/C2/Simulating-flow-in-a-Lid-Driven-Cavity/English-timed"

Latest revision as of 13:00, 9 April 2019

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@@ Line 13: / Line 13: @@
 |-
 |  00:09
-|*   The''' Lid Driven Cavity''' file structure
+|  The''' Lid Driven Cavity''' file structure
 |-
 |  00:12
-|*   '''Meshing '''the Geometry
+| '''Meshing '''the Geometry
 |-
 |  00:14
-|*   Solving and post-processing results in '''Paraview'''
+|Solving and post-processing results in '''Paraview'''
 |-
 |  00:17
-|*   Plotting & validating results on a spreadsheet.
+| Plotting & validating results on a spreadsheet.
 |-
 |  00:21
-|  To record this tutorial,
+|  To record this tutorial, I am using: '''Linux Operating system Ubuntu''' version 10.04
-|-
-|  00:22
-|   I am using: '''Linux Operating system Ubuntu''' version 10.04
 |-
@@ Line 41: / Line 37: @@
 |-
 |  00:32
+|   The tutorials were recorded using the versions specified in previous slide. Subsequently the tutorials were edited to latest versions. To install latest system requirements go to Installation Sheet.
+|-
+|  00:37
 |   '''Lid driven cavity''' is the most widely used 2D test
 |-
-|  00:36
+|  00:41
 |   case for validation of a '''CFD code'''.
 |-
-|  00:39
+|  00:44
 | This is the diagram of '''Lid Driven Cavity''',
 |-
-| 00:41
+| 00:46
 | the '''boundary conditions''' remain the same.
 |-
-| 00:44
+| 00:49
 | A '''moving wall''' and '''three fixedwalls'''.
 |-
-|  00:46
+|  00:51
 |  We are solving this for '''Reynolds no (Re) = 100'''.
 |-
-| 00:50
+| 00:56
 | The '''moving wall''' has a velocity of 1 meter per second.
 |-
-|  00:54
+| 01:01
-|   The '''path''' for the '''Lid Driven Cavity''' is the same as discussed in the installation tutorial.
+| The '''path''' for the '''Lid Driven Cavity''' is the same as discussed in the installation tutorial.
 |-
-|01:00
+|01:05
 |  Now, open a '''command terminal'''.
 |-
-|  01:02
+| 01:07
-|  To do this, press '''Ctrl+Alt+t ''' keys simultaneously on your keyboard.
+| To do this, press '''Ctrl+Alt+t ''' keys simultaneously on your keyboard.
 |-
-|  01:08
+|  01:13
-|  In the command terminal, type the '''path''' for the '''lid driven cavity'''
+|  In the command terminal
 |-
-| 01:12
+| 01:17
 |and type "run" and press '''Enter'''.
 |-
-|01:15
+|01:20
 |  '''cd (space) tutorials''' and press '''Enter'''.
 |-
-| 01:20
+| 01:25
 | '''cd '''(space)''' incompressible''' and press '''Enter'''.
 |-
-| 01:26
+| 01:31
 |'''cd '''(space)''' icoFoam '''(Note that F here is capital) and press '''Enter'''.
 |-
-| 01:33
+| 01:38
 |  '''cd '''(space) '''cavity''' and press '''Enter'''.
 |-
-| 01:38
+| 01:43
 |Now, type "ls" and press '''Enter'''.
 |-
-| 01:41
+| 01:46
 |In the file structure of '''cavity''', you will see 3 folders : '''0 , constant , and system'''.
 |-
-|01:46
+|01:51
 |  Now, type '''cd''' (space) '''constant''' and press '''Enter'''.
 |-
-| 01:52
+| 01:57
 | Now type "ls" and press '''Enter'''.
 |-
-|01:55
+|02:00
 |  The '''constant''' folder contains another folder named '''polyMesh''' and a file describing the physical properties of fluid.
 |-
-| 02:01
+| 02:06
 | Now, type '''cd (space) polymesh''' and Press '''Enter'''.
 |-
-| 02:08
+| 02:13
 | '''PolyMesh''' contains a file named 'blockMeshDict'.
 |-
-| 02:12
+| 02:17
 |  Now type "ls" and press '''Enter'''.
 |-
-| 02:15
+| 02:20
 |  You can see the '''blockMeshDict'''
 |-
-|  02:17
+|  02:22
 | To open up the  '''blockMeshDict''' file,  type '''gedit space blockMeshDict'''.
