The non-stationary heat conduction in an infinitely long solid cylinder with a time-dependent boundary heat flux is studied for a material with a non-vanishing thermal relaxation time. An analytical solution of the hyperbolic energy equation together with its boundary and initial conditions is obtained by the Laplace transform method. The temperature distribution and the heat flux density distribution are studied both for a constant boundary heat flux and for an exponentially decaying boundary heat flux. The compatibility of these distributions with the local equilibrium hypothesis is analysed. © 1997 Elsevier Science Ltd.
Barletta A., Pulvirenti B. (1998). Hyperbolic thermal waves in a solid cylinder with a non-stationary boundary heat flux. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 41(1), 107-116 [10.1016/S0017-9310(97)00098-7].
Hyperbolic thermal waves in a solid cylinder with a non-stationary boundary heat flux
Barletta A.;Pulvirenti B.
1998
Abstract
The non-stationary heat conduction in an infinitely long solid cylinder with a time-dependent boundary heat flux is studied for a material with a non-vanishing thermal relaxation time. An analytical solution of the hyperbolic energy equation together with its boundary and initial conditions is obtained by the Laplace transform method. The temperature distribution and the heat flux density distribution are studied both for a constant boundary heat flux and for an exponentially decaying boundary heat flux. The compatibility of these distributions with the local equilibrium hypothesis is analysed. © 1997 Elsevier Science Ltd.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
