2. Exercise §1.3 #6. Consider heat flow in a long circular cylinder where the temperature depends onlyon t and on the distance r to the axis of the cylinder. Here r = √x² + y² is the cylindrical coordinate.From the three-dimensional heat equation derive the equation ut = k(Urr +Ur/r).

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Answered: 2. Exercise §1.3 #6. Consider heat flow…

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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2. Exercise §1.3 #6. Consider heat flow in a long circular cylinder where the temperature depends only on t and on the distance r to the axis of the cylinder. Here r = √x² + y² is the cylindrical coordinate. From the three-dimensional heat equation derive the equation ut = k(urr +Ur/r).