We have a cylinder of height H and radius R. Find the solution of Laplace's Equation (Au = 0) in this cylinder with the following boundary data. • u(r,0,0) = f(r,0) (bottom of cylinder held at a given temperature profile) u(r,0,H)= 0 (top of cylinder held at 0) · Ur (R,0, z) = 0 (side of the cylinder is insulated).

We have a cylinder of height H and radius R. Find the solution of Laplace's Equation (Au = 0) in this cylinder with the following boundary data. • u(r,0,0) = f(r,0) (bottom of cylinder held at a given temperature profile) u(r,0,H)= 0 (top of cylinder held at 0) · Ur (R,0, z) = 0 (side of the cylinder is insulated).

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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