Mixed convection in horizontal porous layers heated from below

V. Prasad, F. C. Lai, F. A. Kulacki

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Abstract

Numerical studies are reported for steady, mixed convection in two-dimensional horizontal porous layers with localized heating from below. The interaction mechanism between the forced flow and the buoyant effects is examined for wide ranges of Rayleigh number Ra* and Peclet number Pe*. The external flow significantly perturbs the buoyancy-induced temperature and flow fields when Pe* is increased beyond unity. For a fixed Peclet number, an increase in Rayleigh number produces multicellular recirculating flows in a domain close to the heat source. This enhances heat transfer by free convection. However, for a fixed Ra*, an increase in forced flow or Peclet number does not necessarily increase the heat transfer rate. Hence, there exists a critical Peclet number as a function of Ra* for which the overall Nusselt number is minimum. The heat transfer is, generally, dominated by the buoyant flows for Pe* < 1 whereas the contribution of free convection is small for Pe* > 10 when Ra* ≤ 10.

Original languageEnglish (US)
Pages (from-to)395-402
Number of pages8
JournalJournal of Heat Transfer
Volume110
Issue number2
DOIs
StatePublished - May 1988

Keywords

  • Mixed convection
  • Porous media

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