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Panel

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. Refine Mesh
Problem 1
Problem 2

Step 6: Analyze Results

Lift Coefficient

The solution converged after about 480 iterations.

No Format

   476 1.0131e-06 4.3049e-09 1.5504e-09 6.4674e-01 2.4911e-03  0:00:48  524
!  477 solution is converged
   477 9.9334e-07 4.2226e-09 1.5039e-09 6.4674e-01 2.4910e-03  0:00:38  523

From FLUENT main window, we see that the lift coefficient is 0.647. This compare fairly well with the literature result of 0.6 from Abbott et al.

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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Wiki Markup
{panel}
[Problem Specification|FLUENT - Flow over an Airfoil- Problem Specification]
[1. Create Geometry in GAMBIT|FLUENT - Flow over an Airfoil- Step 1]
[2. Mesh Geometry in GAMBIT|FLUENT - Flow over an Airfoil- Step 2]
[3. Specify Boundary Types in GAMBIT|FLUENT - Flow over an Airfoil- Step 3]
[4. Set Up Problem in FLUENT|FLUENT - Flow over an Airfoil- Step 4]
[5. Solve\!|FLUENT - Flow over an Airfoil- Step 5]
{color:#ff0000}{*}6. Analyze Results{*}{color}
[7. Refine Mesh|FLUENT - Flow over an Airfoil- Step 7]
[Problem 1|FLUENT - Flow over an Airfoil- Problem 1]
[Problem 2|FLUENT - Flow over an Airfoil- Problem 2]
{panel}

h2. Step 6: Analyze Results


h4. Plot Velocity Vectors

Let's see the velocity vectors along the airfoil.

*Display > Vectors*

Enter 4 next to {color:#660099}{*}{_}Scale{_}{*}{color}. Enter 3 next to {color:#660099}{*}{_}Skip{_}{*}{color}. Click {color:#660099}{*}{_}Display{_}{*}{color}.
\\  !velocity magnitude_sm.jpg!
{newwindow: Higher Resolution Image}https://confluence.cornell.edu/download/attachments/90744040/velocity%20magnitude.jpg{newwindow}
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As can be 


As can be seen,

...

the

...

velocity

...

of

...

the

...

upper

...

surface

...

is

...

faster

...

than

...

the

...

velocity

...

on

...

the

...

lower

...

surface.

{:=
Tip
title
White
Background
on
Graphics
Window
}

To

get

white

background

go

to:

*


Main

Menu

>

File

>

Hardcopy

*


Make

sure

that

{color:#660099}{*}{_}

Reverse

Foreground/Background

{_}{*}{color}

is

checked

and

select

{color:#660099}{*}{_}

Color

{_}{*}{color}

in

{color:#660099}{*}{_}

Coloring

{_}{*}{color}

section.

Click

{color:#660099}{*}{_}

Preview

{_}{*}{color}

.

Click

{color:#660099}{*}{_}

No

{_}{*}{color}

when

prompted

"

_

Reset

graphics

window?"



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\\  !velocity magnitude leading edge_sm.jpg!
{newwindow: Higher Resolution Image} https://confluence.cornell.edu/download/attachments/90744040/velocity%20magnitude%20leading%20edge.jpg{newwindow}
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On the leading 


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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 vectors.
\\  !velocity magnitude trailing edge_sm.jpg!
{newwindow: Higher Resolution Image}https://confluence.cornell.edu/download/attachments/90744040/velocity%20magnitude%20trailing%20edge.jpg{newwindow}
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On the trailing 


On the trailing edge,

...

the

...

flow

...

on

...

the

...

upper

...

surface

...

decelerates

...

and

...

converge

...

with

...

the

...

flow

...

on

...

the

...

lower

...

surface.

...


Info
title

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

Latex

where p is the static pressure,

Pref is the reference pressure, and

qref is the reference dynamic pressure defined by

Latex

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.

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Click Plot.
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https://confluence.cornell.edu/download/attachments/90744040/pressure%20coefficient%20plot.jpg

The lower curve is the upper surface of the airfoil and have a negative pressure coefficient as the pressure is lower than the reference pressure.

Plot Pressure Contours

Plot static pressure contours.

Display > Contours...

Select Pressure... and Pressure Coefficient from under Contours Of. Check the Filled and Draw Grid under Options menu. Set Levels to 50.
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Click Display.  


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https://confluence.cornell.edu/download/attachments/90744040/presssure%20coefficient%20contour%20plot.jpg

 
From the contour of pressure coefficient, we see that there is a region of high pressure at the leading edge (stagnation point) and region of low pressure on the upper surface of airfoil. This is of what we expected from analysis of velocity vector plot. From Bernoulli equation, we know that whenever there is high velocity, we have low pressure and vise versa. 

Go to Step 7: Refine Mesh

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