1 ³u + r2 d02 1 ди dr2 r dr 0 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the Laplace equation given in cylindrical coordinates for the temperature distribution in a pipe. Calculate the analytical solution of the equation on the annulus
Transcribed Image Text:ди
=(1,0) = -1, 0<θ< 2π
dr
1,
0<θ<플
u(2, 0) = {0,
1,
2
Transcribed Image Text:1 0?u
+
r2 302
1 ди
n.
=D0
dr2
r dr
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