Difference between revisions of "OpenFOAM/C3/Flow-over-a-flat-plate/English-timed"
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| In this tutorial, I will teach you about: | | In this tutorial, I will teach you about: | ||
− | + | Geometry of the flat plate | |
− | + | Changing the grid spacing in '''meshing''' | |
− | + | Postprocessing results in '''ParaView''' and | |
− | + | Visualizing using '''Vector Plot'''. | |
|- | |- | ||
| 00:19 | | 00:19 | ||
| To record this tutorial, I am using: | | To record this tutorial, I am using: | ||
+ | '''Linux Operating system Ubuntu''' version 12.04. | ||
+ | '''OpenFOAM''' version 2.1.1 and | ||
+ | '''ParaView''' version 3.12.0 | ||
− | + | |- | |
− | + | | 00:30 | |
− | + | | 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: | + | | 00:35 |
|'''Flow over flat plate''' is a fundamental problem in '''fluid mechanics'''. | |'''Flow over flat plate''' is a fundamental problem in '''fluid mechanics'''. | ||
|- | |- | ||
− | | 00: | + | | 00:40 |
| We can visualize the growth of the '''boundary layer'''. '''Boundary layer''' is a very thin region above the body | | We can visualize the growth of the '''boundary layer'''. '''Boundary layer''' is a very thin region above the body | ||
|- | |- | ||
− | | 00: | + | | 00:46 |
|where the velocity is 0.99 times the '''free stream velocity'''. | |where the velocity is 0.99 times the '''free stream velocity'''. | ||
|- | |- | ||
− | | 00: | + | | 00:51 |
| This is a diagram of '''flow over the flat plate'''. | | This is a diagram of '''flow over the flat plate'''. | ||
|- | |- | ||
− | | 00: | + | | 00:54 |
|The''' boundary conditions''' are given as follows. | |The''' boundary conditions''' are given as follows. | ||
You have the '''Inlet''', the '''Plate''', '''Top''' – which is the '''Farfield''' and '''Outlet''' – which is the''' pressure outlet boundary'''. | You have the '''Inlet''', the '''Plate''', '''Top''' – which is the '''Farfield''' and '''Outlet''' – which is the''' pressure outlet boundary'''. | ||
|- | |- | ||
− | | 01: | + | | 01:05 |
| The '''Free stream velocity U = 1 m/s''' and we are solving this for '''Reynolds number (Re) = 100'''. | | The '''Free stream velocity U = 1 m/s''' and we are solving this for '''Reynolds number (Re) = 100'''. | ||
|- | |- | ||
− | | 01: | + | | 01:13 |
|Now let us go to the '''home''' folder. In the '''home''' folder, click on the '''OpenFoam''' folder. | |Now let us go to the '''home''' folder. In the '''home''' folder, click on the '''OpenFoam''' folder. | ||
|- | |- | ||
− | | 01: | + | | 01:20 |
− | |Then go to the ' | + | |Then go to the 'run' directory. You will see 'Tutorials'. Click on it. Scroll down and then click on '''Incompressible.''' Scroll down. |
− | Scroll down and then click on '''Incompressible.''' Scroll down. | + | |
|- | |- | ||
− | | 01: | + | | 01:32 |
− | |You will see the | + | |You will see the 'simpleFoam' folder. Click on it. This '''solver''' suits our case. |
|- | |- | ||
− | | 01: | + | | 01:39 |
| In this, create a folder by the name '''flatplate. '''Right click - '''Create New Folder -''' '''flatplate'''. | | In this, create a folder by the name '''flatplate. '''Right click - '''Create New Folder -''' '''flatplate'''. | ||
|- | |- | ||
− | | 01: | + | | 01:53 |
| Now, let's open the '''pitzdaily''' case. | | Now, let's open the '''pitzdaily''' case. | ||
|- | |- | ||
− | | 01: | + | | 01:56 |
| Let me zoom this. Copy the three folders - '''0, constant '''and '''system'''. Copy this. | | Let me zoom this. Copy the three folders - '''0, constant '''and '''system'''. Copy this. | ||
|- | |- | ||
− | | | + | | 02:04 |
| Now let us go one level back. '''Paste''' these three folders inside the''' flatplate '''folder. | | Now let us go one level back. '''Paste''' these three folders inside the''' flatplate '''folder. | ||
|- | |- | ||
− | | 02: | + | | 02:14 |
| Open the '''constant''' folder and then the '''polyMesh''' folder. | | Open the '''constant''' folder and then the '''polyMesh''' folder. | ||
