Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet

被引:146
作者
Turkyilmazoglu, M. [1 ]
机构
[1] Hacettepe Univ, Dept Math, TR-06532 Ankara, Turkey
关键词
Non-Newtonian fluids; Stretching surface; Slip flow; Magnetohydrodynamics; Viscoelasticity; Multiple solution; Heat transfer; Mass transfer; Thermal radiation; Heat source/sink; ELECTRICALLY CONDUCTING FLUID; 2ND-GRADE FLUID; 2ND-ORDER FLUID; SURFACE; RADIATION; NONUNIQUENESS; UNIQUENESS; SUBJECT;
D O I
10.1016/j.ijthermalsci.2011.05.014
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper we investigate the magnetohydrodynamic slip flow of an electrically conducting, viscoelastic fluid past a stretching surface. The main concern is to analytically investigate the structure of the solutions and determine the thresholds beyond which multiple solutions exist or the physical pure exponential type solution ceases to exist. In the case of the presence of multiple solutions, closed-form formulae for the boundary layer equations of the flow are presented for two classes of viscoelastic fluid, namely, the second-grade and Walter's liquid B fluids. Heat transfer analysis is also carried out for two general types of boundary heating processes, either by a prescribed quadratic power-law surface temperature or by a prescribed quadratic power-law surface heat flux. The flow field is affected by the presence of physical parameters, such as slip, viscoelasticity, magnetic and suction/injection parameters, whereas the temperature field is additionally affected by thermal radiation, heat source/sink, Prandtl and Eckert numbers. The regions of existence or non-existence of unique/multiple solutions sketched by the combination of these parameters are initially worked out by providing critical values and then velocity/temperature profiles and skin friction, coefficient/Nusselt number are examined and discussed. (C) 2011 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:2264 / 2276
页数:13
相关论文
共 31 条
[1]   Hydromagnetic flow in a viscoelastic fluid due to the oscillatory stretching surface [J].
Abbas, Z. ;
Wang, Y. ;
Hayat, T. ;
Oberlack, M. .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (08) :783-793
[2]   Magnetohydrodynamic flow of a viscoelastic fluid [J].
Akyildiz, F. Talay ;
Vajravelu, K. .
PHYSICS LETTERS A, 2008, 372 (19) :3380-3384
[3]   Slip flow past a stretching surface [J].
Andersson, HI .
ACTA MECHANICA, 2002, 158 (1-2) :121-125
[4]   MHD FLOW OF A VISCOELASTIC FLUID PAST A STRETCHING SURFACE [J].
ANDERSSON, HI .
ACTA MECHANICA, 1992, 95 (1-4) :227-230
[5]   Heat transfer in a viscoelastic boundary layer flow over a stretching sheet [J].
Arnold, J. Charles ;
Asir, A. Alwyn ;
Somasundaram, S. ;
Christopher, T. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2010, 53 (5-6) :1112-1118
[6]   Viscoelastic fluid flow and heat transfer over a stretching sheet under the effects of a non-uniform heat source, viscous dissipation and thermal radiation [J].
Bataller, Rafael Cortell .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2007, 50 (15-16) :3152-3162
[8]   Combined Effects of Joule Heating and Viscous Dissipation on Magnetohydrodynamic Flow Past a Permeable, Stretching Surface With Free Convection and Radiative Heat Transfer [J].
Chen, Chien-Hsin .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2010, 132 (06) :1-5
[9]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[10]   MHD visco-elastic fluid flow over a non-isothermal stretching sheet [J].
Datti, PS ;
Prasad, KV ;
Abel, MS ;
Joshi, A .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2004, 42 (8-9) :935-946