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Study on General Governing Equations of Computational Heat Transfer and Fluid Flow

Published online by Cambridge University Press:  20 August 2015

Wang Li ,
Bo Yu ,
Yi Wang ,
Xin-Ran Wang ,
Qing-Yuan Wang  and
Wen-Quan Tao
Wang Li*
Affiliation:
Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, People's Republic of China
Bo Yu*
Affiliation:
Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, People's Republic of China
Yi Wang*
Affiliation:
Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, People's Republic of China
Xin-Ran Wang*
Affiliation:
Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, People's Republic of China
Qing-Yuan Wang*
Affiliation:
Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, People's Republic of China
Wen-Quan Tao*
Affiliation:
Key Laboratory of Thermal Fluid Science and Engineering of MOE, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China
*
Email address:lw286964103@yahoo.com.cn
Corresponding author.Email address:yubobox@cup.edu.cn
Email address:wy1031@yahoo.com.cn
Email address:wangxinran719@163.com
Email address:qingyuan19871001@126.com
Email address:wqtao@mail.xjtu.edu.cn
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Abstract

The governing equations for heat transfer and fluid flow are often formulated in a general form for the simplification of discretization and programming, which has achieved great success in thermal science and engineering. Based on the analysis of the popular general form of governing equations, we found that energy conservation cannot be guaranteed when specific heat capacity is not constant, which may lead to unreliable results. A new concept of generalized density is put forward, based on which a new general form of governing equations is proposed to guarantee energy conservation. A number of calculation examples have been employed to verify validation and feasibility.

Keywords

76M1280A2068U20SIMPLE algorithmgeneral form of governing equationsconservationgeneralized variablefluid-solid coupling
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 5 , November 2012 , pp. 1482 - 1494
Copyright
Copyright © Global Science Press Limited 2012

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References

[1]Pantanker, S.V., Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, 1980.Google Scholar
[2]Versteeg, H.K., Malalsekera, W., An Introduction to Computational Fluid Dynamics, The Finite Volume Method. Essex: Longman Scientific and Technical, 1995.Google Scholar
[3]Wesseling, P., Principles of Computational Fluid Dynamics, Science Press, Beijing, 2001CrossRefGoogle Scholar
[4]Tao, W.Q., Numerical Heat Transfer, 2nd ed., Xi'an Jiaotong University Press, Xi'an 2002.Google Scholar
[5]Ferziger, J.H., M. Peric, Computational Methods for Fluid Dynamics, Springer, 2002.Google Scholar
[6]Date, A.W., Introduction to Computational Fluid Dynamics, Cambridge: Cambridge University Press, 2005Google Scholar
[7]Lewis, R.W., Nithiarasu, P., Seetharamu, K.N., Fundamentals of the Finite Element Method for Heat and Fluid Flow, John Wiley & Sons,Ltd, 2008Google Scholar
[8]Minkowycz, W.J., Sparrow, E.M., Murthy, J. Y.J., Handbook of Numerical Heat Transfer, Second Edition, John Wiley & Sons, Ltd, 2009Google Scholar
[9]Long, T.Y., Su, Y.X., Xiang, W.Y., He, C., Computational Fluid Dynamics, Chongqing, Chongqing University Press, 2007.Google Scholar
[10]Pantanker, S.V., Recent developments in computational heat transfer, J. Heat Transfer, Vol. 110, No. 4, pp. 1037–1046, 1988.Google Scholar
[11]Bird, R.B., Stewart, W.E., Lightfoot, E.N., Transport Phenomena, John Wiley & Sons, Inc, 2002.Google Scholar
[12]Holman, J.P., Heat Transfer, McGraw-Hill, New York, 2002.Google Scholar
[13]Barakos, G., Mitsoulis, E., Assimacopoulos, D., Natural convection flow in a square cavity, Int. J. Numer. Methods Fluids, Vol. 18, pp. 695–719,1994.Google Scholar
[14]Botella, O., Peyret, R.. Benchmark spectral results on the lid-driven cavity flow, Comput. Fluids, Vol. 27, No. 4, pp. 421–433,1998.Google Scholar
[15]Bruneau, C.H., Saad, M., The 2D lid-driven cavity problem revisited, Comput. Fluids, Vol. 35, pp. 326–348, 2006.Google Scholar
[16]Aydin, O., Aiding and opposing mechanisms of mixed convection in a shear and buoyancy- driven cavity, Int. Commun. Heat Mass Transfer, Vol. 26, pp. 1019–1028,1999.Google Scholar
[17]Oztop, H.F., Dagtekin, I., Mixed convection in two-sided lid-driven differentially heated square cavity, Int. J. Heat Mass Transfer, Vol. 47, pp. 1761–1769,2004.CrossRefGoogle Scholar
[18]Alleborn, N., Raszillier, H., Durst, F., Lid-driven cavity with heat and mass transport, Int. J. Heat Mass Transfer, Vol. 42, pp. 833–853,1999.Google Scholar
[19]Han, P., Chen, X., Discussion on integral solution method for solid-liquid interaction problems, Proceedings of 7th National Symposium on Computational Heat Transfer, Beijing, pp. 32–37,1997.Google Scholar
[20]Qu, Z.G., Tao, W.Q., He, Y.L., Three dimensional numerical simulation on laminar heat transfer and fluid flow characteristics of strip fin surfaces with X-arrangement of strips, J. Heat Transfer, Vol. 126, No. 4, pp. 697–707, 2004.Google Scholar