|- | |- | ||
− | |02: | + | |02:19 |
| Change the geometry and '''boundary condition''' names in the '''blockMeshDict '''file. | | Change the geometry and '''boundary condition''' names in the '''blockMeshDict '''file. | ||
|- | |- | ||
− | |02: | + | |02:24 |
| I have already made the changes. Let us open the '''blockMeshDict''' file . Scroll down. The geometry is in meters. | | I have already made the changes. Let us open the '''blockMeshDict''' file . Scroll down. The geometry is in meters. | ||
|- | |- | ||
− | |02: | + | |02:34 |
| We have set the dimensions of the '''flatplate'''. | | We have set the dimensions of the '''flatplate'''. | ||
|- | |- | ||
− | | 02: | + | | 02:38 |
| We can see the '''simpleGrading. '''It is kept as (1 3 1) as we need a finer '''mesh''' near the plate. | | We can see the '''simpleGrading. '''It is kept as (1 3 1) as we need a finer '''mesh''' near the plate. | ||
|- | |- | ||
− | |02: | + | |02:24 |
| Now close this. Go two levels back. | | Now close this. Go two levels back. | ||
|- | |- | ||
− | |02: | + | |02:50 |
| Similarly, make changes in the '''boundary condition''' names inside the files in the '0' folder. | | Similarly, make changes in the '''boundary condition''' names inside the files in the '0' folder. | ||
|- | |- | ||
− | | 02: | + | | 02:57 |
|These files have '''pressure, velocity''' and '''wall''' functions. | |These files have '''pressure, velocity''' and '''wall''' functions. | ||
|- | |- | ||
− | | | + | |03:03 |
| To calculate the values of '''wall''' functions, please refer to the earlier tutorial in the '''OpenFoam''' series. Let us go one level back. | | To calculate the values of '''wall''' functions, please refer to the earlier tutorial in the '''OpenFoam''' series. Let us go one level back. | ||
|- | |- | ||
− | |03: | + | |03:12 |
| The '''system''' folder can be kept default. Let us close this. | | The '''system''' folder can be kept default. Let us close this. | ||
|- | |- | ||
− | |03: | + | |03:18 |
| Now let us open the '''terminal window.''' In the terminal window, type "run" and press '''Enter.''' | | Now let us open the '''terminal window.''' In the terminal window, type "run" and press '''Enter.''' | ||
|- | |- | ||
− | | 03: | + | | 03:27 |
| Type '''cd space tutorials ''' press''' Enter.''' | | Type '''cd space tutorials ''' press''' Enter.''' | ||
|- | |- | ||
− | | 03: | + | | 03:30 |
| Type '''cd incompressible '''press''' Enter.''' | | Type '''cd incompressible '''press''' Enter.''' | ||
|- | |- | ||
− | | 03: | + | | 03:34 |
| Type '''cd space simpleFoam '''press''' Enter.''' | | Type '''cd space simpleFoam '''press''' Enter.''' | ||
|- | |- | ||
− | | 03: | + | | 03:40 |
| Now type "ls" and press '''Enter.''' | | Now type "ls" and press '''Enter.''' | ||
|- | |- | ||
− | |03: | + | |03:43 |
| We can see the '''flatplate''' folder. | | We can see the '''flatplate''' folder. | ||
|- | |- | ||
− | | 03: | + | | 03:46 |
| Now, type '''cd space flatplate '''and press '''Enter.''' | | Now, type '''cd space flatplate '''and press '''Enter.''' | ||
|- | |- | ||
− | | 03: | + | | 03:51 |
| Now type "ls" and press '''Enter.''' | | Now type "ls" and press '''Enter.''' | ||
|- | |- | ||
− | |03: | + | |03:54 |
| You can see the three folders '''0, constant''' and '''system.''' | | You can see the three folders '''0, constant''' and '''system.''' | ||
|- | |- | ||
− | | 03: | + | | 03:58 |
| Now, we will '''mesh''' the geometry. We are using a '''course mesh''' for this problem. '''Meshing''' can be done by typing '''blockMesh''' in the terminal. | | Now, we will '''mesh''' the geometry. We are using a '''course mesh''' for this problem. '''Meshing''' can be done by typing '''blockMesh''' in the terminal. | ||
|- | |- | ||
− | | | + | |04:07 |
| Press '''Enter.''' '''Meshing''' has been done. | | Press '''Enter.''' '''Meshing''' has been done. | ||
|- | |- | ||
− | |04: | + | |04:10 |
| Note that if there is some error in the '''blockMesh''' file, it will be shown in the terminal window. | | Note that if there is some error in the '''blockMesh''' file, it will be shown in the terminal window. | ||
