For plate with dimension (1x2), length in x-direction is 1, and y-direction is 2, left side is kept at zero- degree, bottom given temperature =x, right side is well insulated, top side is given zero degree, the Eigen functions are

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.52P
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For plate with dimension (1x2), length in x-direction is 1, and y -direction is 2, left side is kept at zero-
degree, bottom given temperature =x, right side is well insulated, top side is given zero degree, the Eigen
functions are
a) sin(n+)x, n 0,1,2,3,..
b) sin( n+.
1, 7
x,n 0,1,2,3,..
c) cos(n+-)x, n = 0,1,2,3.
2 2
d) none of them
Transcribed Image Text:For plate with dimension (1x2), length in x-direction is 1, and y -direction is 2, left side is kept at zero- degree, bottom given temperature =x, right side is well insulated, top side is given zero degree, the Eigen functions are a) sin(n+)x, n 0,1,2,3,.. b) sin( n+. 1, 7 x,n 0,1,2,3,.. c) cos(n+-)x, n = 0,1,2,3. 2 2 d) none of them
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