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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 34, 1998 - Issue 2
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Original Articles

FINITE-DIFFERENCE SOLUTION OF HYPERBOLIC HEAT CONDUCTION WITH TEMPERATURE-DEPENDENT PROPERTIES

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Pages 169-183 | Received 19 Nov 1997, Accepted 17 Mar 1998, Published online: 15 Mar 2007
 

Abstract

A numerical evaluation of the temperature field in an infinite solid medium that surrounds a cylindrical surface is presented. An unsteady and uniform heat flux density is prescribed at the cylindrical surface, and Cattaneo-Vernotte's constitutive equation for the heat flux density is supposed to hold. The hyperbolic differential problem is solved by MacCormack's predictor-corrector method by assuming that both the thermal conductivity and the specific heat are temperature-dependent. Then, the results of the numerical evaluation are compared with the analytical solution that is available in the literature for the special case of constant thermophysical properties.

Notes

Address correspondence to Prof. Antonio Barletta, Dipartimento di lngegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA(, Universita di Bologna, Viale Risorgimento 2, 1-40136 Bologna, Italy. E-mail: [email protected]

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