Use separation of variables to solve the 2D transient heat equation on a rectangular domain with homogeneous temperature boundary conditions. ди Ot C 2u მ12მ2 (1) u(0, y, t) = u(a, y, t) = 0 (2) 13 ۵ u(x, 0,t) = u(x, b,t) = 0 u(x, y, 0) = f(x, y)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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Use separation of variables to solve the 2D transient heat equation on a rectangular domain with
homogeneous temperature boundary conditions.
ди
Ot
C
2u
მ12მ2
(1)
u(0, y, t) = u(a, y, t) = 0
(2)
13
۵
u(x, 0,t) = u(x, b,t) = 0
u(x, y, 0) = f(x, y)
Transcribed Image Text:Use separation of variables to solve the 2D transient heat equation on a rectangular domain with homogeneous temperature boundary conditions. ди Ot C 2u მ12მ2 (1) u(0, y, t) = u(a, y, t) = 0 (2) 13 ۵ u(x, 0,t) = u(x, b,t) = 0 u(x, y, 0) = f(x, y)
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