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A Two-Velocity Two-Temperature Model for a Bi-Dispersed Porous Medium: Forced Convection in a Channel

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Abstract

A two-velocity two-temperature model for bi-dispersed porous media is formulated. Using the model, an analytic solution is obtained for the problem of forced convection in a channel between parallel plane walls that are held either at uniform temperature or uniform heat flux. In each case, Nusselt number values are given as functions of a conductivity ratio, a velocity ratio, a volume fraction, and an internal heat exchange parameter.

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References

  • Z. Q. Chen P. Cheng C. T. Hsu (2000) ArticleTitleA theoretical and experimental study on stagnant thermal conductivity of bi-dispersed porous media Int Commun. Heat Mass Transfer 27 601–610

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  • 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 1 181–187 Occurrence Handle1:CAS:528:DyaK1cXitlOku7k%3D

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Authors and Affiliations

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

    D. A. Nield

  2. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC, 27695-7910, U.S.A

    A. V. Kuznetsov

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  1. D. A. Nield
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  2. A. V. Kuznetsov
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Correspondence to D. A. Nield.

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Nield, D.A., Kuznetsov, A.V. A Two-Velocity Two-Temperature Model for a Bi-Dispersed Porous Medium: Forced Convection in a Channel. Transp Porous Med 59, 325–339 (2005). https://doi.org/10.1007/s11242-004-1685-y

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  • DOI: https://doi.org/10.1007/s11242-004-1685-y

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