On boundary-layer flows induced by the motion of stretching surfaces

被引：21

作者：

Al-Housseiny, Talal T. ^{[2
]}

Stone, Howard A. ^{[1
]}

机构：

[1] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA

[2] Princeton Univ, Dept Chem & Biol Engn, Princeton, NJ 08544 USA

来源：

JOURNAL OF FLUID MECHANICS | 2012年 / 706卷

基金：

美国国家科学基金会;

关键词：

boundary layers; flow-structure interactions; POWER-LAW FLUID; 3-DIMENSIONAL FLOW; HEAT-TRANSFER; SHEET; UNSTEADY; BEHAVIOR;

D O I：

10.1017/jfm.2012.292

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We investigate laminar boundary-layer flows due to translating, stretching, incompressible sheets. Unlike the classical problem in the literature where the mechanics of the sheet are neglected, and kinematics are prescribed, the dynamics of both the fluid and the sheet are herein coupled. Two types of stretching sheets are considered: an elastic sheet that obeys linear elasticity and a sheet that deforms as a viscous Newtonian fluid. In both cases, we find self-similar solutions to the coupled fluid/sheet system. These self-similar solutions are only valid under limiting conditions.

引用

页码：597 / 606

页数：10

共 26 条

[1] MOMENTUM AND HEAT TRANSFER IN LAMINAR BOUNDARY-LAYER FLOWS OF NON-NEWTONIAN FLUIDS PAST EXTERNAL SURFACES [J].

ACRIVOS, A ;

SHAH, MJ ;

PETERSEN, EE .

AICHE JOURNAL, 1960, 6 (02) :312-317

[2] On sheet-driven motion of power-law fluids [J].

Andersson, H. I. ;

Kumaran, V. .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2006, 41 (10) :1228-1234

[3] Flow of a power-law fluid film on an unsteady stretching surface [J].

Andersson, HI ;

Aarseth, JB ;

Braud, N ;

Dandapat, BS .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1996, 62 (01) :1-8

[4] Slip flow past a stretching surface [J].

Andersson, HI .

ACTA MECHANICA, 2002, 158 (1-2) :121-125

[5]

BANKS WHH, 1983, J MEC THEOR APPL, V2, P375

[6] FLOW PAST A STRETCHING PLATE [J].

CRANE, LJ .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1970, 21 (04) :645-&

[7] CONTINUOUS DRAWING OF LIQUIDS TO FORM FIBERS [J].

DENN, MM .

ANNUAL REVIEW OF FLUID MECHANICS, 1980, 12 :365-387

[8] UNSTEADY, 3-DIMENSIONAL, BOUNDARY-LAYER FLOW DUE TO A STRETCHING SURFACE [J].

DEVI, CDS ;

TAKHAR, HS ;

NATH, G .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1986, 29 (12) :1996-1999

[9] Boundary layer flow over a stretching sheet with variable thickness [J].

Fang, Tiegang ;

Zhang, Ji ;

Zhong, Yongfang .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (13) :7241-7252

[10] LAMINAR BOUNDARY LAYER ON A MOVING CONTINUOUS FLAT SHEET IMMERSED IN A NON-NEWTONIAN FLUID [J].

FOX, VG ;

ERICKSON, LE ;

FAN, LT .

AICHE JOURNAL, 1969, 15 (03) :327-&

← 1 2 3 →