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Distribution of temperature

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Old   January 10, 2016, 06:11
Default Distribution of temperature
  #1
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George
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Hello Guys, I've created a simple code which is used to show symmetrical temperature distribution on a disc. But it's only symmetrical in one axis direction. How to change a code to make a circular distribution in all directions not only in one axis ? Is it possible ? I've tried to enter a circle equation but it's not working..
Code:
#include "udf.h"                       
DEFINE_PROFILE(inlet_x_temperature, thread, position)            
{
real x[ND_ND]; /* this will hold the position vector */
real y;            
face_t f;
begin_f_loop(f, thread)
{
F_CENTROID(x,f,thread);     
y = x[1];                          
if(y<=0)
{
F_PROFILE(f, thread, position) = 300-y;
}
else
{
F_PROFILE(f, thread, position) = 300+y;
}
}
end_f_loop(f, thread)
}

Last edited by fnatic09; January 10, 2016 at 10:23.
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Old   January 10, 2016, 20:27
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`e`
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You're currently setting the temperature profile as T(y) = |y| + 300 which agrees well with your result (independent of x).

For a radial temperature profile you must first calculate the radial component r = \sqrt{(x^2 + y^2)} (assuming the origin is at (x,y) = (0,0)) and then T(r) = r + 300.

An example code snippet:

Code:
F_PROFILE(f, thread, position) = sqrt(x[0]*x[0] + x[1]*x[1]) + 300.;
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Old   February 13, 2016, 04:40
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George
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Everything's working fine but now I have a question how to change equation to get parabolic and circular (in all sides) temperature distribution. I attach an image to show what exactly I mean.

Regards
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Old   February 15, 2016, 09:05
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Look again at what `e` typed, but use a different equation for T.
For example: T(r)=300+r^2.

(Or, including units: T(r)=300 K+1 K m^{-2} \cdot r^2.)
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