Natural convection flow of micropolar fluid in a rectangular cavity heated from below with cold sidewalls

被引:44
作者
Saleem, M. [1 ]
Asghar, S. [1 ]
Hossain, M. A. [1 ]
机构
[1] Comsats Inst Informat Technol, Dept Math, Islamabad, Pakistan
关键词
Convection; Micropolar fluid; Rectangular cavity; MIXED CONVECTION; ENCLOSURES; PLATE;
D O I
10.1016/j.mcm.2011.02.041
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Transient and steady two-dimensional natural convection flow of micropolar fluid in a rectangular cavity heated from below with cold sidewalls has been studied numerically. The governing transient equations are solved using Alternate Direct Implicit method, together with Successive Over Relaxation method for stream function equation. The flow pattern and its effect on heat transfer and skin friction is studied for different values of Rayleigh number, Prandtl number, vortex viscosity parameter and cavity length. It was found that the number of vortex cells formed inside the cavity is a characteristic of the cavity length, the vortex viscosity parameter and Rayleigh number. The results are also compared with the case of Newtonian fluid. The heat transfer rate from heated surface, in the case of micropolar fluid is less than that of the Newtonian fluid under the same physical conditions. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:508 / 518
页数:11
相关论文
共 17 条
[1]  
AHMADI G, 1976, INT J ENG SCI, V14, P639, DOI 10.1016/0020-7225(76)90006-9
[2]   Natural convection from a discrete heater in enclosures filled with a micropolar fluid [J].
Aydin, O ;
Pop, I .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (19-20) :1409-1418
[3]   NATURAL-CONVECTION IN A SHALLOW CAVITY [J].
DRUMMOND, JE ;
KORPELA, SA .
JOURNAL OF FLUID MECHANICS, 1987, 182 :543-564
[4]   THEORY OF THERMOMICROFLUIDS [J].
ERINGEN, AC .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 38 (02) :480-&
[5]  
ERINGEN AC, 1966, J MATH MECH, V16, P1
[6]   ASYMPTOTIC BOUNDARY-LAYER SOLUTIONS FOR MIXED CONVECTION FROM A VERTICAL SURFACE IN A MICROPOLAR FLUID [J].
GORLA, RSR ;
LIN, PP ;
YANG, AJ .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1990, 28 (06) :525-533
[7]   Natural convection flow of a viscous incompressible fluid in a rectangular porous cavity heated from below with cold sidewalls [J].
Hossain, MA ;
Rees, DAS .
HEAT AND MASS TRANSFER, 2003, 39 (8-9) :657-663
[8]   Mixed convection flow of micropolar fluid over an isothermal plate with variable spin gradient viscosity [J].
Hossain, MA ;
Chowdhury, MK .
ACTA MECHANICA, 1998, 131 (3-4) :139-151
[9]   Natural convection of micropolar fluids in an open cavity [J].
Hsu, T. H. ;
Hong, K. Y. .
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 2006, 50 (03) :281-300
[10]   Natural convection of micropolar fluids in an enclosure with heat sources [J].
Hsu, TH ;
Hsu, PT ;
Tsai, SY .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1997, 40 (17) :4239-4249