Analysis of viscous flow due to a stretching sheet with surface slip and suction

被引:225
作者
Wang, C. Y. [1 ]
机构
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
关键词
viscous flow; Navier-Stokes; stretching boundary; UNIQUENESS; EQUATIONS; BOUNDARY; FLUID;
D O I
10.1016/j.nonrwa.2007.09.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Viscous flow due to a stretching sheet with slip and suction is Studied. The Navier-Stokes equations admit exact similarity Solutions. For two-dimensional stretching a closed-form solution is found and uniqueness is proved. For axisymmetric stretching both existence and uniqueness are shown. The boundary Value problem is then integrated numerically. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:375 / 380
页数:6
相关论文
共 9 条
[1]   Slip flow past a stretching surface [J].
Andersson, HI .
ACTA MECHANICA, 2002, 158 (1-2) :121-125
[2]   FLOW PAST A STRETCHING PLATE [J].
CRANE, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&
[3]   HEAT AND MASS-TRANSFER ON A STRETCHING SHEET WITH SUCTION OR BLOWING [J].
GUPTA, PS ;
GUPTA, AS .
CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 1977, 55 (06) :744-746
[4]   ON THE UNIQUENESS OF FLOW OF A NAVIER-STOKES FLUID DUE TO A STRETCHING BOUNDARY [J].
MCLEOD, JB ;
RAJAGOPAL, KR .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1987, 98 (04) :385-393
[5]   UNIQUENESS OF FLOW OF A 2ND-ORDER FLUID PAST A STRETCHING SHEET [J].
TROY, WC ;
OVERMAN, EA ;
ERMENTROUT, GB ;
KEENER, JP .
QUARTERLY OF APPLIED MATHEMATICS, 1987, 44 (04) :753-755
[6]  
WANG CY, 1991, ANNU REV FLUID MECH, V23, P159, DOI 10.1146/annurev.fluid.23.1.159
[7]   Flow due to a stretching boundary with partial slip-an exact solution of the Navier-Stokes equations [J].
Wang, CY .
CHEMICAL ENGINEERING SCIENCE, 2002, 57 (17) :3745-3747
[8]   THE 3-DIMENSIONAL FLOW DUE TO A STRETCHING FLAT SURFACE [J].
WANG, CY .
PHYSICS OF FLUIDS, 1984, 27 (08) :1915-1917
[9]   WALL SLIP CORRECTIONS FOR COUETTE AND PARALLEL DISK VISCOMETERS [J].
YOSHIMURA, A ;
PRUDHOMME, RK .
JOURNAL OF RHEOLOGY, 1988, 32 (01) :53-67