Numerical results

John M. Dixon, Francis A. Kulacki

Research output: Chapter in Book/Report/Conference proceedingChapter


Results of the numerical solution of the mass conservation, DBF, and energy equations are presented. Verification of the solution method is first obtained by reproducing solutions for Rayleigh-Bénard convection, the Horton-Lapwood-Rogers program, and natural convection in fluid-superposed porous layers. For mixed convection in the fluid-superposed porous layer, Nusselt numbers are determined for a wide range of parameter effects: conductivity ratio, thermal dispersion, Prandtl number, Darcy number, and porous layer height ratio. Péclet numbers at which a minimum in the heat transfer coefficient occurs are determined in terms of combinations of these parameters.

Original languageEnglish (US)
Title of host publicationSpringerBriefs in Applied Sciences and Technology
PublisherSpringer- Verlag
Number of pages26
StatePublished - Jan 1 2017

Publication series

NameSpringerBriefs in Applied Sciences and Technology
ISSN (Print)2191-530X
ISSN (Electronic)2191-5318


  • Critical Péclet number
  • Critical porous sublayer height
  • Nusselt number
  • Rayleigh-Darcy number
  • Sublayer critical Rayleigh number
  • Thermal plume


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