THREE-PHASE-LAG HEAT CONDUCTION IN A FUNCTIONALLY GRADED HOLLOW CYLINDER-Reference-Cited by-同舟云学术

THREE-PHASE-LAG HEAT CONDUCTION IN A FUNCTIONALLY GRADED HOLLOW CYLINDER

Published:2014-03 Issue:1 Volume:38 Page:155-171
ISSN:0315-8977
Container-title:Transactions of the Canadian Society for Mechanical Engineering
language:en
Short-container-title:Transactions of the Canadian Society for Mechanical Engineering

Author:

Akbarzadeh Abdolhamid¹²,Fu Jiawei²³,Chen Zengtao²

Affiliation:

1. Department of Mechanical Engineering, McGill University, Montreal, QC, H3A 0C3, Canada

2. Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada

3. Department of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, P.R. China

Abstract

Heat conduction in a functionally graded, infinitely-long hollow cylinder is studied based on the three-phase-lag model. Material properties except the phase-lags vary according to a power-law within the cylinder. The phase-lag heat conduction equation is written in a form in which various models of heat conduction theories can be generated. The governing differential equations in the Laplace domain are solved exactly and a numerical Laplace inversion technique is employed for restoring results in the time domain. The effects of different heat conduction theories, phase-lags, geometries, and non-homogeneity indices are studied on the spatial distribution and time-history of temperature.

Publisher

Canadian Science Publishing

Subject

Mechanical Engineering

Link

http://www.nrcresearchpress.com/doi/pdf/10.1139/tcsme-2014-0010

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