Boundary-layer flow of Reiner-Philippoff fluids past a stretching wedge

被引:58
作者
Yam, K. S. [2 ]
Harris, S. D. [1 ]
Ingham, D. B. [2 ]
Pop, I. [3 ]
机构
[1] Univ Leeds, Sch Earth Sci, Leeds LS2 9JT, W Yorkshire, England
[2] Univ Leeds, Ctr Computat Fluid Dynam, Leeds LS2 9JT, W Yorkshire, England
[3] Univ Cluj, Fac Math, R-3400 Cluj Napoca, Romania
关键词
Boundary-layer flow; Reiner-Philippoff fluid; Stretching wedge; Numerical solution; Stability analysis; HEAT-TRANSFER; SIMILARITY SOLUTIONS; MOVING SURFACES; EQUATIONS; WALL; PLATE; SHEET;
D O I
10.1016/j.ijnonlinmec.2009.08.006
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper presents a numerical analysis of the steady boundary-layer flow of a Reiner-Philippoff fluid induced by a 90 degrees stretching wedge in a variable free stream. The governing partial differential equations are converted into a set of two ordinary differential equations by the use of a similarity transformation. The flow is therefore governed by a stretching velocity parameter lambda and two non-Newtonian fluid parameters gamma and mu(0). The variation of the skin friction, as well as other flow characteristics, as a function of the governing parameters is presented graphically and tabulated. A stability analysis has also been performed for this self-similar flow based on linear disturbances to the steady similarity solutions. The results presented in this paper reveal that there are no multiple (dual) solutions for the present problem and the unique solution is stable. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1056 / 1062
页数:7
相关论文
共 37 条
[1]   Friction drag resulting from the simultaneous imposed motions of a freestream and its bounding surface [J].
Abraham, JP ;
Sparrow, EM .
INTERNATIONAL JOURNAL OF HEAT AND FLUID FLOW, 2005, 26 (02) :289-295
[2]   THE COOLING OF A LOW HEAT-RESISTANCE STRETCHING SHEET MOVING THROUGH A FLUID [J].
AFZAL, N ;
VARSHNEY, IS .
WARME UND STOFFUBERTRAGUNG-THERMO AND FLUID DYNAMICS, 1980, 14 (04) :289-293
[3]   HEAT-TRANSFER FROM A STRETCHING SURFACE [J].
AFZAL, N .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1993, 36 (04) :1128-1131
[4]  
[Anonymous], 1964, SIMILARITY ANAL BOUN
[5]  
BANKS WHH, 1983, J MEC THEOR APPL, V2, P375
[6]   EIGENSOLUTIONS IN BOUNDARY-LAYER FLOW ADJACENT TO A STRETCHING WALL [J].
BANKS, WHH ;
ZATURSKA, MB .
IMA JOURNAL OF APPLIED MATHEMATICS, 1986, 36 (03) :263-273
[7]   Similarity solutions for flow and heat transfer of a quiescent fluid over a nonlinearly stretching surface [J].
Bataller, Rafael Cortell .
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2008, 203 (1-3) :176-183
[8]  
Bird R. B., 1987, FLUID MECH-SOV RES, V2nd
[9]  
Blasius H., 1908, Z. Math. Phys, V56, P1
[10]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&