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Step 6: Analyze Results

Velocity Vector

Let's first look at the velocity vector in the nozzle.

Display > Vectors...

Select Velocity under Vectors of and Velocity... under Color by. Set Scale to 0.4



 
Click Display.
 


We see that the flow is smoothly accelerating from subsonic to supersonic.

To include the lower half of nozzle, do the following:

 Display > Views...
Select centerline and click Apply

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?"


Mach Number Contour

Let's now look at the mach number

Display > Contours

Select Velocity... under Contours of and select Mach Number. Set Levels to 30.


 
Click Display.



Mach Number Plot

As in the previous tutorials, we are going to plot the velocity along the centerline. However, this time, we are going to use the dimensionless Mach quantity.

Plot > XY Plot

We are going plot the variation of the Mach number in the axial direction at the axis and wall. In addition, we will plot the corresponding variation from 1D theory. You can download the file here: mach_1D.xy.

Do everything as we would do for plotting the centerline velocity. However, instead of selecting Axial Velocity as the Y Axis Function, select Mach Number.

Also, since we are going to plot this number at both the wall and axis, select centerline and wall under Surfaces.

Then, load the mach_1D.xy by clicking on Load File....


(Click picture for large image)

Click Plot.


(Click picture for large image)

How does the FLUENT solution compare with the 1D solution?

Is the comparison better at the wall or at the axis? Can you explain this?

Save this plot as machplot.xy by checking Write to File and clicking Write....

Pressure Contour Plot

Sometimes, it is very useful to see how the pressure and temperature changes throughout the object. This can be done via contour plots.

Display > Contours...

First, we are going to plot the pressure contours of the nozzle. Therefore, make sure that under Contours Of, Pressure... and Static Pressure is selected.

We want this at a fine enough granularity so that we can see the pressure changes clearly. Under Levels, change the default 20 to 40. This increases the number of lines in the contour plot so that we can get a more accurate result.

Click Display.


(Click picture for large image)

Notice that the pressure on the fluid gets smaller as it flows to the right, as is consistent with fluid going through a nozzle.

Pressure Plot

Let's look at the pressure along the centerline and the wall.


 
Plot > XY Plot

Make sure that under Y-Axis Function, you see Pressure... and Static Pressure. Under Surfaces, select centerline and wall. Click Plot.

It is good to write the data into a file to have greater flexibility on how to present the result in the report. At the same XY Plot windows, select Write to File. Then click Write... Name the file "p.xy" in the directory that you prefer.
 
Open "p.xy" file with notepad or other word processing software. At the top, we see:
 

(title "Static Pressure")

(labels "Position" "Static Pressure")

First line tells us the properties we are comparing. For our case, we are looking at Static Pressure.
Second line tells us about the x and y label.
 
There is a header at the beginning of each the data sets so that we can differentiate which data sets we are looking at. For our case, we have "centerline" and "wall" data sets.

 
Following is an example of two data sets (centerline and wall).

((xy/key/label "centerline")

-0.5    97015.3

-0.48    96949.9


.


.


.


0.5    6012.92

)



((xy/key/label "wall")

-0.5    100853

-0.480911    100496


.


.


.


0.5    2874.7

)

Try copy the appropriate data sets to excel and plot the results. 

Temperature Contour Plot

Now we will plot the temperature contours and see how the temperature varies throughout the nozzle.

Back in the Contours window, under Contours Of, select Temperature... and Static Temperature.

Click Display.


(Click picture for large image)

As we can see, the temperature decreases towards the right side of the nozzle, indicating a change of internal energy to kinetic energy as the fluid speeds up.

Go to Step 7: Refine Mesh

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