Solved: The boundary condition of heat transfer (19) -ux

Chapter 12, Problem 12.1.94

(choose chapter or problem)

CAS PROJECT. Isotherms. Find the steady-state solutions (temperatures) in the square plate in Fig. 294 with a = 2 satisfying the following boundary conditions. Graph isotherms.

(a) \(u=\sin \pi x\) on the upper side. 0 on the others.

(b) u = 0 on the vertical sides, assuming that the other sides are perfectly insulated.

(c) Boundary conditions of your choice (such that the solution is not identically zero).

Text Transcription:

u=sin pi x

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