On the analytic solution of the steady flow of a fourth grade fluid

M. Sajid; T. Hayat; S. Asghar

doi:10.1016/j.physleta.2006.01.092

On the analytic solution of the steady flow of a fourth grade fluid

M. Sajid
, T. Hayat
, S. Asghar

Quaid-I-Azam University
Pakistan Atomic Energy Commission
COMSATS University Islamabad

Research output: Contribution to journal › Article › peer-review

181 Scopus citations

Abstract

The steady flow of a fourth grade fluid is a problem belonging to non-Newtonian fluid mechanics and deserves to be more widely studied than it has been to date. In the non-linear regime the literature is scarce. We develop a formulation suitable for solution of hydrodynamic equation containing non-linear rheological effects of fourth grade fluids. The homotopy analysis method (HAM) is used to investigate the flow of a fourth grade fluid past a porous plate. Explicit analytic solution is given. The non-linear effects on the velocity distribution is shown and discussed. Comparison of the present analysis is also made with the existing results in the literature.

Original language	English
Pages (from-to)	18-26
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	355
Issue number	1
DOIs	https://doi.org/10.1016/j.physleta.2006.01.092
State	Published - 19 Jun 2006
Externally published	Yes

Keywords

Fourth grade fluid
HAM solution
Porous plate

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10.1016/j.physleta.2006.01.092

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abstract = "The steady flow of a fourth grade fluid is a problem belonging to non-Newtonian fluid mechanics and deserves to be more widely studied than it has been to date. In the non-linear regime the literature is scarce. We develop a formulation suitable for solution of hydrodynamic equation containing non-linear rheological effects of fourth grade fluids. The homotopy analysis method (HAM) is used to investigate the flow of a fourth grade fluid past a porous plate. Explicit analytic solution is given. The non-linear effects on the velocity distribution is shown and discussed. Comparison of the present analysis is also made with the existing results in the literature.",

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T1 - On the analytic solution of the steady flow of a fourth grade fluid

AU - Sajid, M.

AU - Hayat, T.

AU - Asghar, S.

PY - 2006/6/19

Y1 - 2006/6/19

N2 - The steady flow of a fourth grade fluid is a problem belonging to non-Newtonian fluid mechanics and deserves to be more widely studied than it has been to date. In the non-linear regime the literature is scarce. We develop a formulation suitable for solution of hydrodynamic equation containing non-linear rheological effects of fourth grade fluids. The homotopy analysis method (HAM) is used to investigate the flow of a fourth grade fluid past a porous plate. Explicit analytic solution is given. The non-linear effects on the velocity distribution is shown and discussed. Comparison of the present analysis is also made with the existing results in the literature.

AB - The steady flow of a fourth grade fluid is a problem belonging to non-Newtonian fluid mechanics and deserves to be more widely studied than it has been to date. In the non-linear regime the literature is scarce. We develop a formulation suitable for solution of hydrodynamic equation containing non-linear rheological effects of fourth grade fluids. The homotopy analysis method (HAM) is used to investigate the flow of a fourth grade fluid past a porous plate. Explicit analytic solution is given. The non-linear effects on the velocity distribution is shown and discussed. Comparison of the present analysis is also made with the existing results in the literature.

KW - Fourth grade fluid

KW - HAM solution

KW - Porous plate

UR - https://www.scopus.com/pages/publications/33646702186

U2 - 10.1016/j.physleta.2006.01.092

DO - 10.1016/j.physleta.2006.01.092

M3 - Article

AN - SCOPUS:33646702186

SN - 0375-9601

VL - 355

SP - 18

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1

ER -

On the analytic solution of the steady flow of a fourth grade fluid

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Keywords

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