Transient Heat Conduction in Elliptical Plates and Cylinders
- 1 February 1959
- journal article
- Published by ASME International in Journal of Heat Transfer
- Vol. 81 (1) , 54-58
- https://doi.org/10.1115/1.4008132
Abstract
In 1945, N. W. McLachlan published the equations governing the problem of heat conduction in a long elliptical cylinder, including the solution for the case of a cylinder with a uniform initial temperature, subject to a sudden temperature change at the outer surface of the cylinder. This paper describes the numerical evaluation of McLachlan’s solution by the use of a digital computer and includes a table of the necessary zeros of the modified Mathieu functions. Tables of the temperatures in cylinders with eccentricities of 0.6, 0.7, 0.8, and 0.9 are given.Keywords
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