Asymptotic solutions for laminar flow in a channel with uniformly accelerating rigid porous walls

被引：6

作者：

Zheng, Liancun ^{[1
]}

Zhao, Na

Zhang, Xinxin

机构：

[1] Univ Sci & Technol Beijing, Appl Sci Sch, Beijing 100083, Peoples R China

[2] Univ Sci & Technol Beijing, Sch Mech Engn, Beijing 100083, Peoples R China

来源：

JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING | 2007年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

porous channel; suction/injection; asymptotic expansion; multiple solutions;

D O I：

10.1016/S1005-8850(07)60080-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A theoretical investigation was done for the generalized Berman problem, which arises in steady laminar flow of an incompressible viscous fluid along a channel with accelerating rigid porous walls. The existence of multiple solutions and its conditions were established by taking into account exponentially small terms in matched asymptotic expansion. The correctness of the analytical predictions was verified by numerical results.

引用

页码：405 / 409

页数：5

共 10 条

[1] LAMINAR FLOW IN CHANNELS WITH POROUS WALLS [J].

BERMAN, AS .

JOURNAL OF APPLIED PHYSICS, 1953, 24 (09) :1232-1235

[2] 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

[3] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF A SIMILARITY EQUATION FOR LAMINAR FLOWS IN CHANNELS WITH POROUS WALLS [J].

LU, CQ ;

MACGILLIVRAY, AD ;

HASTINGS, SP .

IMA JOURNAL OF APPLIED MATHEMATICS, 1992, 49 (02) :139-162

[4] EXISTENCE OF MULTIPLE SOLUTIONS FOR LAMINAR-FLOW IN A UNIFORMLY POROUS CHANNEL WITH SUCTION AT BOTH WALLS [J].

ROBINSON, WA .

JOURNAL OF ENGINEERING MATHEMATICS, 1976, 10 (01) :23-40

[5]

STEPHEN MC, 1991, J APPL MATH, V51, P429

[6] SOME EXPONENTIALLY SMALL TERMS ARISING IN FLOW THROUGH A POROUS PIPE [J].

TERRILL, RM .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1973, 26 (AUG) :347-354

[7] ON TRANSITION TO CHAOS IN 2-DIMENSIONAL CHANNEL FLOW SYMMETRICALLY DRIVEN BY ACCELERATING WALLS [J].

WATSON, EBB ;

BANKS, WHH ;

ZATURSKA, MB ;

DRAZIN, PG .

JOURNAL OF FLUID MECHANICS, 1990, 212 :451-485

[8] FURTHER INVESTIGATION OF LAMINAR FLOW IN CHANNELS WITH POROUS WALLS [J].

YUAN, SW .

JOURNAL OF APPLIED PHYSICS, 1956, 27 (03) :267-269

[9]

Zheng L.C., 2004, Int. J. Appl. Mech. Eng, V9, P795

[10]

ZHENG LC, 1999, DYNAMIC SYSTEMS APPL, V8, P133

← 1 →