EFFECTS OF SLIP FACTORS ON THE UNSTEADY STAGNATION POINT FLOW AND HEAT TRANSFER TOWARDS A STRETCHING SHEET: AN ANALYTICAL STUDY

被引:8
作者
Khan, Najeeb Alam [1 ]
Jamil, Muhammad [2 ]
Khan, Nadeem Alam [1 ]
机构
[1] Univ Karachi, Dept Math Sci, Karachi 75270, Pakistan
[2] NED Univ Engn & Technol, Dept Math, Karachi 75270, Pakistan
关键词
stagnation; slip effect; thermal slip; heat transfer; stretching sheet; BOUNDARY-LAYER-FLOW; MIXED CONVECTION; SURFACE; REGION;
D O I
10.1615/HeatTransRes.2012004962
中图分类号
O414.1 [热力学];
学科分类号
摘要
This paper aims at presenting an analytical solution to the problem of unsteady stagnation-point flow and heat transfer towards a stretching sheet. The homotopy analysis method (HAM) is employed to compute the solution of the system of nonlinear equations governing the problem. The slip contributions, which appeared in the solution as expected, tend to zero when the parameters lambda and delta tend to zero. Finally, the influence of the material, slip, and the unsteadiness parameters of the fluid motion, as well as a comparison with the numerical solution are also discussed with the aid of graphical illustrations.
引用
收藏
页码:779 / 794
页数:16
相关论文
共 24 条
[1]   Slip flow past a stretching surface [J].
Andersson, HI .
ACTA MECHANICA, 2002, 158 (1-2) :121-125
[2]  
[Anonymous], INT J DIFFER EQUAT, DOI DOI 10.1155/2011/193813
[3]  
Aziz A., 2007, ASME C P, P369
[4]   BOUNDARY CONDITIONS AT A NATURALLY PERMEABLE WALL [J].
BEAVERS, GS ;
JOSEPH, DD .
JOURNAL OF FLUID MECHANICS, 1967, 30 :197-&
[5]   Slip Effects on an Unsteady Boundary Layer Stagnation-Point Flow and Heat Transfer towards a Stretching Sheet [J].
Bhattacharyya, Krishnendu ;
Mukhopadhyay, Swati ;
Layek, G. C. .
CHINESE PHYSICS LETTERS, 2011, 28 (09)
[6]  
Chaudhary R. C., 2006, Romanian Journal of Physics, V51, P911
[7]   An exact solution to the unsteady free-convection boundary-layer flow past an impulsively started vertical surface with newtonian heating [J].
Chaudhary R.C. ;
Jain P. .
Journal of Engineering Physics and Thermophysics, 2007, 80 (5) :954-960
[8]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[9]   UNSTEADY MIXED CONVECTION FLOW IN STAGNATION REGION ADJACENT TO A VERTICAL SURFACE [J].
DEVI, CDS ;
TAKHAR, HS ;
NATH, G .
WARME UND STOFFUBERTRAGUNG-THERMO AND FLUID DYNAMICS, 1991, 26 (02) :71-79
[10]   Mixed convection on the stagnation point flow toward a vertical, continuously stretching sheet [J].
Ishak, A. ;
Nazar, R. ;
Pop, I. .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2007, 129 (08) :1087-1090