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heat transfer in 3D object with symmetric geometry

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Hi
I am solving a heat transfer problem for a 3D object. The geometry of the object has a pi/6 rotational symmetry about the z-axis. I have solved the problem for the symmetric segment without enforcing any symmetrical boundary conditions in the COMSOL. After solving, I get (x,y,zT) data for the symmetric (pi/6) element. Now I want to remap /transform this data so that I can get the solution for the entire object. This I do in matlab with coordinate transformation of the segment using 3x3 rotational matrix [cos(phi) sin(phi) 0; -sin(phi); cos(phi) 0; 0 0 1]. Here, phi = pi/6 is rotation angle about z-axis. By performing the coordinate transformation on successive segment 6-times, I can generate the data for the entire object. I am not quite sure if this procedure is correct. In other words, is it true that the geometric symmetry in the object also leads to symmetrical solution of the problem?


R.K.

1 Reply Last Post 7 mai 2012, 09:12 UTC−4

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Posted: 1 decade ago 7 mai 2012, 09:12 UTC−4
Hi,

in theory and in a perfect world symmetry is maintained. In the real world you have disturbances, simplifications and imperfections that may compromise symmetry very significantly.

Cheers
Edgar
Hi, in theory and in a perfect world symmetry is maintained. In the real world you have disturbances, simplifications and imperfections that may compromise symmetry very significantly. Cheers Edgar

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