The unsteady flow of a fourth-grade fluid past a porous plate

T. Hayat; A. H. Kara; E. Momoniat

doi:10.1016/j.mcm.2004.01.010

The unsteady flow of a fourth-grade fluid past a porous plate

T. Hayat, A. H. Kara, E. Momoniat

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

24 Citations (Scopus)

Abstract

The unsteady flow of a hydrodynamic fluid past a porous plate is examined. The constitutive equations of the fluid are modelled by those for a fourth-grade fluid. They give rise to a boundary value problem consisting of a fifth-order differential equation but there are only two boundary conditions. With the augmentation of boundary conditions at infinity, it is possible to obtain a solution by implementation of the Lie group method.

Original language	English
Pages (from-to)	1347-1353
Number of pages	7
Journal	Mathematical and Computer Modelling
Volume	41
Issue number	11-12
DOIs	https://doi.org/10.1016/j.mcm.2004.01.010
Publication status	Published - May 2005
Externally published	Yes

Keywords

Fourth-grade fluid
Lie symmetries
Unsteady flow

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/j.mcm.2004.01.010

Cite this

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abstract = "The unsteady flow of a hydrodynamic fluid past a porous plate is examined. The constitutive equations of the fluid are modelled by those for a fourth-grade fluid. They give rise to a boundary value problem consisting of a fifth-order differential equation but there are only two boundary conditions. With the augmentation of boundary conditions at infinity, it is possible to obtain a solution by implementation of the Lie group method.",

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AU - Kara, A. H.

AU - Momoniat, E.

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AB - The unsteady flow of a hydrodynamic fluid past a porous plate is examined. The constitutive equations of the fluid are modelled by those for a fourth-grade fluid. They give rise to a boundary value problem consisting of a fifth-order differential equation but there are only two boundary conditions. With the augmentation of boundary conditions at infinity, it is possible to obtain a solution by implementation of the Lie group method.

KW - Fourth-grade fluid

KW - Lie symmetries

KW - Unsteady flow

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ER -

The unsteady flow of a fourth-grade fluid past a porous plate

Abstract

Keywords

ASJC Scopus subject areas

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