An Integral Equation for the Dual-Lag Model of Heat Transfer-Reference-Cited by-同舟云学术

An Integral Equation for the Dual-Lag Model of Heat Transfer

Published:2004-10-01 Issue:5 Volume:126 Page:805-808
ISSN:0022-1481
Container-title:Journal of Heat Transfer
language:en
Short-container-title:

Author:

Kulish Vladimir V.¹,Novozhilov Vasily B.²

Affiliation:

1. School of Mechanical & Production Engineering, Nanyang Technological University, 50 Nanyang Ave., Singapore 639798

2. Faculty of Engineering, University of Ulster, Shore Rd., Newtownabbey, Co. Antrim, BT37 0QB, United Kingdom

Abstract

An integral relation is obtained between local temperature and local temperature gradient for the dual-lag model of heat transport, which substitutes classical Fourier law at short time scales. Both the heat flux lag and the temperature gradient lag are considered, however, it is shown that only difference between the two affects temperature profile. Being applied at exposed surface of material, the integral equation predicts surface temperature variation for any form of imposed heat flux. The solution is tested considering solid heating by a picosecond laser impulse. Results are compared with the classical solution of the parabolic heat transfer equation and available experimental data.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Link

http://asmedigitalcollection.asme.org/heattransfer/article-pdf/126/5/805/5913227/805_1.pdf

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3. Kulish, V. V., Lage, J. L., Komarov, P. L., and Raad, P. E., 2001, “Fractional-Diffusion Theory for Calculating Thermal Properties of Thin Films From Surface Transient Thermoreflectance Measurements,” ASME J. Heat Transfer, 123(6), pp. 1133–1138.

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