TY - JOUR
T1 - Combined effect of thermal dispersion and variable viscosity of non-darcy convection heat transfer in a fluidsaturated porous medium
AU - El-Amin, Mohamed
AU - Salama, Amgad
AU - El-Amin, Ammaarah A.
AU - Gorla, Rama Subba Reddy
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2013
Y1 - 2013
N2 - In this paper, the effects of thermal dispersion and variable viscosity on the non-Darcy free, mixed, and forced convection heat transfer along a vertical flat plate embedded in a fluid-saturated porous medium are investigated. Forchheimer extension is employed in the flow equation to express the non-Darcy model. The fluid viscosity varies as an inverse linear function of temperature. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. Similarity solutions of the governing equations, for an isothermally heated plate, are obtained. Effects of the physical parameters, which govern the problem, on the rate of heat transfer in terms of Nusselt number, the slip velocity, and the boundary layer thickness, for the two cases Darcy and non-Darcy, are shown on graphs or entered in tables. © 2013 by Begell House, Inc.
AB - In this paper, the effects of thermal dispersion and variable viscosity on the non-Darcy free, mixed, and forced convection heat transfer along a vertical flat plate embedded in a fluid-saturated porous medium are investigated. Forchheimer extension is employed in the flow equation to express the non-Darcy model. The fluid viscosity varies as an inverse linear function of temperature. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. Similarity solutions of the governing equations, for an isothermally heated plate, are obtained. Effects of the physical parameters, which govern the problem, on the rate of heat transfer in terms of Nusselt number, the slip velocity, and the boundary layer thickness, for the two cases Darcy and non-Darcy, are shown on graphs or entered in tables. © 2013 by Begell House, Inc.
UR - http://hdl.handle.net/10754/562497
UR - http://www.dl.begellhouse.com/journals/49dcde6d4c0809db,38123d330ed01519,1324652e665d82ac.html
UR - http://www.scopus.com/inward/record.url?scp=84877648460&partnerID=8YFLogxK
U2 - 10.1615/JPorMedia.v16.i5.70
DO - 10.1615/JPorMedia.v16.i5.70
M3 - Article
SN - 1091-028X
VL - 16
SP - 471
EP - 482
JO - Journal of Porous Media
JF - Journal of Porous Media
IS - 5
ER -