Effect of Non-Uniform Temperature Gradient on the Onset of Rayleigh-Bénard Electro Convection in a Micropolar Fluid

• 作者: Riya Baby Subbarama Pranesh
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: MICROPOLAR Fluid RAYLEIGH Number ELECTRO CONVECTION NON-UNIFORM Temperature Gradients GALERKIN Technique
• 年，卷（期）: 2012,（5）
• 页码范围: 442-450
• 页数: 9页
• 分类号: O1

摘要

The effects of electric field and non-uniform basic temperature gradient on the onset of Rayleigh-Bénard convection in a micropolar fluid are studied using the Galerkin technique. The eigenvalues are obtained for free-free, rigid-free and rigid-rigid velocity boundary combinations and for isothermal and/or adiabatic temperature boundaries. The microrotation is assumed to vanish at the boundaries. A linear stability analysis is performed. The influence of various micropolar fluid parameters and electric Rayleigh number on the onset of convection has been analyzed. One linear and five non-uniform temperature profiles are considered and their comparative influence on onset is discussed.