Influence of Magnetic Field, Viscous Dissipation and Thermophoresis on Darcy-Forcheimer Mixed Convection Flow in Fluid Saturated Porous Media

• 作者: Adeyemi Isaiah Fagbade Bidemi Olumide Falodun Chika Uchechukwu Boneze
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 物理学
• 关键词: Darcy-Forcheimer Porous Medium Magnetic Effect Chemical Reaction THERMOPHORESIS Spectral HOMOTOPY Analysis Method (SHAM)
• 年，卷（期）: 2015,（1）
• 页码范围: 18-40
• 页数: 23页
• 分类号: O3

摘要

This paper presents an application of the spectral homotopy analysis method (SHAM) to solve a problem of darcy-forcheimer mixed convection flow in a porous medium in the presence of magnetic field, viscous dissipation and thermopherisis. A mathematical model governed the flow is analyzed in order to study the effects of chemical reaction, magnetic field, viscous dissipation and thermophoresis on mixed convection boundary layer flow of an incompressible, electrically conducting fluid past a heated vertical permeable flat plate embedded in a uniform porous medium. The similarity variable is used to transform the governing equations into a boundary valued problem of coupled ordinary differential equations which are then solved using spectral homotopy Analysis Method. The spatial domains are discretized using Chebyshev-Gauss-Lobatto points and numerical computations are carried out for the non-dimensional physical parameters. A parametric study of selected parameters is conducted and the results for the velocity, temperature and concentration are illustrated graphically and physical aspects of the problem are discussed.