Find the steady-state temperature u(r,θ) in a circular hole in an infinite plate of radius r=1 subject to the condition u(1,θ) = {π-θ,  0<θ<π and θ-π,  π<θ<2π}

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 30E
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Find the steady-state temperature u(r,θ) in a circular hole in an infinite plate of radius r=1 subject to the condition

u(1,θ) = {π-θ,  0<θ<π and θ-π,  π<θ<2π}

Find the steady-state temperature u(r,0) in a circular hole in an infinite plate
T – 0 0<0<A
of radius r=1 subject to the condition u(1,0) =
0-
A <0< 2n
Transcribed Image Text:Find the steady-state temperature u(r,0) in a circular hole in an infinite plate T – 0 0<0<A of radius r=1 subject to the condition u(1,0) = 0- A <0< 2n
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,