Hydromagnetic Convection Flow in a Porous Medium Bounded Between Vertical Wavy Wall and Parallel Flat Wall: Analysis Using Darcy-Brinkman-Forchheimer Model

被引:0
|
作者
Singh, R. R. [1 ]
Singh, Ajay Kumar [1 ]
Singh, Usha [1 ]
Singh, Atul Kumar [2 ]
Singh, N. P. [3 ]
机构
[1] CL Jain Coll, Dept Math, Firozabad 283203, India
[2] VSSD Coll, Dept Math, Kanpur 208002, Uttar Pradesh, India
[3] Rama Inst Engn & Technol, Dept Math, Kanpur 209217, Uttar Pradesh, India
基金
中国国家自然科学基金;
关键词
Hydromagnetic convection flow; Porous medium; Vertical wavy walls; NATURAL-CONVECTION; HEAT-TRANSFER; FLUID; DERIVATION; CHANNEL; LAW; VERIFICATION; VISCOSITY; EQUATION; SURFACE;
D O I
10.1007/s40010-014-0153-5
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The present paper deals with two-dimensional convection flow and heat transfer of a viscous, incompressible, conducting fluid, through porous medium confined in a vertical wavy wall and parallel flat wall under the influence of transverse magnetic field. The non-linear equations governing the flow are solved by linearization technique under the assumption that the flow consists of two parts; a mean part and a perturbed part. Darcy-Brinkman-Forchheimer model is used to visualize the problem. Exact solutions are obtained for the mean part and the perturbed part is solved using long wave approximation method. The effects of various parameters, zeroth order and total axial velocity fields, transverse velocity, temperature distribution, shear stress and heat transfer rate are presented graphically and discussed.
引用
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页码:409 / 431
页数:23
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