HEAT TRANSFER DUE TO MHD SLIP FLOW OF A SECOND-GRADE LIQUID OVER A STRETCHING SHEET THROUGH A POROUS MEDIUM WITH NONUNIFORM HEAT SOURCE/SINK

被引：23
作者：
Abel, M. Subhas [1 ]
Mahesha, N. [2 ]
Malipatil, Sharanagouda B. [3 ]
机构：
[1] Gulbarga Univ, Dept Math, Gulbarga 585106, Karnataka, India
[2] MS Ramaiah Inst Technol, Dept Math, Bangalore, Karnataka, India
[3] PDA Coll Engn, Dept Math, Gulbarga, Karnataka, India
来源：
CHEMICAL ENGINEERING COMMUNICATIONS | 2011年 / 198卷 / 02期
关键词：
Magnetic field; Nonuniform heat source; sink; Porous medium; Second-grade liquid; Slip flow; Stretching sheet; POWER-LAW FLUID; ELECTRICALLY CONDUCTING FLUID; CONTINUOUS SOLID SURFACES; BOUNDARY-LAYER BEHAVIOR; NON-NEWTONIAN FLUIDS; VISCOELASTIC FLUID; CONVECTION; SUCTION;
D O I：
10.1080/00986445.2010.499848
中图分类号：
TQ [化学工业];
学科分类号：
0817 ;
摘要：
An analysis is carried out to study the heat transfer characteristics of a second-grade non-Newtonian liquid due to a stretching sheet through a porous medium under the influence of external magnetic field. The stretching sheet is assumed to be impermeable. Partial slip condition is used to study the flow behavior of the liquid. The effects of viscous dissipation, nonuniform heat source/sink on the heat transfer are addressed. The nonlinear partial differential equations governing momentum and heat transfer in the boundary layer are converted into nonlinear ordinary differential equations using similarity transformation. Analytical solutions are obtained for the resulting boundary value problems in the case of two types of boundary heating, namely, constant surface temperature (CST) and prescribed surface temperature (PST). The effects of slip parameter, second-grade liquid parameter, combined (magnetic and porous) parameter, Prandtl number, Eckert number, and nonuniform heat source/sink parameters on the heat transfer are shown in several plots. Analytical expressions for the wall frictional drag coefficient and wall temperature gradient are obtained.
引用
收藏
页码：191 / 213
页数：23
相关论文
共 49 条
[1]   Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation [J].
Abel, M. Subhas ;
Mahesha, N. .
APPLIED MATHEMATICAL MODELLING, 2008, 32 (10) :1965-1983
[2]   Effects of thermal buoyancy and variable thermal conductivity on the MHD flow and heat transfer in a power-law fluid past a vertical stretching sheet in the presence of a non-uniform heat source [J].
Abel, M. Subhols ;
Siddheshwar, P. G. ;
Mahesha, N. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (01) :1-12
[3]   Convective heat and mass transfer in a visco-elastic fluid flow through a porous medium over a stretching sheet [J].
Abel, MS ;
Khan, SK ;
Prasad, KV .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2001, 11 (08) :779-792
[4]   Study of visco-elastic fluid flow and heat transfer over a stretching sheet with variable viscosity [J].
Abel, MS ;
Khan, SK ;
Prasad, KV .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2002, 37 (01) :81-88
[5]  
ABEL MS, 2001, ZAMM, V81, P691
[6]   MHD free-convection flow of a non-Newtonian power-law fluid at a stretching surface with a uniform free-stream [J].
Abo-Eldahab, EM ;
Salem, AM .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (02) :806-818
[7]   Blowing/suction effect on hydromagnetic heat transfer by mixed convection from an inclined continuously stretching surface with internal heat generation/absorption [J].
Abo-Eldahab, EM ;
El Aziz, MA .
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2004, 43 (07) :709-719
[8]  
Abramowitz M., 1972, HDB MATH FUNCTIONS
[9]   Slip flow past a stretching surface [J].
Andersson, HI .
ACTA MECHANICA, 2002, 158 (1-2) :121-125
[10]   MHD FLOW OF A VISCOELASTIC FLUID PAST A STRETCHING SURFACE [J].
ANDERSSON, HI .
ACTA MECHANICA, 1992, 95 (1-4) :227-230
12345