Mixed Convection Effect on Melting from a Vertical Plate Embedded in Porous Medium with Soret and Dufour Effects

被引:2
作者
Jha, Basant [1 ]
Mohammed, Umaru [2 ]
机构
[1] Ahmadu Bello Univ, Dept Math, Zaria, Nigeria
[2] Fed Univ Technol, Dept Math Stat, Minna, Nigeria
来源
HEAT TRANSFER-ASIAN RESEARCH | 2014年 / 43卷 / 07期
关键词
liquid phase; mixed convection; Dufour effect; Soret effect; melting effect; porous medium;
D O I
10.1002/htj.21113
中图分类号
O414.1 [热力学];
学科分类号
摘要
The present work analyzed the impact of mixed convection on melting from a vertical flat plate embedded in porous medium in the presence of Dufour and Soret effects. The partial differential equations governing the problem under consideration have been transformed by a similarity transformation into a system of ordinary differential equation which is solved numerically by Runge-Kutta-Gill methods. Dimensionless velocity, temperature, and concentration profiles are presented graphically for various values of the Dufour number (Df), Soret number (Sr), melting parameter (M), and buoyancy parameter (Gr/Re). During the investigation, it was found that the melting phenomenon decreases the local Nusselt number and local Sherwood number at the solid-liquid interface. Also, it is interesting to note that the velocity as well as temperature increases while the concentration decreases with an increase in the Dufour number Df (or simultaneous decrease in the Soret number Sr). (C) 2013 Wiley Periodicals, Inc.
引用
收藏
页码:667 / 676
页数:10
相关论文
共 25 条
[1]   Boundary layer flows with Dufour and Soret effects: I: Forced and natural convection [J].
Abreu, C. R. A. ;
Alfradique, M. F. ;
Telles, A. Silva .
CHEMICAL ENGINEERING SCIENCE, 2006, 61 (13) :4282-4289
[2]  
Alam M. S., 2006, Nonlinear Analysis Modelling and Control, V11, P3
[3]  
Chamkha AJ, 2010, INT J PHYS SCI, V5, P1212
[4]   ON FREE-CONVECTION MELTING OF A SOLID IMMERSED IN A HOT DISSIMILAR FLUID [J].
CHEN, MM ;
FARHADIEH, R ;
BAKER, L .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1986, 29 (08) :1087-1093
[5]   Melting effect on mixed convective heat transfer with aiding and opposing external flows from the vertical plate in a liquid-saturated porous medium [J].
Cheng, Wen T. ;
Lin, Chung H. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (15-16) :3026-3034
[6]   DIFFUSION-THERMO AND THERMAL-DIFFUSION EFFECTS IN TRANSIENT AND STEADY NATURAL-CONVECTION FROM A VERTICAL SURFACE [J].
DURSUNKAYA, Z ;
WOREK, WM .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1992, 35 (08) :2060-2065
[7]  
Eckert E.R.G., 1972, ANAL HEAT MASS TRANS
[8]  
Epstein M, ASME J HEAT TRANSF, V98, P108
[9]   Mixed convection effect on melting from a vertical plate in a porous medium [J].
Gorla, RSR ;
Mansour, MA ;
Hassanien, IA ;
Bakier, AY .
TRANSPORT IN POROUS MEDIA, 1999, 36 (02) :245-254
[10]   THERMAL-DIFFUSION AND DIFFUSION-THERMO EFFECTS ON MIXED FREE-FORCED CONVECTIVE AND MASS-TRANSFER BOUNDARY-LAYER FLOW WITH TEMPERATURE-DEPENDENT VISCOSITY [J].
KAFOUSSIAS, NG ;
WILLIAMS, EW .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (09) :1369-1384