Question 9. The following non-homogeneous heat equation Ut = 3uxx + π-x models the distribution of heat in a metal rod. Solve the equation if the initial temperature u(x, 0) = x, and the the boundary conditions are: u(0, t) = u(π, t) = = 0.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.35P
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Question 9. The following non-homogeneous heat equation
Ut
=
3uxx +π-x
models the distribution of heat in a metal rod.
Solve the equation if the initial temperature u(x, 0) = x, and the the boundary conditions
are:
u(0, t) = u(π, t) = 0.
Transcribed Image Text:Question 9. The following non-homogeneous heat equation Ut = 3uxx +π-x models the distribution of heat in a metal rod. Solve the equation if the initial temperature u(x, 0) = x, and the the boundary conditions are: u(0, t) = u(π, t) = 0.
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