Flat Plate Boundary Layer

Problem Specification
1. Create Geometry in GAMBIT
2. Mesh Geometry in GAMBIT
3. Specify Boundary Types in GAMBIT
4. Set Up Problem in FLUENT

5. Solve!

6. Analyze Results

7. Verify Results

Step 6: Analyze Results

Plot Velocity Vectors

Let's plot the velocity vectors obtained from the FLUENT solution.

Zoom in a little using the middle mouse button to peer more closely at the velocity vectors.

zoom in

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Remember to save the image using

Now we will display the pressure coefficient contour. First set the reference velocity.

Select inlet under Compute From

Display > Contours...

Select Pressure... and Static Pressure from under Contours Of. Then select Pressure Coeffient. Check Filled box and set Levels to 90.

pressure coefficient

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Zoom in at the leading edge.

pressure coefficient zoom in

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Why is the pressure not constant at the leading edge of the plate?

Now we will plot the skin friction coefficient along the flat plate.

Change Pressure to Wall Fluxes. After that change Wall Shear Stress to Skin Friction Coefficient. Under Surfaces, select plate. Click Plot.

skin friction

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Compare with skin friction with the Blasius solution. Load the file and plot. (Download file here)

Also, you can change the symbol into lines by going to Curves... and click on the curresponding pattern that you like. Increase the Weight to 3 for readability. Both results should be fairly similar.

skin friction compare

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Now we will look at the velocity along the plate at outlet.

Unchecked Position on X Axis and check Position on Y Axis. Under Plot Direction, set X to 0 and Y to 1. Under X Axis Function, select Velocity... After that change Velocity Magnitude to X Velocity. Finally under surface, click outlet. Before we are ready to plot, click on the Axes... and rescale y axis from 0 to 0.12. Also, checked the Major Rules and Minor Rules for x and y.

Click Apply and Plot.

skin friction coefficient

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To compare with the Blasius solution, click Load File... and select the correct file (download file here)

blasius comparison

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What is the noticeably different between two solutions? Why is the velocity overshoot 1 for FLUENT's solution?

Now we will compare the velocity profile at two sections. Create another section in the middle of the plate.

Check the line tools box and set the initial coordinate of (0.5,0) to final coordinate of (0.5,0.5). Under New Surface Name, type in x_0.5.

We can now plot can compare the velocity profile at the mid point and the outlet of the flow.

Under Surfaces, select outlet and x_0.5 and Plot.

velocity 2 points

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Go to Step 7: Verify Results