Non-Darcy Free Convection of Power-Law Fluids Over a Two-Dimensional Body Embedded in a Porous Medium

Mohamed El-Amin; Shuyu Sun; M. A. El-Ameen; Y. A. Jaha; Rama Subba Reddy Gorla

doi:10.1007/s11242-010-9667-8

Non-Darcy Free Convection of Power-Law Fluids Over a Two-Dimensional Body Embedded in a Porous Medium

Mohamed El-Amin, Shuyu Sun, M. A. El-Ameen, Y. A. Jaha, Rama Subba Reddy Gorla

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7 Scopus citations

Abstract

A boundary layer analysis was presented to study the non-Darcy-free convection of a power-law fluid over a non-isothermal two-dimensional body embedded in a porous medium. The Ostwald-de Waele power-law model was used to characterize the non-Newtonian fluid behavior. Similarity solutions were obtained with variations in surface temperature or surface heat flux. In view of the fact that most of the non-Newtonian fluids have large Prandtl numbers, this study was directed toward such fluids. The effects of the porous medium parameters, k1 and k2, body shape parameter, m, and surface thermal variations parameter, p, as well as the power-law index, n, were examined. © 2010 Springer Science+Business Media B.V.

Original language	English (US)
Pages (from-to)	965-972
Number of pages	8
Journal	Transport in Porous Media
Volume	86
Issue number	3
DOIs	https://doi.org/10.1007/s11242-010-9667-8
State	Published - Nov 27 2010

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KAUST Repository Item: Exported on 2020-10-01

ASJC Scopus subject areas

General Chemical Engineering
Catalysis

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10.1007/s11242-010-9667-8

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title = "Non-Darcy Free Convection of Power-Law Fluids Over a Two-Dimensional Body Embedded in a Porous Medium",

abstract = "A boundary layer analysis was presented to study the non-Darcy-free convection of a power-law fluid over a non-isothermal two-dimensional body embedded in a porous medium. The Ostwald-de Waele power-law model was used to characterize the non-Newtonian fluid behavior. Similarity solutions were obtained with variations in surface temperature or surface heat flux. In view of the fact that most of the non-Newtonian fluids have large Prandtl numbers, this study was directed toward such fluids. The effects of the porous medium parameters, k1 and k2, body shape parameter, m, and surface thermal variations parameter, p, as well as the power-law index, n, were examined. {\textcopyright} 2010 Springer Science+Business Media B.V.",

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AU - Jaha, Y. A.

AU - Gorla, Rama Subba Reddy

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AB - A boundary layer analysis was presented to study the non-Darcy-free convection of a power-law fluid over a non-isothermal two-dimensional body embedded in a porous medium. The Ostwald-de Waele power-law model was used to characterize the non-Newtonian fluid behavior. Similarity solutions were obtained with variations in surface temperature or surface heat flux. In view of the fact that most of the non-Newtonian fluids have large Prandtl numbers, this study was directed toward such fluids. The effects of the porous medium parameters, k1 and k2, body shape parameter, m, and surface thermal variations parameter, p, as well as the power-law index, n, were examined. © 2010 Springer Science+Business Media B.V.

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Non-Darcy Free Convection of Power-Law Fluids Over a Two-Dimensional Body Embedded in a Porous Medium

Abstract

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