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

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

  1. 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

  2. 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

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

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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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Keywords

  • bi-dispersed medium
  • two-velocity
  • two-temperature
  • forced convection
  • channel