Slip flow due to a stretching cylinder

被引：100

作者：

Wang, C. Y. ^{[2
]}

Ng, Chiu-On ^{[1
]}

机构：

[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2011年 / 46卷 / 09期

关键词：

Slip flow; Stretching cylinder; Similarity; NAVIER-STOKES EQUATIONS; 3-DIMENSIONAL FLOW; BOUNDARY; SURFACE;

D O I：

10.1016/j.ijnonlinmec.2011.05.014

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The slip flow due to a stretching cylinder is studied. A similarity transform reduces the Navier-Stokes equations to a set of non-linear ordinary differential equations. Asymptotic solutions for large Reynolds number and small slip show the problem can be related to the existing two-dimensional stretching cases. Due to algebraic decay, the equations are further transformed through a compressed variable, and then integrated numerically. It is found that slip greatly reduces the magnitudes of the velocities and the shear stress. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1191 / 1194

页数：4

共 16 条

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

Andersson, HI .

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

[2] Generalized three-dimensional flow due to a stretching sheet [J].

Ariel, PD .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2003, 83 (12) :844-852

[3] STEADY FLOW IN A CHANNEL OR TUBE WITH AN ACCELERATING SURFACE VELOCITY - AN EXACT SOLUTION TO THE NAVIER-STOKES EQUATIONS WITH REVERSE FLOW [J].

BRADY, JF ;

ACRIVOS, A .

JOURNAL OF FLUID MECHANICS, 1981, 112 (NOV) :127-150

[4] Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface - art. no. 066001 [J].

Choi, CH ;

Kim, CJ .

PHYSICAL REVIEW LETTERS, 2006, 96 (06)

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

CRANE, LJ .

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

[6] NONSIMILAR MOVING-WALL BOUNDARY-LAYER PROBLEM [J].

DANBERG, JE ;

FANSLER, KS .

QUARTERLY OF APPLIED MATHEMATICS, 1976, 34 (03) :305-310

[7] Liquid slip in micro- and nanofluidics: recent research and its possible implications [J].

Eijkel, Jan .

LAB ON A CHIP, 2007, 7 (03) :299-301

[8]

Navier C. L. M. H., 1827, CR HEBD ACAD SCI, V6, P389

[9] Data on internal rarefied gas flows [J].

Sharipov, F ;

Seleznev, V .

JOURNAL OF PHYSICAL AND CHEMICAL REFERENCE DATA, 1998, 27 (03) :657-706

[10] LAMINAR BOUNDARY-LAYER BEHAVIOR ON CONTINUOUS, ACCELERATING SURFACES [J].

VLEGGAAR, J .

CHEMICAL ENGINEERING SCIENCE, 1977, 32 (12) :1517-1525

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