Determine the steady state temperature distribution in a rectangu- lar plate of size 20cm x 20cm by solving the Laplace equation: PT ²T - 0, dz² dy² with boundary conditions: T(0, y) = T (20, y) = 20°, T(r,20) = 40°, and T(r,0) = 0°. Take Ar = 5cm = Ay.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 35E
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Determine the steady state temperature distribution in a rectangu-
lar plate of size 20cm x 20cm by solving the Laplace equation:
0,
urith boundary conditions:
T(0, y) = T(20, y) = 20°, T(x, 20) = 40°, and T(x,0) = 0°. Take Ax = 5cm = Ay.
%3D
Transcribed Image Text:Determine the steady state temperature distribution in a rectangu- lar plate of size 20cm x 20cm by solving the Laplace equation: 0, urith boundary conditions: T(0, y) = T(20, y) = 20°, T(x, 20) = 40°, and T(x,0) = 0°. Take Ax = 5cm = Ay. %3D
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,