7. The finite-difference formulation of a typical interior node in for steady, 2-D heat conduction with a constant thermal conductivity in rectangular coordinates is expressed as follows: Tm-1,n – 2Tm,n + Tm+1,n , Tm,n-1– 27m,n + Tm,n+1 т,п (Ax)² (Ay)? a. Modify the above difference equation for a medium with heat generation. Show all the details before arriving at the final solution. b. Modify the difference equation given in part (a) for the 3-D case, but don't include heat generation.

Elements Of Electromagnetics
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7. The finite-difference formulation of a typical interior node in for steady, 2-D heat conduction
with a constant thermal conductivity in rectangular coordinates is expressed as follows:
'm-1,n – 2Tm,n + Tm+1,n , Tm,n-1– 27m,n + Tm,n+:
т,п+1
(Ax)2
(Ay)?
a. Modify the above difference equation for a medium with heat generation. Show all the
details before arriving at the final solution.
b. Modify the difference equation given in part (a) for the 3-D case, but don't include heat
generation.
Transcribed Image Text:7. The finite-difference formulation of a typical interior node in for steady, 2-D heat conduction with a constant thermal conductivity in rectangular coordinates is expressed as follows: 'm-1,n – 2Tm,n + Tm+1,n , Tm,n-1– 27m,n + Tm,n+: т,п+1 (Ax)2 (Ay)? a. Modify the above difference equation for a medium with heat generation. Show all the details before arriving at the final solution. b. Modify the difference equation given in part (a) for the 3-D case, but don't include heat generation.
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