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Heat Transfer Research
Импакт фактор: 1.199 5-летний Импакт фактор: 1.155 SJR: 0.267 SNIP: 0.503 CiteScore™: 1.4

ISSN Печать: 1064-2285
ISSN Онлайн: 2162-6561

Выпуски:
Том 51, 2020 Том 50, 2019 Том 49, 2018 Том 48, 2017 Том 47, 2016 Том 46, 2015 Том 45, 2014 Том 44, 2013 Том 43, 2012 Том 42, 2011 Том 41, 2010 Том 40, 2009 Том 39, 2008 Том 38, 2007 Том 37, 2006 Том 36, 2005 Том 35, 2004 Том 34, 2003 Том 33, 2002 Том 32, 2001 Том 31, 2000 Том 30, 1999 Том 29, 1998 Том 28, 1997

Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018015988
pages 275-285

VARIATIONAL EQUATION OF NON-FOURIER HEAT CONDUCTION

Xiaomin Zhang
Department of Engineering Mechanics, Chongqing University, Chongqing, 400044, P.R.China
Song Peng
Department of Engineering Mechanics, Chongqing University, Chongqing, 400044, P.R.China
Long Zhang
Department of Engineering Mechanics, Chongqing University, Chongqing, 400044, P.R.China; Department of Theoretical and Applied Mechanics, Chongqing University of Science and Technology, Chongqing, 401331, P.R.China
Zimin Yan
Department of Engineering Mechanics, Chongqing University, Chongqing, 400044, P.R.China
Yuan Liang
School of Foreign Language, Chongqing University of Science and Technology, Chongqing, 401331, P.R.China
Bo Yan
Department of Engineering Mechanics, Chongqing University, Chongqing, 400044, P.R.China

Краткое описание

The variational equation containing the finite relaxation time was deduced by promoting Biot's variational equation for non-Fourier heat conduction in the finite relaxation model as well as for non-Fourier media in the Cattaneo−Vernotte (CV) model. In addition, the form in the generalized coordinates and the expression with the potential function corresponding to the variational equation were obtained. The employed variational equation and the heat-affected zone in the semi-infinite space under the influence of a step thermal pulse were investigated. A comparison of the relationships of heat distribution and time between the Fourier and non-Fourier models indicates that the propagation velocity is underestimated in the Fourier law under the condition of ultrashort duration. The relationships between the heat-affected zone and the relaxation time, relaxation zone, and duration were discussed as well as the expression of the bounded temperature gradient was obtained.


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