+(Note that M and D  here are capital).Now press '''Enter'''.
-(Note that M and D  here are capital)
-Now press '''Enter'''.
 |-
-| 02:30
+| 02:35
 |  This will Open up the '''blockMeshDict''' file.
 |-
-| 02:32
+| 02:37
 | Let me drag this to the capture area.
 |-
-|  02:36
+|  02:41
 |  This contains: coordinates for the '''lid driven cavity''',
 |-
-|  02:41
+|  02:46
 |'''blocking''' and '''meshing parameters'''
 |-
-|  02:44
+|  02:49
 |and '''boundary patches.'''
 |-
-|  02:47
+|  02:52
 | Since there are  no '''arcs''' as well as no '''patches''' to be merged, '''edges''' and '''mergePatchPairs''' can be kept empty.
 |-
-| 02:56
+| 03:01
 | Now close this.
 |-
-|  02:58
+|  03:03
 |  In the command terminal, type : '''cd (space) .. (dot) (dot)'''  and press '''Enter.'''
 |-
-| 03:04
+| 03:09
 | Do  this twice. You will come back to the''' cavity''' folder.
 |-
-| 03:09
+| 03:14
 |  Now, type '''cd''' (space) '''system''' and press '''Enter'''.
 |-
-|03:15
+|03:20
 |  Now type "ls", press '''Enter'''.  This contains three files-
 |-
-|  03:22
+|  03:27
 |'''controlDict, fvSchemes''' and '''fvSolutions'''.
 |-
-|  03:26
+|  03:31
 | '''controlDict''' contains '''control parameters''' for start/end time.
 |-
-|  03:30
+|  03:35
 |'''fvSolution''' contains '''discritization schemes''' used in '''run time'''.
 |-
-|  03:35
+|  03:40
 |And, '''fvSchemes''' contains equation for '''solvers''', '''tolerance''' etc.
 |-
-| 03:40
+| 03:45
 | Now, again type '''cd (space) (dot dot) .. '''and press '''Enter'''.
 |-
-| 03:46
+| 03:51
 |  Now type '''cd ( space )''' 0 (zero) and Press '''Enter'''.
 |-
-|03:53
+|03:58
 | Now type "ls" and press '''Enter'''.
 |-
-| 03:57
+| 04:02
 |  This contains the initial values for '''boundary conditions''' like '''Pressure, Velocity, Temperature''' etc.
 |-
-|  04:03
+|  04:08
 | Now type''' cd ( space ) (dot dot) . .''' to return back to the '''cavity''' folder.
 |-
-| 04:09
+| 04:14
 |  Now we need to '''mesh '''the geometry.
 |-
-|  04:11
+|  04:16
 |We are using a coarse mesh here.
 |-
-|  04:14
+|  04:19
 |  '''Mesh''' the geometry by typing '''blockMesh''' in the '''terminal'''.
 |-
-|04:18
+|04:23
 | Now type '''blockMesh '''(Note that M  here is capital) and press '''Enter'''.
 |-
-| 04:25
+| 04:30
 |  The '''Meshing''' is done.
 |-
-| 04:27
+| 04:32
 | If there are some '''errors''' in the '''blockMesh''' file, it will be shown in the '''terminal'''.
 |-
-|  04:31
+|  04:36
-|  To view the geometry,
+|  To view the geometry,type '''paraFoam'''. Note that 'F' here is capital and press '''Enter'''.
-|-
-|  04:32
-|type '''paraFoam'''. Note that 'F' here is capital and press '''Enter'''.
 |-
-|  04:40
+|  04:45
 |  This will open the '''paraview window'''.
 |-
-|  04:44
+|  04:49
 |  Now on the left hand side of the '''object inspector''' menu, click on '''Apply.'''
 |-
-| 04:49
+| 04:54
 | You can see the '''lid driven cavity''' geometry. Now close this.
 |-
-|04:58
+|05:03
 |  Check the mesh by typing "checkMesh" in the terminal.
 |-
-|  05:04
+|  05:09
 |Note that 'M' here is capital and press '''Enter'''.
 |-
-|05:08
+|05:13
 | you can see  the number of cells, '''skewness''' and other parameters which are associated with the '''mesh'''.
 |-
-|05:15
+|05:20
 |  Let me switch back to the '''slides'''.
