图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
传热学
影响因子: 0.404 5年影响因子: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN 打印: 1064-2285
ISSN 在线: 2162-6561

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

传热学

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

ABSTRACT

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.


Articles with similar content:

EFFECT OF NONUNIFORM TEMPERATURE GRADIENTS ON THERMOGRAVITATIONAL CONVECTION IN A POROUS LAYER USING A THERMAL NONEQUILIBRIUM MODEL
Journal of Porous Media, Vol.14, 2011, issue 8
Jinho Lee, I. S. Shivakumara, A. L. Mamatha
THERMAL-MECHANICAL COUPLING PROPAGATION AND TRANSIENT THERMAL FRACTURE IN MULTILAYER COATINGS
Heat Transfer Research, Vol.48, 2017, issue 10
Long Zhang, Xiaomin Zhang, Zimin Yan, Yuan Liang, Bo Yan, Qibin Li, Song Peng
LOCAL STABILITY ANALYSIS FOR OPTIMAL PERFORMANCE OF AN ENDOREVERSIBLE CARNOT REFRIGERATOR WITH LINEAR PHENOMENOLOGICAL HEAT TRANSFER LAW
3rd Thermal and Fluids Engineering Conference (TFEC), Vol.21, 2018, issue
Lingen Chen, Xiaohui Wu, Huijun Feng, Shaojun Xia
Mathematical Simulation of T\irbulent Combustion of Ethanol at a Permeable Surface
Heat Transfer Research, Vol.29, 1998, issue 6-8
L. N. Perepechko, E. P. Volchkov, N. A. Dvornikov
UNSTEADY POISEUILLE FLOW OF SECOND-ORDER FLUID IN A TUBE OF ELLIPTICAL CROSS SECTION ON A POROUS BOUNDARY
Special Topics & Reviews in Porous Media: An International Journal, Vol.5, 2014, issue 3
Sanjay Kulkarni