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.
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.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.13P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93b9799c-39d9-4415-916a-c6e1fbf013ab%2Fd1b5ca5d-b441-4a04-9c64-12415a2270c0%2Fe8m1j7p_processed.png&w=3840&q=75)
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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