A Finite Difference Scheme for Double-Diffusive Unsteady Free Convection from a Curved Surface to a Saturated Porous Medium with a Non-Newtonian Fluid

被引:3
作者
El-Amin, M. F. [1 ]
Sun, Shuyu [1 ]
机构
[1] KAUST, Thuwal 239556900, Saudi Arabia
来源
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS) | 2011年 / 4卷
关键词
Finite difference method; stability; power-law fluids; porous medium; mass transfer; free convection; BUOYANCY-INDUCED FLOW; MIXED CONVECTION; MASS-TRANSFER; VERTICAL PLATE; HEAT-TRANSFER; CYLINDER;
D O I
10.1016/j.procs.2011.04.100
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, a finite difference scheme is developed to solve the unsteady problem of combined heat and mass transfer from an isothermal curved surface to a porous medium saturated by a non-Newtonian fluid. The curved surface is kept at constant temperature and the power-law model is used to model the non-Newtonian fluid. The explicit finite difference method is used to solve simultaneously the equations of momentum, energy and concentration. The consistency of the explicit scheme is examined and the stability conditions are determined for each equation. Boundary layer and Boussinesq approximations have been incorporated. Numerical calculations are carried out for the various parameters entering into the problem. Velocity, temperature and concentration profiles are shown graphically. It is found that as time approaches infinity, the values of wall shear, heat transfer coefficient and concentration gradient at the wall, which are entered in tables, approach the steady state values.
引用
收藏
页码:948 / 957
页数:10
相关论文
共 20 条
[1]   Combined heat and mass transfer by natural convection with opposing buoyancy effects in a fluid saturated porous medium [J].
Angirasa, D ;
Peterson, GP .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1997, 40 (12) :2755-2773
[2]  
[Anonymous], 1969, APPL NUMERICAL METHO
[3]   Unsteady free convection adjacent to an impulsively heated horizontal circular cylinder in porous media [J].
Bradean, R ;
Ingham, DB ;
Heggs, PJ ;
Pop, I .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1997, 32 (04) :325-346
[4]  
Chen HT., 1998, T ASME J HEAT TRANSF, V110, P257
[5]  
Hady F.M., 1994, MMC B, V54, P21
[6]   Forced convection heat transfer on a flat plate embedded in porous media for power-law fluids [J].
Hady, FM ;
Ibrahim, FS .
TRANSPORT IN POROUS MEDIA, 1997, 28 (02) :125-134
[7]   TRANSIENT FREE-CONVECTION FROM A VERTICAL PLATE TO A NON-NEWTONIAN FLUID IN A POROUS-MEDIUM [J].
HAQ, S ;
MULLIGAN, JC .
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1990, 36 :395-410
[8]   UNSTEADY MIXED CONVECTION WITH DOUBLE DIFFUSION OVER A HORIZONTAL CYLINDER AND A SPHERE WITHIN A POROUS-MEDIUM [J].
KUMARI, M ;
NATH, G .
WARME UND STOFFUBERTRAGUNG-THERMO AND FLUID DYNAMICS, 1989, 24 (02) :103-109
[9]   DOUBLY DIFFUSIVE UNSTEADY MIXED CONVECTION FLOW OVER A VERTICAL PLATE EMBEDDED IN A POROUS-MEDIUM [J].
KUMARI, M ;
NATH, G .
INTERNATIONAL JOURNAL OF ENERGY RESEARCH, 1989, 13 (04) :419-430
[10]   DOUBLE DIFFUSIVE UNSTEADY FREE-CONVECTION ON TWO-DIMENSIONAL AND AXISYMMETRIC-BODIES IN A POROUS-MEDIUM [J].
KUMARI, M ;
NATH, G .
INTERNATIONAL JOURNAL OF ENERGY RESEARCH, 1989, 13 (04) :379-391