Frontiers in Energy >

2010 , Vol. 4 >Issue 4: 507 - 516

DOI: https://doi.org/10.1007/s11708-010-0017-x

RESEARCH ARTICLE

An autonomous system for thermal convection of viscoelastic fluids in a porous layer using a thermal nonequilibrium model

  • Qi WEI ,
  • Xiaohui ZHANG
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  • School of Physics Science and Technology, Soochow University, Suzhou 215006, China

Received date: 27 Mar 2009

Accepted date: 29 Aug 2009

Published date: 05 Dec 2010

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Thermal convection of viscoelastic fluids saturating a horizontal porous layer heated from below is analyzed using a thermal nonequilibrium model to take account of the interphase heat transfer between the fluid and the solid. The viscoelastic character of the flow is considered by a modified Darcy’s law. An autonomous system with five differential equations is deduced by applying the truncated Galerkin expansion to the momentum and heat transfer equations. The effects of interphase heat transfer H on the thermal convection of viscoelastic fluids in a porous medium are analyzed and discussed. The results show that the weak interphase heat transfer tends to stabilize the steady convection.

Key words： thermal convection; porous media; viscoelastic fluid; thermal nonequilibrium model

Cite this article

Qi WEI , Xiaohui ZHANG . An autonomous system for thermal convection of viscoelastic fluids in a porous layer using a thermal nonequilibrium model[J]. Frontiers in Energy, 2010 , 4(4) : 507 -516 . DOI: 10.1007/s11708-010-0017-x

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 50576061).

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