Paper Info
Title
Comparing The Dual Phase Lag, Cattaneo-Vernotte And Fourier Heat Conduction Models Using Modal Analysis
Abstract
yThis paper deals with phase lag (or time-lagged) heat conduction models: the Cattaneo-Vernotte (or thermal wave) model and the dual phase lag model. The main aim is to show that modal analysis of these second order partial differential equations provides a valid and effective approach for analysing and comparing the models. It is known that reliable values for the phase lags of the heat flux and the temperature gradient are not readily available. The modal solutions are used to determine a range of realistic values for these lag times. Furthermore, it is shown that using partial sums of the series solutions for calculating approximate solutions is an efficient procedure. These approximate solutions converge in terms of a so-called energy norm which is stronger than the maximum norm. A model problem where a single heat pulse is applied to a specimen, is used for comparing these models with the Fourier (or parabolic) heat conduction model. (C) 2020 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.amc.2020.125934
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Hyperbolic heat conduction, Dual phase lag model, Cattaneo-Vernotte model, Modal analysis, Heat pulse problem
Journal
396
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
A. J. van der Merwe100.34
N. F. Janse van Rensburg200.34
R. H. Sieberhagen300.34