On non-linear flows with slip boundary condition

被引：1

作者：

Hayat, T ^{[1
]}

Khan, M ^{[1
]}

Ayub, M ^{[1
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2005年 / 56卷 / 06期

关键词：

slip boundary condition; non-Newtonian fluid; homotopy analysis method;

D O I：

10.1007/s00033-005-4006-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The assumption that a fluid adheres to a solid boundary ('no-slip' boundary condition) is one of the central tenets of the Navier-Stokes theory. However, there are situations wherein this assumption does not hold. In this communication we examine the effects of slip at the wall when an Oldroyd 6-constant fluid is considered in a channel. The slip assumed depends on the shear stress at the wall. The three non-linear problems are solved using homotopy analysis method (HAM). The results for the velocity profiles are presented and discussed.

引用

页码：1012 / 1029

页数：18

共 50 条

[1] On non-linear flows with slip boundary condition
T. Hayat
Masood Khan
M. Ayub
[J]. Zeitschrift für angewandte Mathematik und Physik ZAMP, 2005, 56 : 1012 - 1029
[2] Boundary Integral Equation Approach for Stokes Flow with Non-Linear Slip Boundary Condition
Nieto, Cesar
Power, Henry
Giraldo, Mauricio
[J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 123 - +
[3] On flows of third-grade fluids with non-linear slip boundary conditions
Le Roux, Christiaan
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (01) : 31 - 41
[4] NON-LINEAR FREE-SURFACE FLOWS AND AN APPLICATION OF THE ORLANSKI BOUNDARY-CONDITION
JAGANNATHAN, S
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1988, 8 (09) : 1051 - 1070
[5] Effects of slip on the non-linear flows of a third grade fluid
Ellahi, R.
Hayat, T.
Mahomed, F. M.
Asghar, S.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 139 - 146
[6] Effects of the slip boundary condition on non-Newtonian flows in a channel
Ellahi, R.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) : 1377 - 1384
[7] Solvability of Pseudoparabolic Equations with Non-Linear Boundary Condition
Berdyshev, A. S.
Aitzhanov, S. E.
Zhumagul, G. O.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (09) : 1772 - 1783
[8] About a problem with a non-linear boundary condition of Neumann
Bogoya, Mauricio
[J]. BOLETIN DE MATEMATICAS, 2013, 20 (01): : 1 - 12
[9] BOUNDARY-CONDITION OPERATOR FOR NON-LINEAR ACOUSTICS
WOODSUM, HC
WESTERVELT, PJ
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (02): : 95 - 95
[10] Solvability of Pseudoparabolic Equations with Non-Linear Boundary Condition
A. S. Berdyshev
S. E. Aitzhanov
G. O. Zhumagul
[J]. Lobachevskii Journal of Mathematics, 2020, 41 : 1772 - 1783

← 1 2 3 4 5 →