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Some Pitfalls in the Modelling of Convective Flows in Porous Media

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Abstract

Some modelling deficiencies in various recent papers, on convective flows in porous media, are pointed out and discussed. These deficiencies are related to the Forchheimer coefficient, mixed double-diffusive convection, magnetohydrodynamic mixed convection, convection in a rarefied gas, and geophysical phenomena.

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References

  • Beckermann, C. and Viskanta, R.: 1988, Double-diffusive convection during dendritic solidification of a binary mixture, PCH PhysicoChem. Hydrodyn. 10, 195-213.

    Google Scholar 

  • Bejan, A.: 1984, Convective Heat Transfer, Wiley, New York.

    Google Scholar 

  • Bergman, M. I. and Fearn, D. R.: 1994, Chimneys on the earth's inner-outer core boundary?, Geophys. Res. Lett. 21, 477-480.

    Google Scholar 

  • Ergun, S.: 1952, Fluid flow through packed columns, Chem. Engng Progress 48, 89-94.

    Google Scholar 

  • Joseph, D. D., Nield, D. A. and Papanicolaou, G.: 1982, Nonlinear equation governing flow in a saturated porous medium, Water Resour. Res. 18, 1049-1052.

    Google Scholar 

  • Nield, D. A.: 1999a, Modeling the effects of a magnetic field or rotation on flow in a porous medium: momentum equation and anisotropic permeability analogy, Int. J. Heat Mass Transfer 42, 3715-3718.

    Google Scholar 

  • Nield, D. A.: 1999b, Modelling viscous dissipation and nonlinear drag in a porous medium, Transport in Porous Media, in press.

  • Nield, D. A. and Bejan, A.: 1999, Convection in Porous Media, 2nd edition, Springer-Verlag, New York (1st edition, 1992).

    Google Scholar 

  • Parthiban, C. and Patil, P. R.: 1996, Convection in a porous medium with velocity slip and temperature jump boundary conditions, Heat Mass Transfer (Wärme) 32, 7-31.

    Google Scholar 

  • Slimi, K., Ben Nasrallah, S. and Fohr, J.-P.: 1998, Transient natural convection in a vertical cylinder opened at the extremities and filled with a fluid saturated porous medium: validity of Darcy flow model and thermal boundary layer approximations, Int. J. Heat Mass Transfer 41, 1113-1125.

    Google Scholar 

  • Takhar, H. S. and Beg, O. A.: 1997, Effects of transverse magnetic field, Prandtl number and Reynolds number on non-Darcy mixed convective flow of an incompressible viscous fluid past a porous vertical flat plate in a saturated porous medium, Int. J. Energy Res. 21, 78-100.

    Google Scholar 

  • Ward, J. C.: 1964, Turbulent flow in porous media, J. Hydraulics Div., Proc. ASCE 90(HY5), 1-12.

    Google Scholar 

  • Wilkes, K. E.: 1995, Onset of natural convection in a horizontal porous medium with mixed thermal boundary conditions, ASME J. Heat Transfer 117, 543-547.

    Google Scholar 

  • Yih, K. A.: 1998, Coupled heat and mass transfer in mixed convection over a wedge with variable wall temperature and concentration: the entire regime, Int. Comm. Heat Mass Transfer 25, 1145-1158.

    Google Scholar 

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Authors and Affiliations

  1. Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland, New Zealand

    D. A. Nield

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  1. D. A. Nield
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Nield, D.A. Some Pitfalls in the Modelling of Convective Flows in Porous Media. Transport in Porous Media 43, 597–601 (2001). https://doi.org/10.1023/A:1010741519401

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