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ISSN Online: 2377-424X

ISBN Print: 0-89116-559-2

International Heat Transfer Conference 8
August, 17-22, 1986, San Francisco, USA

TRANSIENT RESPONSE OF A COMPOSITE HOLLOW CYLINDER HEATED BY A MOVING LINE SOURCE WITH HYPERBOLIC HEAT CONDUCTION EQUATION

Get access (open in a dialog) DOI: 10.1615/IHTC8.260
pages 621-626

要約

In this paper, the hyperbolic heat conduction equation is utilized to investigate the transient response of a finite composite hollow cylinder. The cylinder is composed of two different materials, heated by a moving line source on its inner boundary and cooled convectively on the exterior surface. The heat source is also assumed to be axisymmetriс, moving along axis of the hollow cylinder with constant velocity, and decaying with time exponentially. To solve this initial and boundary value problem, the Laplace transformation and eigenfunction expansion methods are used in the analysis. Finally, the Fourier series technique is utilized to solve the inverse transform. It is shown that the relaxation time and thermal conductivity ratio of the material play very important role on the transient heat transfer problem. Comparisons were made between the results of wave and Fourier equations. The results are also presented graphically.