|- | |- | ||
− | | 04: | + | | 04:16 |
| To view the geometry, type “paraFoam”, press '''Enter.''' | | To view the geometry, type “paraFoam”, press '''Enter.''' | ||
|- | |- | ||
− | | 04: | + | | 04:22 |
| After the '''ParaView''' window opens, on the left hand side of the '''object inspector''' menu, click '''Apply'''. | | After the '''ParaView''' window opens, on the left hand side of the '''object inspector''' menu, click '''Apply'''. | ||
|- | |- | ||
− | | 04: | + | | 04:30 |
|We can see the '''geometry'''. Close the '''ParaView''' window. Let me switch back to the slides. | |We can see the '''geometry'''. Close the '''ParaView''' window. Let me switch back to the slides. | ||
|- | |- | ||
− | | 04: | + | | 04:37 |
| The '''solver''' we are using here is '''simpleFoam.''' '''SimpleFoam''' is a '''steady state solver ''' for '''in compressible '''and''' turbulent''' flows. | | The '''solver''' we are using here is '''simpleFoam.''' '''SimpleFoam''' is a '''steady state solver ''' for '''in compressible '''and''' turbulent''' flows. | ||
|- | |- | ||
− | | 04: | + | | 04:46 |
| Let me switch back to the terminal window. In the terminal window, type "simpleFoam" and press '''Enter.''' | | Let me switch back to the terminal window. In the terminal window, type "simpleFoam" and press '''Enter.''' | ||
|- | |- | ||
− | | 04: | + | | 04:54 |
|You will see the '''iterations''' running in the terminal window. | |You will see the '''iterations''' running in the terminal window. | ||
|- | |- | ||
− | | | + | | 05:00 |
| Once the solving is done, type "paraFoam" to view the results. | | Once the solving is done, type "paraFoam" to view the results. | ||
|- | |- | ||
− | | | + | | 05:04 |
| On the left hand side of the '''Object Inspector''' menu, click '''Apply''' to view the geometry. | | On the left hand side of the '''Object Inspector''' menu, click '''Apply''' to view the geometry. | ||
|- | |- | ||
− | | 05: | + | | 05:10 |
| Scroll down the '''properties''' panel of the '''Object Inspector''' menu for '''time step''', '''regions''' and '''fields'''. | | Scroll down the '''properties''' panel of the '''Object Inspector''' menu for '''time step''', '''regions''' and '''fields'''. | ||
|- | |- | ||
− | | 05: | + | | 05:17 |
| To view the '''contours''' from the top drop down menu, in the '''Active Variable Control '''menu, change from '''solid color''' to capital 'U'. | | To view the '''contours''' from the top drop down menu, in the '''Active Variable Control '''menu, change from '''solid color''' to capital 'U'. | ||
|- | |- | ||
− | |05: | + | |05:28 |
| You can see the initial condition of the '''velocity'''. | | You can see the initial condition of the '''velocity'''. | ||
|- | |- | ||
− | | 05: | + | | 05:32 |
| Now on top of the '''ParaView''' window, you will see the '''VCR''' control. | | Now on top of the '''ParaView''' window, you will see the '''VCR''' control. | ||
|- | |- | ||
− | | 05: | + | | 05:37 |
| Click on the '''Play''' button. | | Click on the '''Play''' button. | ||
|- | |- | ||
− | |05: | + | |05:42 |
| You will see the '''contour''' of '''Pressure''' or '''Velocity''' on the flat plate accordingly. | | You will see the '''contour''' of '''Pressure''' or '''Velocity''' on the flat plate accordingly. | ||
|- | |- | ||
− | | 05: | + | | 05:48 |
− | | This is the '''velocity contour'''. | + | | This is the '''velocity contour'''. Toggle on the '''Color legend'''. |
|- | |- | ||
− | | 05: | + | | 05:52 |
| To do this, click on the '''color legend '''icon on the '''Active Variable Control''' menu. | | To do this, click on the '''color legend '''icon on the '''Active Variable Control''' menu. | ||
|- | |- | ||
− | | 05: | + | | 05:59 |
| Click '''Apply''' in the '''Object inspector '''menu. | | Click '''Apply''' in the '''Object inspector '''menu. | ||
|- | |- | ||
− | | | + | | 06:02 |
