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.
Pulvirenti, B., Barletta, A., Zanchini, E. (2006). Finite-difference solution of hyperbolic heat conduction with temperature-dependent properties. NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 34(2), 169-183.
Finite-difference solution of hyperbolic heat conduction with temperature-dependent properties
PULVIRENTI, BEATRICE;BARLETTA, ANTONIO;ZANCHINI, ENZO
2006
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
