Non-Darcy Effects on Conjugate Natural Convection in Saturated Porous Layer Sandwiched by Finite Thickness Walls

K Al-Farhany, A. Turan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Unsteady conjugate natural convective heat transfer in a two-dimensional variable porosity layer sandwiched between two walls has been studied numerically. The Generalization model has been used to solve the governing equations in the saturated porous region. The Boussinesq approximation assumed to be valid. The vertical walls are impermeable and subjected to a horizontal gradient of temperature while the horizontal walls are adiabatic. A finite volume approach has been used to solve the dimensionless governing equations and the pressure velocity coupling is treated with the SIMPLE algorithm. The model has been validated with available experimental, analytical/computational studies. A correlation to evaluate the average Nusselt number has been proposed as a function of Rayleigh number, Darcy number, including a number of physical geometrical and material property ratios.
Original languageEnglish
Title of host publicationProceedings of ICFD 10: Tenth International Congress of Fluid Dynamics
Place of Publicationhttp://www.icfdpegypt.org/ICFD10-Final-Papers/ICFD10-EG-3018.pdf
PublisherICFD10-EG-3018
Publication statusPublished - Dec 2010
EventTenth International Congress of Fluid Dynamics - Stella Di Mare Sea Club Hotel, Ain Soukhna, Red Sea, Egypt
Duration: 16 Dec 201019 Dec 2010

Conference

ConferenceTenth International Congress of Fluid Dynamics
CityStella Di Mare Sea Club Hotel, Ain Soukhna, Red Sea, Egypt
Period16/12/1019/12/10

Keywords

  • natural convection, porous media, non-Darcy, Conjugate and finite volume

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