Heat conduction in an elliptical cylinder

1969 ◽  
Vol 17 (6) ◽  
pp. 1535-1540
Author(s):  
M. G. Kogan
1959 ◽  
Vol 81 (1) ◽  
pp. 54-58 ◽  
Author(s):  
E. T. Kirkpatrick ◽  
W. F. Stokey

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.


1881 ◽  
Vol 11 (270supp) ◽  
pp. 4307-4307
Author(s):  
William Crookes
Keyword(s):  

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