 |-
-|  05:17
+|  05:22
 |  The solver we are using here is '''icoFoam''':
 |-
-|  05:20
+|  05:25
 |   '''icoFoam''' is a '''Transient solver''' for '''incompressible flow''' of '''newtonian fluids'''.
 |-
-|  05:26
+|  05:31
 |  Let me switch back to the terminal.
 |-
-|  05:29
+|  05:34
 |   In the terminal, type "icoFoam".
 |-
-|  05:33
+|  05:38
 |Note that 'F' here is capital and press '''Enter'''.
 |-
-|  05:37
+|  05:42
 | The  '''Iterations '''running will be seen in the terminal window.
 |-
-| 05:40
+| 05:45
 | After the solving is done, type '''paraFoam''' in the terminal to view the geometry and the results.
 |-
-| 05:54
+| 05:59
 |  On the left hand side of '''object inspector''' menu
 |-
-|  05:57
+|  06:02
-|click on '''Apply'''.
+|click on '''Apply'''.Now '''Scroll''' down the properties on '''object inspector''' menu.
 |-
-|  05:58
+|  06:07
-|  Now '''Scroll''' down the properties on '''object inspector''' menu.
-|-
-|  06:02
 |you can see '''mesh parts, Volume Fields''' etc.
 |-
-| 06:07
+| 06:12
 |   Check or uncheck these '''boxes''' in the '''mesh''' part, to view the different boundary regions of '''Lid driven cavity'''.
 |-
-|   06:15
+|  06:20
-|  Now, after this, on top of the left-hand side on  '''active variable control ''' drop-down menu, change this from '''solid color''' to '''p''' or capital '''U''' which are the '''initial conditions''' such as '''pressure, velocity'''.
+| Now, after this, on top of the left-hand side on  '''active variable control ''' drop-down menu, change this from '''solid color''' to '''p''' or capital '''U''' which are the '''initial conditions''' such as '''pressure, velocity'''.
 |-
-|  06:31
+|  06:36
 |I will select capital 'U'. Now this will show you the initial condition of velocity.
 |-
-|  06:37
+|  06:42
 |  On top of the''' paraview''' window, you will see the''' VCR control'''.
 |-
-|  06:44
+|  06:49
 |Click on the '''play''' button.
 |-
-|  06:47
+|  06:52
 |  Now this is the final result of '''velocity''' for the '''lid driven cavity'''.
 |-
-| 06:52
+| 06:57
 | Toggle on the '''color legend''' by clicking on  the top left of the '''active variable control''' menu.
 |-
-|  07:03
+|  07:08
 | This is the''' color legend''' for '''U velocity'''.
 |-
-| 07:07
+| 07:12
 | We need to validate the results obtained.
 |-
-|  07:09
+|  07:14
 |To do this, let us plot the '''U''' and '''V velocity'''.
 |-
-|  07:12
+|  07:17
 | To do this, go to '''Filters''' scroll down > '''Data Analysis''' > '''Plot Over line'''.
 |-
-|  07:21
+|  07:26
 | Click on it.
 |-
-| 07:23
+| 07:30
 |  You can see  X , Y and Z axes.
 |-
-| 07:25
+| 07:33
 |   Select the '''X & Y axis''' turn by turn.
 |-
-|  07:31
+|  07:39
 |I will select the '''X axis''' and click '''Apply'''.
 |-
-| 07:37
+| 07:45
 |  You can see '''Pressure''' and '''velocity''' '''plots''' being plotted.
 |-
-| 07:42
+| 07:50
 |  Since it is a non dimensional analysis, we need to plot the graph for '''u/U v/s y/L''' for '''Reynolds number =100'''
 |-
-| 07:52
+| 08:00
 |  To do this, in '''Plot Data''' click on the '''Y-axis'''
 |-
-|  07:58
+|  08:06
 |and click '''APPLY'''.
 |-
-| 08:01
+| 08:09
 |  You can see the''' plot'''.
 |-
-|  08:03
+|  08:11
 |Now in menu bar, go to '''File > Save Data'''.
 |-
-| 08:09
+| 08:15
 | Give   appropriate name to your file.
 |-
-|  08:11
+|  08:19
 |  I will give this as "cavity".
 |-
-|  08:15
+|  08:23
 |The file will be saved as ".csv" (dot csv) file.
 |-
-|  08:19
+|  08:27
 | Now click OK. Again click OK.
 |-
-| 08:23
+| 08:31
 |  Now go to the '''cavity''' folder of '''openfoam directory'''.
 |-
-|  08:29
+|  08:37
 |Scroll down. you can see the '''cavity.csv''' file.
 |-
-| 08:34
+| 08:42
 | Open it in '''Open office''' or '''LibreOffice Spreadsheet'''.
 |-
-|   08:39
+|   08:47
-| In the LibreOffice spreadsheet, copy the U0 (u velocity) and to the right points 1(Y-axis) columns
+| In the LibreOffice spreadsheet, copy the U0 (u velocity) and to the right points 1(Y-axis) columns in another spreadsheet.
