Three-dimensional flow of an Oldroyd-B fluid over a bidirectional stretching surface with prescribed surface temperature and prescribed surface heat flux

被引:31
作者
Hayat, Tasawar [1 ,2 ]
Shehzad, Sabir Ali [1 ]
Al-Mezel, Saleh [2 ]
Alsaedi, Ahmed [2 ]
机构
[1] Quaid I Azam Univ 45320, Dept Math, Islamabad 44000, Pakistan
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Three-dimensional flow; Oldroyd-B fluid; Bidirectional stretching surface; Heat source/sink; ANALYTIC APPROXIMATE SOLUTIONS; UNSTEADY HELICAL FLOWS; STAGNATION-POINT FLOW; BOUNDARY-LAYER-FLOW; MASS-TRANSFER; CHEMICAL-REACTION; JEFFERY FLUID; POROUS-MEDIUM; SHEET; PLATE;
D O I
10.2478/johh-2014-0016
中图分类号
TV21 [水资源调查与水利规划];
学科分类号
081501 ;
摘要
This paper concentrates on the mathematical modelling for three-dimensional flow of an incompressible Oldroyd-B fluid over a bidirectional stretching surface. Mathematical formulation incorporates the effect of internal heat source/sink. Two cases of heat transfer namely the prescribed surface temperature (PST) and prescribed surface heat flux (PHF) are considered. Computations for the governing nonlinear flow are presented using homotopy analysis method. Comparison of the present analysis is shown with the previous limiting result. The obtained results are discussed by plots of interesting parameters for both PST and PHF cases. We examine that an increase in Prandtl number leads to a reduction in PST and PHF. It is noted that both PST and PHF are increased with an increase in source parameter. Further we have seen that the temperature is an increasing function of ratio parameter.
引用
收藏
页码:117 / 125
页数:9
相关论文
共 36 条
[1]   HYDROMAGNETIC FLOW AND HEAT TRANSFER OVER A BIDIRECTIONAL STRETCHING SURFACE IN A POROUS MEDIUM [J].
Ahmad, Iftikhar ;
Ahmed, Manzoor ;
Abbas, Zaheer ;
Sajid, Muhammad .
THERMAL SCIENCE, 2011, 15 :S205-S220
[2]  
[Anonymous], 1964, Boundary Layer Theory
[3]   The three-dimensional flow past a stretching sheet and the homotopy perturbation method [J].
Ariel, P. Donald .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :920-925
[4]   Mass transfer on a continuous flat plate moving in parallel or reversely to a free stream in the presence of a chemical reaction [J].
Bhattacharyya, Krishnendu .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2012, 55 (13-14) :3482-3487
[5]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[6]   A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid [J].
Fetecau, C. ;
Prasad, Sharat C. ;
Rajagopal, K. R. .
APPLIED MATHEMATICAL MODELLING, 2007, 31 (04) :647-654
[7]   Decay of a potential vortex in an Oldroyd-B fluid [J].
Fetecau, C ;
Fetecau, C .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2005, 43 (3-4) :340-351
[8]  
FETECAU C., 2003, C R ACAD PARIS 1, V335, P979
[9]  
Harris J., 1977, RHEOLOGY NONNEWTONIA
[10]   Mixed Convection Stagnation Point Flow of Casson Fluid with Convective Boundary Conditions [J].
Hayat, T. ;
Shehzad, S. A. ;
Alsaedi, A. ;
Alhothuali, M. S. .
CHINESE PHYSICS LETTERS, 2012, 29 (11)