Abstract
Abstract This work investigates the temperature distribution for the case of cylindrical geometry subjected to heat flux boundary condition on one of the bases and constant temperature on other boundary conditions considering dual-phase-lag (DPL) model of heat conduction. Two types of heat flux were considered: a continuously operating and exponential pulsed. Both exact analytical and numerical solutions were applied. For the analytical one, the separation of variables analytical method together with Duhamel’s theorem was employed. However, implicit finite difference method was used for the numerical technique. The DPL model of heat conduction renders the hyperbolic nature for heat transport, which is based on one correction made to the Cattaneo–Vernotte model of heat transfer. After comparing the results from both methods and confirmation regarding the validation of analytical solution, the effects of temperature gradient lags on the temperature distribution were analyzed.
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