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

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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.

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Authors and Affiliations

  1. School of Physics Science and Technology, Soochow University, Suzhou, 215006, China

    Qi Wei & Xiaohui Zhang

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  1. Qi Wei
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  2. Xiaohui Zhang
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Correspondence to Qi Wei.

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Wei, Q., Zhang, X. An autonomous system for thermal convection of viscoelastic fluids in a porous layer using a thermal nonequilibrium model. Front. Energy Power Eng. China 4, 507–516 (2010). https://doi.org/10.1007/s11708-010-0017-x

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

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