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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v7.i1.70
7 pages

Combined Effect of Magnetic Field and Lateral Mass Transfer on Non-Darsy Axisymmetric Free Convection in a Power-Law Fluid Saturated Porous Medium

Mohamed F. El-Amin
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, 81258; King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
M. A. EL-Hakiem
Mathematics Department, Aswan Faculty of Science, South Valley University, Aswan, Egypt
M. A. Mansour
Department of Mathematics, Assuit University, Faculty of Science, Assuit, Egypt

ABSTRACT

In this article, a boundary-layer analysis is presented to study the effect of transverse magnetic field of a non-Newtonian power-law fluid on non-Darcy axisymmetric free convection over a horizontal surface embedded in a porous medium in the presence of surface transpiration (lateral mass flux). The Ostwald-de Waele power-law model is used to characterize the non-Newtonian fluid behavior. Similarity solutions are obtained when the surface temperature varies as the square root of the radial distance or when heat flux is constant. The effects of the magnetic and non-Darcy parameters as well as the power-law index n and mass flux parameter on the velocity, temperature, and the boundary-layer thickness are shown on graphs. The numerical values of the rate of heat transfer through the boundary layer in terms of the Nusselt number are entered in a table.


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