Influence of Non-linear Thermal Radiation on MHD Double-Diffusive Convection Heat and Mass Transfer of a Non-Newtonian Fluid in a Porous Medium

被引:0
作者
Pal D. [1 ]
Das B.C. [2 ]
Vajravelu K. [3 ,4 ]
机构
[1] Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan, 731 235, West Bengal
[2] Department of Mathematics, Panchra High School (XII), Birbhum, 731133, West Bengal
[3] Department of Mathematics, University of Central Florida, Orlando, 32816, FL
[4] Department of Mechanical, Material and Aerospace Engineering, University of Central Florida, Orlando, 32816, FL
关键词
Double diffusive convection; Magnetohydrodynamics; Micropolar fluid; Stretching sheet; Thermal radiation;
D O I
10.1007/s40819-016-0281-5
中图分类号
学科分类号
摘要
The present paper deals with the problem of steady, magnetohydrodynamic laminar double-diffusive convection heat and mass transfer of a micropolar fluid over a vertical permeable semi-infinite plate embedded in a uniform porous medium in the presence of non-linear thermal radiation. In addition, the present model allows the influence of heat generation/absorption and first-order chemical reaction. The governing equations are solved efficiently by Runge–Kutta–Fehlberg method with shooting technique. The effects of thermal buoyancy ratio, Schmidt number, chemical reaction parameter, heat generation/absorption and surface suction/injection on the fluid velocity, microrotation, temperature and solute concentration are analyzed. It is found that increase in the inverse Darcy number results in decrease in the velocity and microrotation distributions whereas reverse effects are seen on the temperature and concentration distributions. Also, it is observed that with increase in the magnetic parameter there is decrease in the velocity and microrotation gradient whereas reverse effects are noticed on the temperature and concentration distributions. © 2016, Springer India Pvt. Ltd.
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页码:3105 / 3129
页数:24
相关论文
共 46 条
[1]  
Bejan A., Convection Heat Transfer, (1984)
[2]  
Lai F.C., Coupled heat and mass transfer by mixed convection from a vertical plate in a saturated porous medium, Int. Commun. Heat Mass Transf., 18, pp. 93-106, (1991)
[3]  
Raptis A., Tzivanidis G., Kafousias N., Free convection and mass transfer flow through a porous medium bounded by infinite vertical limiting surface with constant suction, Lett. Heat Mass Transf., 8, pp. 417-424, (1981)
[4]  
Pal D., Chatterjee S., Heat and mass transfer in MHD non-Darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation, Commun. Nonlinear Sci. Numer. Simul., 15, pp. 1843-1857, (2010)
[5]  
Cheng P., Minkowycz W.J., Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike, J. Geophys., 82, pp. 2040-2044, (1977)
[6]  
Cheng P., Heat transfer in geothermal system, Adv. Heat Transf., 4, pp. 1-105, (1978)
[7]  
Kim S.J., Vafai K., Analysis of natural convection about a vertical plate embedded in a porous medium, Int. J. Heat Mass Transf., 32, pp. 665-677, (1989)
[8]  
Hong J., Yamada Y., Tien C.L., Effect of non-Darcian and non-uniform porosity on vertical plate natural convection in porous media, J. Heat Transf., 109, pp. 356-362, (1987)
[9]  
Nield D.A., Bjan A., Convection in Porous Media, (1992)
[10]  
Bourne D.E., Dixon J., The cooling of fibres in the formation process, Int. J. Heat Transf., 14, (1971)