Transient Heat Conduction in an Infinite Plate With a Transverse Circular Cylindrical Hole

[+] Author and Article Information
C. D. Michalopoulos

Department of Mechanical Engineering, University of Houston, Houston, Texas

J. J. Seco

University of Costa Rica, Costa Rica, Central America

J. Heat Transfer 95(3), 414-416 (Aug 01, 1973) (3 pages) doi:10.1115/1.3450077 History: Received December 11, 1972; Online August 11, 2010


The flow of heat in an infinite plate with a transverse circular cylindrical hole is considered. The boundary conditions are zero temperature on the cylindrical surface and arbitrary but axisymmetric temperature distributions on the plane surfaces. The solution is obtained by means of Laplace and an unconventional Hankel transforms. Numerical results are given in graphical form for a plate with a step temperature distribution on one face and zero temperature on the other.

Copyright © 1973 by ASME
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