Heat flow in a cylinder

Reid, Walter P.

doi:10.1090/qam/93308

Online ISSN 1552-4485; Print ISSN 0033-569X

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Heat flow in a cylinder

Author: Walter P. Reid
Journal: Quart. Appl. Math. 16 (1958), 147-153
MSC: Primary 80.0X
DOI: https://doi.org/10.1090/qam/93308
MathSciNet review: 93308
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Abstract | References | Similar Articles | Additional Information

Abstract: A formal, analytical solution is given to the problem of finding the temperature in a cylinder which is gaining or losing heat by radiation exchange with a concentric, thin-walled metal tube. The tube in turn is radiating to, or receiving radiation from, its surroundings. A general treatment of systems with this type of boundary condition is presented first, and then the given problem is solved as a particular case.

Walter P. Reid, Heat flow in a half space, Quart. Appl. Math. 14 (1956), 206–208. MR 79488, DOI https://doi.org/10.1090/S0033-569X-1956-79488-7
Ruel V. Churchill, Fourier Series and Boundary Value Problems, McGraw-Hill Book Company, Inc., New York and London, 1941. MR 0003251