Exact flow of a third grade fluid past a porous plate using homotopy analysis method

被引：182

作者：

Ayub, M ^{[1
]}

Rasheed, A ^{[1
]}

Hayat, T ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2003年 / 41卷 / 18期

关键词：

third grade fluid; exact solution; suction flow; homotopy analysis method;

D O I：

10.1016/S0020-7225(03)00207-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The flow of a third grade fluid past a porous plate is considered. An exact analytical solution of the governing non-linear differential equation is constructed using homotopy analysis method. It is observed that the relevant perturbation solution corresponds to a special case of the presented solution. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：2091 / 2103

页数：13

共 28 条

[1] DULD A, 1972, LECT ALGEBRAIC TOPOL
[2] THERMODYNAMICS, STABILITY, AND BOUNDEDNESS OF FLUIDS OF COMPLEXITY-2 AND FLUIDS OF SECOND GRADE
DUNN, JE
FOSDICK, RL
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1974, 56 (03) : 191 - 252
[3] PLANE SURFACE SUDDENLY SET IN MOTION IN A NON-NEWTONIAN FLUID
ERDOGAN, ME
[J]. ACTA MECHANICA, 1995, 108 (1-4) : 179 - 187
[4] THERMODYNAMICS AND STABILITY OF FLUIDS OF 3RD GRADE
FOSDICK, RL
RAJAGOPAL, KR
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1980, 369 (1738): : 351 - 377
[5] MHD rotating flow of a third-grade fluid on an oscillating porous plate
Hayat, T
Nadeem, S
Asghar, S
Siddiqui, AM
[J]. ACTA MECHANICA, 2001, 152 (1-4) : 177 - 190
[6] LIAO SJ, 1992, J SHIP RES, V36, P30
[7] HIGHER-ORDER STREAMFUNCTION-VORTICITY FORMULATION OF 2D STEADY-STATE NAVIER-STOKES EQUATIONS
LIAO, SJ
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1992, 15 (05) : 595 - 612
[8] An analytic approximate technique for free oscillations of positively damped systems with algebraically decaying amplitude
Liao, SJ
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (08) : 1173 - 1183
[9] AN APPROXIMATE SOLUTION TECHNIQUE NOT DEPENDING ON SMALL PARAMETERS - A SPECIAL EXAMPLE
LIAO, SJ
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1995, 30 (03) : 371 - 380
[10] A 2ND-ORDER APPROXIMATE ANALYTICAL SOLUTION OF A SIMPLE PENDULUM BY THE PROCESS ANALYSIS METHOD
LIAO, SJ
[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1992, 59 (04): : 970 - 975

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