| In the '''Object inspector '''menu, click on '''Display'''. | | In the '''Object inspector '''menu, click on '''Display'''. | ||
|- | |- | ||
− | | | + | | 06:06 |
− | |'''Scroll down''' and click on '''Rescale | + | |'''Scroll down''' and click on '''Rescale to data range'''. |
|- | |- | ||
− | | 06: | + | | 06:12 |
− | | Let me shift this '''Color legend''' on top to visualize the '''Vector Plot'''. Go to the '''Filters''' Menu > '''Common''' > ''' | + | | Let me shift this '''Color legend''' on top to visualize the '''Vector Plot'''. Go to the '''Filters''' Menu > '''Common''' > '''Glyph'''. |
|- | |- | ||
− | |06: | + | |06:24 |
| Go to the '''Properties''' in '''Object Inspector menu'''. | | Go to the '''Properties''' in '''Object Inspector menu'''. | ||
|- | |- | ||
− | |06: | + | |06:29 |
− | | Click '''Apply''' on the left hand side of '''Object Inspector''' | + | | Click '''Apply''' on the left hand side of '''Object Inspector''' menu. |
|- | |- | ||
− | | 06: | + | | 06:33 |
| You can change the number of '''vectors''' by changing their size at the bottom. | | You can change the number of '''vectors''' by changing their size at the bottom. | ||
|- | |- | ||
− | | 06: | + | | 06:38 |
− | | Also, the size of the '''vectors''' can be changed by clicking on the '''Edit''' button. The ''' | + | | Also, the size of the '''vectors''' can be changed by clicking on the '''Edit''' button. The '''Set Scale Factor''' can be changed to 0.1. |
|- | |- | ||
− | | 06: | + | | 06:50 |
| Again, click the '''Apply''' button. | | Again, click the '''Apply''' button. | ||
|- | |- | ||
− | |06: | + | |06:53 |
| Now let me zoom this. | | Now let me zoom this. | ||
|- | |- | ||
− | | 06: | + | | 06:55 |
− | | To do this, in the '''Active Variable Control '''menu, click on ''' | + | | To do this, in the '''Active Variable Control '''menu, click on '''zoom To Box '''option |
|- | |- | ||
− | |06: | + | |06:61 |
− | | | + | | and '''zoom''' over any area that you desire. |
|- | |- | ||
− | | | + | | 07:07 |
− | | We can see the | + | | We can see the parabolic variation of the '''vector plots '''as the '''flow''' moves over the''' plate'''. |
|- | |- | ||
− | | 07: | + | | 07:13 |
| Delete this. Now delete the '''vector plot.''' | | Delete this. Now delete the '''vector plot.''' | ||
|- | |- | ||
− | | 07: | + | | 07:18 |
− | | Also, we can see that the color near to 1 corresponds to the | + | | Also, we can see that the color near to 1 corresponds to the velocity of 0.99 times the '''free stream velocity'''. |
|- | |- | ||
− | | 07: | + | | 07:26 |
− | | You can also plot the variation of velocity along the X and Y axes using the '''plot | + | | You can also plot the variation of velocity along the X and Y axes using the '''plot over data line'''. |
|- | |- | ||
− | | 07: | + | | 07:35 |
| This brings us to the end of the tutorial. In this tutorial, we learnt: | | This brings us to the end of the tutorial. In this tutorial, we learnt: | ||
− | + | '''Geometry''' and '''meshing''' of the '''flat plate geometry''' and | |
− | + | Vector plotting in '''ParaView'''. | |
|- | |- | ||
− | | 07: | + | | 07:46 |
− | | As an Assignment- | + | | As an Assignment- Create a '''geometry''' of '''flow over a flat plate'''.Refine the '''grid spacing''' near the plate. |
− | Create a '''geometry''' of '''flow over a flat plate'''. | + | |
− | Refine the '''grid spacing''' near the plate. | + | |
|- | |- | ||
− | | 07: | + | | 07:54 |
| Watch the video available at this URL: http://spoken-tutorial.org/What_is_a_Spoken_Tutorial | | Watch the video available at this URL: http://spoken-tutorial.org/What_is_a_Spoken_Tutorial | ||
It summarizes the Spoken Tutorial project. If you do not have good bandwidth, you can download and watch it. | It summarizes the Spoken Tutorial project. If you do not have good bandwidth, you can download and watch it. | ||
|- | |- | ||
− | | | + | | 08:04 |
| The Spoken Tutorial Project team: | | The Spoken Tutorial Project team: | ||
− | + | Conducts workshops using spoken tutorials. Gives certificates to those who pass an online test. | |
