期刊
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
卷 50, 期 2, 页码 160-168出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.ijthermalsci.2010.10.003
关键词
Ferrofluid; Porous layer; Internal heat generation; Galerkin technique; Viscosity ratio
The effect of internal heat generation on the criterion for the onset of convection in a horizontal ferrofluid saturated porous layer in the presence of a uniform magnetic field is studied using the Brinkman-Lapwood extended Darcy flow model with fluid viscosity different from effective viscosity. The lower boundary is taken to be rigid isothermal and the upper surface is free and subject to the general thermal condition. The resulting eigenvalue problem is solved numerically using the Galerkin method with the Rayleigh number as the eigenvalue. The stability of the system is found to be dependent on the dimensionless internal heat source strength N-s, Darcy number Da, viscosity ratio Lambda, Biot number Bi, magnetic Rayleigh number, R-m and the nonlinearity of fluid magnetization parameter M-3. The effect of increase in the value of R-m, N-s and M-3 is to hasten, while increase in the value of Bi, Lambda and Da(-1) is to delay the onset of thermo-magnetic convection in a ferrofluid saturated porous layer. Further, increase in the value of Bi, Da(-1) and N-s as well as decrease in Lambda, R-m and M-3 is to diminish the dimension of convection cells. (C) 2010 Elsevier Masson SAS. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据