1 ³u + r2 d02 1 ди dr2 r dr 0 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section: Chapter Questions
Problem 72SGR
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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 

ди
=(1,0) = -1, 0<θ< 2π
dr
1,
0<θ<플
u(2, 0) = {0,
1,
2
Transcribed Image Text:ди =(1,0) = -1, 0<θ< 2π dr 1, 0<θ<플 u(2, 0) = {0, 1, 2
1 0?u
+
r2 302
1 ди
n.
=D0
dr2
r dr
Transcribed Image Text:1 0?u + r2 302 1 ди n. =D0 dr2 r dr
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