− | + | ||
For more details, please write to: '''contact@spoken-tutorial.org''' | For more details, please write to: '''contact@spoken-tutorial.org''' | ||
|- | |- | ||
− | | 08: | + | | 08:38 |
| '''Spoken Tutorial''' project is a part of the '''Talk to a Teacher''' project. It is supported by the National Mission on Education through ICT, MHRD, Government of India. | | '''Spoken Tutorial''' project is a part of the '''Talk to a Teacher''' project. It is supported by the National Mission on Education through ICT, MHRD, Government of India. | ||
|- | |- | ||
− | | 08: | + | | 08:48 |
− | |More information on this mission is available at this URL: http://spoken-tutorial.org/NMEICT-Intro. | + | |More information on this mission is available at this URL:http://spoken-tutorial.org/NMEICT-Intro. |
− | This is Rahul Joshi from '''IIT Bombay''', signing off. | + | This is Rahul Joshi from '''IIT Bombay''', signing off.Thanks for joining. |
− | Thanks for joining. | + | |
|} | |} |
Latest revision as of 16:50, 11 April 2019
Time | Narration |
00:01 | Hello and welcome to the spoken tutorial on Flow over a flat plate using OpenFOAM. |
00:06 | In this tutorial, I will teach you about:
Geometry of the flat plate Changing the grid spacing in meshing Postprocessing results in ParaView and Visualizing using Vector Plot. |
00:19 | To record this tutorial, I am using:
Linux Operating system Ubuntu version 12.04. OpenFOAM version 2.1.1 and ParaView version 3.12.0 |
00:30 | 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 |
00:35 | Flow over flat plate is a fundamental problem in fluid mechanics. |
00:40 | We can visualize the growth of the boundary layer. Boundary layer is a very thin region above the body |
00:46 | where the velocity is 0.99 times the free stream velocity. |
00:51 | This is a diagram of flow over the flat plate. |
00:54 | The boundary conditions are given as follows.
You have the Inlet, the Plate, Top – which is the Farfield and Outlet – which is the pressure outlet boundary. |
01:05 | The Free stream velocity U = 1 m/s and we are solving this for Reynolds number (Re) = 100. |
01:13 | Now let us go to the home folder. In the home folder, click on the OpenFoam folder. |
01:20 | Then go to the 'run' directory. You will see 'Tutorials'. Click on it. Scroll down and then click on Incompressible. Scroll down. |
01:32 | You will see the 'simpleFoam' folder. Click on it. This solver suits our case. |
01:39 | In this, create a folder by the name flatplate. Right click - Create New Folder - flatplate. |
01:53 | Now, let's open the pitzdaily case. |
01:56 | Let me zoom this. Copy the three folders - 0, constant and system. Copy this. |
02:04 | Now let us go one level back. Paste these three folders inside the flatplate folder. |
02:14 | Open the constant folder and then the polyMesh folder. |
02:19 | Change the geometry and boundary condition names in the blockMeshDict file. |
02:24 | I have already made the changes. Let us open the blockMeshDict file . Scroll down. The geometry is in meters. |
02:34 | We have set the dimensions of the flatplate. |
02:38 | We can see the simpleGrading. It is kept as (1 3 1) as we need a finer mesh near the plate. |
02:24 | Now close this. Go two levels back. |
02:50 | Similarly, make changes in the boundary condition names inside the files in the '0' folder. |
02:57 | These files have pressure, velocity and wall functions. |
03:03 | To calculate the values of wall functions, please refer to the earlier tutorial in the OpenFoam series. Let us go one level back. |
03:12 | The system folder can be kept default. Let us close this. |
03:18 | Now let us open the terminal window. In the terminal window, type "run" and press Enter. |
03:27 | Type cd space tutorials press Enter. |
03:30 | Type cd incompressible press Enter. |
03:34 | Type cd space simpleFoam press Enter. |
03:40 | Now type "ls" and press Enter. |
03:43 | We can see the flatplate folder. |
03:46 | Now, type cd space flatplate and press Enter. |
03:51 | Now type "ls" and press Enter. |
