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Explicit Conditions for Local Thermal Equilibrium in Porous Media Heat Conduction

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Abstract

Based on the traditional formulation of heat transfer in porous media it is demonstrated that Local Thermal Equilibrium (Lotheq) applies generally for any boundary conditions that are a combination of constant temperature and insulation. The resulting consequences are being analysed and discussed. Among these consequences it is shown that the linear relationship between the average temperature difference of the two phases and the heat transferred over the fluid-solid interface is inappropriate for use in connection with conditions of Lack of Local Thermal Equilibrium (La Lotheq).

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References

  • B. Alazmi K. Vafai (2002) ArticleTitleConstant wall heat flux boundary conditions in porous media under local thermal non-equilibrium conditions Int. J. Heat Mass Transfer 45 3071–3087

    Google Scholar 

  • N. Banu D.A.S. Rees (2002) ArticleTitleOnset of Darcy–Benard convection using a thermal non-equilibrium model Int J. Heat Mass Transfer 45 2221–2238

    Google Scholar 

  • A. C. Baytas I. Pop (2002) ArticleTitleFree convection in a square porous cavity using a thermal nonequilibrium model Int. J. Thermal Sci 41 861–870

    Google Scholar 

  • S. J. Kim S. P. Jang (2002) ArticleTitleEffects of Darcy number, the Prandtl number, and the Reynolds number on local thermal non-equilibrium Int. J. Heat Mass Transfer 45 3885–3896

    Google Scholar 

  • W. J. Minkowycz A. Haji-Shiekh K. Vafai (1999) ArticleTitleOn departure from local thermal equilibrium in porous media due to a rapidly changing heat source: the Sparrow number, Int J. Heat Mass Transfer 42 3373–3385

    Google Scholar 

  • D. A. Nield (1998) ArticleTitleEffects of local thermal nonequilibrium in steady convective processes in a saturated porous, medium: forced convection in a channel J. Porous Media 1 181–186

    Google Scholar 

  • D. A. Nield (2002) ArticleTitleA note on the modeling of local thermal non-equilibrium in a structured porous medium Int. J. Heat Mass Transfer 45 4367–4368

    Google Scholar 

  • D.A. Nield A. Bejan (1999) Convection in Porous Media EditionNumber2 Springer-Verlag New York

    Google Scholar 

  • D. A. Nield A. V. Kuzentsov M. Xiong (2002) ArticleTitleEffect of local thermal non-equilibrium on thermally developing forced convection in a porous medium’‘ Int. J. Heat Mass Transfer 45 4949–4955

    Google Scholar 

  • D. A. S. Rees (2002) ArticleTitleVertical free convective boundary-layer flow in a porous medium using a thermal nonequilibrium model: elliptical effects Zeitchrift fur angewandte Mathematik und Physik ZAMP 53 1–12

    Google Scholar 

  • D.Y. Tzou (1995) ArticleTitleA unified field approach for heat conduction from macro-to-micro-scales ASME J Heat Transfer 117 8–16

    Google Scholar 

  • D.Y. Tzou (1997) Macro-to-Microscale Heat Transfer; The Lagging Behavior Taylor Francis Washington, DC

    Google Scholar 

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Correspondence to Peter Vadasz.

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Vadasz, P. Explicit Conditions for Local Thermal Equilibrium in Porous Media Heat Conduction. Transp Porous Med 59, 341–355 (2005). https://doi.org/10.1007/s11242-004-1801-z

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  • DOI: https://doi.org/10.1007/s11242-004-1801-z

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