Natural convection from a vertical plate immersed in a power-law fluid saturated non-Darcy porous medium with viscous dissipation and Soret effects

被引：8
作者：
Khidir A.A. [1 ,2 ]
Narayana M. [1 ]
Sibanda P. [1 ]
Murthy P.V.S.N. [3 ]
机构：
[1] School of Mathematical Sciences, University of KwaZulu-Natal, Scottsville, Private Bag X01, Pietermaritzburg
[2] Alneelain University, Algamhoria Street, P. O. Box 12702, Khartoum
[3] Department of Mathematics, Indian Institute of Technology, Kharagpur
来源：
Afrika Matematika | 2015年 / 26卷 / 7-8期
关键词：
Natural convection; Non-Darcy porous medium; Non-Newtonian fluid; Power-law fluid; Successive linearisation method; Viscous dissipation;
D O I：
10.1007/s13370-014-0301-8
中图分类号：
学科分类号：
摘要：
In this work, we study the viscous dissipation and thermal-diffusion effects on natural convection from a vertical plate embedded in a fluid saturated non-Darcy porous medium. The non-Newtonian behaviour of fluid is characterized by the generalized power-law model. The governing partial differential equations are transformed into a system of ordinary differential equations using a local non-similarity solution and the resulting boundary value problem is solved using a novel successive linearisation method (SLM). The accuracy of the SLM has been established by comparing the results with the shooting technique. The effects of physical parameters on heat and mass transfer coefficients for the convective motion of the power-law liquid are presented both qualitatively and quantitatively. The results show that the Nusselt number is reduced by viscous dissipation and enhanced by the Soret number but the Sherwood number increases with viscous dissipation and decreases with the Soret number. An increasing viscosity enhances heat and mass transfer coefficients in both cases of aiding buoyancy and opposing buoyancy. © 2014, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
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页码：1495 / 1518
页数：23
相关论文
共 48 条
[1]  
Awad F.G., Sibanda P., Motsa S.S., Makinde O.D., Convection from an inverted cone in a porous medium with cross-diffusion effects, Comput. Math. Appl., 61, pp. 1431-1441, (2011)
[2]  
Ben Khelifa N., Alloui Z., Beji H., Natural convection in a horizontal porous cavity filled with a non-Newtonian binary fluid of power-law type, J. Non-Newtonian Fluid Mech, 169-170, pp. 15-25, (2012)
[3]  
Canuto C., Hussaini M.Y., Quarteroni A., Zang T.A., Spectral Methods in Fluid Dynamics, (1988)
[4]  
Chamkha A.J., Khaled A.A., Nonsimilar hydromagnetic simultaneous heat and mass transfer by mixed convection from a vertical plate embedded in a uniform porous medium, Numer. Heat Transf. Part A Appl., 36, pp. 327-344, (1999)
[5]  
Chen H.T., Chen C.K., Free convection of non-Newtonian fluids along a vertical plate embedded in a porous medium, ASME J. Heat Transf., 110, pp. 257-260, (1988)
[6]  
Chen H.T., Chen C.K., Natural convection of a non-Newtonian fluid about a horizontal cylinder and sphere in a porous medium, Int. Commun. Heat Mass Transf., 15, pp. 605-614, (1988)
[7]  
Cheng C.Y., Soret and Dufour effects on free convection boundary layers of non-Newtonian power law fluids with yield stress in porous media over a vertical plate with variable wall heat and mass fluxes, Int. Commun. Heat Mass Transf, 38, pp. 615-619, (2011)
[8]  
Cheng C.Y., Natural convection heat and mass transfer near a vertical wavy surface with constant wall temperature and constration in a porous medium, Int. Commun. Heat Mass Transf., 27, 8, pp. 1143-1154, (2000)
[9]  
Cheng C.Y., Natural convection heat and mass transfer of non-Newtonian power law fluids with yield stress in porous media from a vertical plate with variable wall heat and mass fluxes, Int. Commun. Heat Mass Transf., 33, pp. 1156-1164, (2006)
[10]  
Cheng C.Y., Soret and Dufour effects on natural convection heat and mass transfer from a vertical cone in a porous medium, Int. Commun. Heat Mass Transf., 36, pp. 1020-1024, (2009)
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