An Effective Equation Governing Convective Transport in Porous Media

J. G. Georgians, I. Catton

Research output: Contribution to journalArticlepeer-review


The fine structure of disordered porous media (e. g. , fully saturated randomly packed beds) causes microscopic velocity fluctuations. The effect of the spatial and temporal randomness of the interstitial velocity field on the convective transport of a scalar (heat or mass) is investigated analytically. For a uniform mean velocity profile, the effective heat transport equation is obtained as the equation governing the transport of the ensemble average of the scalar under conditions of steady or unsteady random fields (with given statistics). In both cases, it is shown that the effective transport coefficient is enhanced by a hydrodynamic dispersive component, which is an explicit function of the mean filtration velocity. The agreement with experiments is encouraging.

Original languageEnglish (US)
Pages (from-to)635-641
Number of pages7
JournalJournal of Heat Transfer
Issue number3
StatePublished - Aug 1988
Externally publishedYes


  • Geophysical heat transfer
  • Natural convection
  • Porous media

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Materials Science


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