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Step 6: Analyze Results

Plot Velocity Vectors

Let's see the velocity vectors along the airfoil.

Display > Vectors

Enter 4 next to Scale. Enter 3 next to Skip. Click Display.

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As can be seen, the velocity of the upper surface is faster than the velocity on the lower surface.

White Background on Graphics Window

To get white background go to:
Main Menu > File > Hardcopy
Make sure that Reverse Foreground/Background is checked and select Color in Coloring section. Click Preview. Click No when prompted "Reset graphics window?"



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On the leading edge, we see a stagnation point where the velocity of the flow is nearly zero. The fluid accelerates on the upper surface as can be seen from the change in colors of the vectors.

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On the trailing edge, the flow on the upper surface decelerates and converge with the flow on the lower surface.

Do note that the time for fluid to travel top and bottom surface of the airfoil is not necessarily the same, as common misconception

Plot Pressure Coefficient

Pressure Coefficient is a dimensionless parameter defined by the equation
where
is the static pressure,
is the reference pressure, and 
is the reference dynamic pressure defined by
. The reference pressure, density, and velocity are defined in the Reference Values panel in Step 5. Please refer to FLUENT's help for more information. Go to Help > User's Guide Index for help.

Plot > XY Plot...

Change the Y Axis Function to Pressure..., followed by Pressure Coefficient. Then, select airfoil under Surfaces.

Click Plot.

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The negative part of the plot is upper surface of the airfoil as the pressure is lower than the reference pressure.

Plot Pressure Contours

Plot static pressure contours.

Display > Contours...

Select Pressure... and Static Pressure from under Contours Of. Click Display. Check also the Filled and Draw Grid under Options menu.

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From the figure, we see that in one grid, there is no more than 3 different pressure contours which suggests that our mesh is fine enough.

How can we compare the pressure contour with velocity vector plot? We see that the pressure on the upper surface is negative while the velocity on the upper surface is higher than the reference velocity. Whenever there is high velocity vectors, we have low pressures and vise versa. The phenomenon that we see comply with the Bernoulli equation.

Comparisons

With our simulation data, we can now compare the Fluent with experimental data. The summary of result is shown in the table.


CL

Cd

FLUENT

0.647

0.00249

Experiment

0.6

0.007

Theory

-

0

The experimental data is taken from Theory of Wing Sections By Ira Herbert Abbott, Albert Edward Von Doenhoff pg. 493

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Go to Step 7: Refine Mesh

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