Diffusion Through Laminated Composite Cylinders Subjected to a Circumferentially Varying External Heat Flux

[+] Author and Article Information
J. D. Lockwood

Components Incorporated, El Paso, Texas

G. P. Mulholland

Department of Mechanical Engineering, New Mexico State University, Las Cruces, N. Mex.

J. Heat Transfer 95(4), 487-491 (Nov 01, 1973) (5 pages) doi:10.1115/1.3450094 History: Received March 23, 1973; Online August 11, 2010


The diffusion equation for the temperature distribution in each of k sections of a hollow laminated composite cylinder with a circumferentially varying external heat flux is solved. The composite consists of k discrete cylinders each of a different material with perfect thermal contact at each of the k-1 interfaces. The cylinders have an arbitrary initial temperature distribution and the temperature on the inside surface of the composite is an arbitrary function of time. The solution is obtained by using a Fourier integral transformation and a dependent variable substitution. This produces a new partial differential equation with homogeneous boundary conditions. This new equation is then solved by using a type of orthogonality relationship developed by Vodicka.

Copyright © 1973 by ASME
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