Multi-dimensional dual-phase-lag heat conduction in cylindrical coordinates: Analytical and numerical solutions

被引：17

作者：

Torabi, Mohsen ^{[1
]}

Zhang, Kaili ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Mech & Biomed Engn, Hong Kong, Hong Kong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2014年 / 78卷

关键词：

Dual-phase-lag; Transient thermal analysis; Heat flux and temperature gradient; relaxation times; Analytical solution; Numerical solution; Time-dependent heating; THERMAL-DAMAGE; LASER; BEHAVIOR; MODEL; SURFACE;

D O I：

10.1016/j.ijheatmasstransfer.2014.07.038

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：960 / 966

页数：7

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