03:54 | You can see the three folders 0, constant and system. |
03:58 | Now, we will mesh the geometry. We are using a course mesh for this problem. Meshing can be done by typing blockMesh in the terminal. |
04:07 | Press Enter. Meshing has been done. |
04:10 | Note that if there is some error in the blockMesh file, it will be shown in the terminal window. |
04:16 | To view the geometry, type “paraFoam”, press Enter. |
04:22 | After the ParaView window opens, on the left hand side of the object inspector menu, click Apply. |
04:30 | We can see the geometry. Close the ParaView window. Let me switch back to the slides. |
04:37 | The solver we are using here is simpleFoam. SimpleFoam is a steady state solver for in compressible and turbulent flows. |
04:46 | Let me switch back to the terminal window. In the terminal window, type "simpleFoam" and press Enter. |
04:54 | You will see the iterations running in the terminal window. |
05:00 | Once the solving is done, type "paraFoam" to view the results. |
05:04 | On the left hand side of the Object Inspector menu, click Apply to view the geometry. |
05:10 | Scroll down the properties panel of the Object Inspector menu for time step, regions and fields. |
05:17 | To view the contours from the top drop down menu, in the Active Variable Control menu, change from solid color to capital 'U'. |
05:28 | You can see the initial condition of the velocity. |
05:32 | Now on top of the ParaView window, you will see the VCR control. |
05:37 | Click on the Play button. |
05:42 | You will see the contour of Pressure or Velocity on the flat plate accordingly. |
05:48 | This is the velocity contour. Toggle on the Color legend. |
05:52 | To do this, click on the color legend icon on the Active Variable Control menu. |
05:59 | Click Apply in the Object inspector menu. |
06:02 | In the Object inspector menu, click on Display. |
06:06 | Scroll down and click on Rescale to data range. |
06:12 | Let me shift this Color legend on top to visualize the Vector Plot. Go to the Filters Menu > Common > Glyph. |
06:24 | Go to the Properties in Object Inspector menu. |
06:29 | Click Apply on the left hand side of Object Inspector menu. |
06:33 | You can change the number of vectors by changing their size at the bottom. |
06:38 | Also, the size of the vectors can be changed by clicking on the Edit button. The Set Scale Factor can be changed to 0.1. |
06:50 | Again, click the Apply button. |
06:53 | Now let me zoom this. |
06:55 | To do this, in the Active Variable Control menu, click on zoom To Box option |
06:61 | and zoom over any area that you desire. |
07:07 | We can see the parabolic variation of the vector plots as the flow moves over the plate. |
07:13 | Delete this. Now delete the vector plot. |
07:18 | Also, we can see that the color near to 1 corresponds to the velocity of 0.99 times the free stream velocity. |
07:26 | You can also plot the variation of velocity along the X and Y axes using the plot over data line. |
07:35 | This brings us to the end of the tutorial. In this tutorial, we learnt:
Geometry and meshing of the flat plate geometry and Vector plotting in ParaView. |
07:46 | As an Assignment- Create a geometry of flow over a flat plate.Refine the grid spacing near the plate. |
07:54 | Watch the video available at this URL: http://spoken-tutorial.org/What_is_a_Spoken_Tutorial
It summarizes the Spoken Tutorial project. If you do not have good bandwidth, you can download and watch it. |
08:04 | The Spoken Tutorial Project team:
Conducts workshops using spoken tutorials. Gives certificates to those who pass an online test. For more details, please write to: contact@spoken-tutorial.org |
08:38 | Spoken Tutorial project is a part of the Talk to a Teacher project. It is supported by the National Mission on Education through ICT, MHRD, Government of India. |
08:48 | More information on this mission is available at this URL:http://spoken-tutorial.org/NMEICT-Intro.
This is Rahul Joshi from IIT Bombay, signing off.Thanks for joining. |