7. The finite-difference formulation of a typical interior node in for steady, 2-D heat conductionwith 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 thedetails before arriving at the final solution.b. Modify the difference equation given in part (a) for the 3-D case, but don't include heatgeneration.

For solution refer below images.

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.

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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