-in another spreadsheet.
 |-
-|  08:48
+|  08:56
 |  Now, divide both these columns, that is, '''u zero''' by capital U and '''points 1''' by capital L
 |-
-|  08:59
+|  09:07
 | and plot the results in '''libreoffice''' charts option on top, in the menu bar.
 |-
-|  09:08
+|  09:16
 | Now let me switch back to the slides.
 |-
-|  09:10
+|  09:18
 | Results obtained will be similar to this figure.
 |-
-| 09:16
+| 09:24
-| '''Validate''' the results on a  paper published on '''Lid Driven Cavity by : Ghia et al. (1982''') and
+| '''Validate''' the results on a  paper published on '''Lid Driven Cavity by : Ghia et al. (1982''') and Results obtained from Fluent.
-Results obtained from Fluent.
 |-
-|09:24
+|09:34
 |  In this tutorial, we learnt:
 |-
-|  09:26
+|  09:36
-|* File structure of '''Lid Driven cavity'''
+| File structure of '''Lid Driven cavity'''
 |-
-|  09:28
+|  09:38
-|* '''Solved lid driven cavity'''.
+| '''Solved lid driven cavity'''.
 |-
-|  09:30
+|  09:40
-|* '''Post-processing of solutions'''
+|'''Post-processing of solutions'''
 |-
-|   09:32
+|   09:42
 |And '''Validation'''.
 |-
-| 09:34
+| 09:44
-|   As an assignment,
+|  As an assignment, Change some parameters in the '''lid driven cavity'''.
 |-
-|  09:35
+|  09:48
-|Change some parameters in the '''lid driven cavity'''.
+|'''Velocity Magnitude''' in the '''0 folder'''.
 |-
-|  09:38
+|  09:51
-|* '''Velocity Magnitude''' in the '''0 folder'''.
+| '''Kinematic viscosity'''  in '''transport Properties''' in '''constant''' folder.
-|-
-|  09:41
-|* '''Kinematic viscosity'''  in '''transport Properties''' in '''constant''' folder.
 |-
-|  09:45
+|  09:55
 |And, plot results of '''u/U and y/L'''.
 |-
-| 09:50
+| 10:00
-| Watch the  video available at this URL:
+| Watch the  video available at this URL: http://spoken-tutorial.org/What_is_a_Spoken_Tutorial
-http://spoken-tutorial.org/What_is_a_Spoken_Tutorial
 |-
-|  09:54
+|  10:04
 |It summarizes the '''Spoken Tutorial''' project.
 |-
-|  09:57
+|  10:07
 |If you do not have good bandwidth, you can download and watch it.
 |-
-|  10:00
+|  10:10
 |   The Spoken Tutorial project team:
 |-
-|  10:02
+|  10:12
-|* Conducts workshops using spoken tutorials
+|Conducts workshops using spoken tutorials
 |-
-|  10:05
+|  10:15
-|* Gives certificates to those who pass an online test.
+|Gives certificates to those who pass an online test.
 |-
-|  10:09
+|  10:19
-|For more details, please write to us at:
+|For more details, please write to us at:contact@spoken-tutorial.org
-contact@spoken-tutorial.org
 |-
-| 10:15
+| 10:40
 | '''Spoken Tutorials''' are part of '''Talk to a Teacher''' project.
 |-
-|  10:18
+|  10:43
 |It is supported by the National Mission on Education through ICT, MHRD, Government of India.
 |-
-|  10:23
+|  10:48
 |More information on the same is available at the following URL:  http://spoken-tutorial.org/NMEICT-Intro
 |-
-| 10:27
+| 10:52
 |  This is Rahul Joshi from IIT Bombay, signing off.
 |-
-|  10:30
+|  10:55
 |Thanks for joining.
 |}