Crocco variable formulation for uniform shear flow over a stretching surface with transpiration: Multiple solutions and stability

被引：23

作者：

Weidman, P. D. ^{[1
]}

Davis, A. M. J. ^{[2
]}

Kubitschek, D. G. ^{[3
]}

机构：

[1] Univ Colorado, Dept Mech Engn, Boulder, CO 80309 USA

[2] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA

[3] CALTECH, Jet Prop Lab, Opt Navigat Grp, Pasadena, CA 91109 USA

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2008年 / 59卷 / 02期

关键词：

shear flow; boundary layer; plate stretching; suction; multiple solutions; stability;

D O I：

10.1007/s00033-006-6018-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The simultaneous effects of transpiration through and tangential movement of a semi-infinite flat plate on the self-similar boundary layer flow driven by uniform shear in the far field is considered. Difficulties with standard shooting techniques are overcome using Crocco variables which also serve to better elucidate the solution structure. The stabilities of dual, triple and even quadruple steady flow solutions encountered in different ranges of plate stretching and wall stress are determined using a linear temporal stability analysis for the self-similar flow.

引用

页码：313 / 332

页数：20

共 16 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2] 2ND-ORDER FLUID-FLOW PAST A STRETCHING SHEET WITH HEAT-TRANSFER [J].

BUJURKE, NM ;

BIRADAR, SN ;

HIREMATH, PS .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1987, 38 (04) :653-657

[3]

GRIFFITH AA, 1936, E3501 ROYAL AIRCR

[4] Two-fluid jets and wakes [J].

Herczynski, A ;

Weidman, PD ;

Burde, GI .

PHYSICS OF FLUIDS, 2004, 16 (04) :1037-1048

[5] ON SIMILARITY SOLUTIONS OF A BOUNDARY-LAYER PROBLEM WITH AN UPSTREAM MOVING WALL [J].

HUSSAINI, MY ;

LAKIN, WD ;

NACHMAN, A .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1987, 47 (04) :699-709

[6] MOVING-WALL BOUNDARY-LAYER WITH REVERSE FLOW [J].

KLEMP, JB ;

ACRIVOS, A .

JOURNAL OF FLUID MECHANICS, 1976, 76 (JUL28) :363-381

[7] METHOD FOR INTEGRATING BOUNDARY-LAYER EQUATIONS THROUGH A REGION OF REVERSE FLOW [J].

KLEMP, JB ;

ACRIVOS, A .

JOURNAL OF FLUID MECHANICS, 1972, 53 (MAY9) :177-&

[8]

KUMARI M, 1981, J APPL MATH PHYS, V32, P267

[9] The "missing" similarity boundary-layer flow over a moving plane surface [J].

Magyari, E ;

Pop, I ;

Keller, B .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2002, 53 (05) :782-793

[10] The wall jet as limiting case of a boundary-layer flow induced by a permeable stretching surface [J].

Magyari, E ;

Keller, B .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2001, 52 (04) :696-703

← 1 2 →