Travelling wave solutions to Stokes' problem for a fourth grade fluid

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

doi:10.1016/j.apm.2008.02.014

Travelling wave solutions to Stokes' problem for a fourth grade fluid

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

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

19 Citations (Scopus)

Abstract

A non-linear partial differential equation modelling the flow of a fourth-grade fluid is derived. Both analytical and numerical travelling wave solutions admitted by the model equation are obtained.

Original language	English
Pages (from-to)	1613-1619
Number of pages	7
Journal	Applied Mathematical Modelling
Volume	33
Issue number	3
DOIs	https://doi.org/10.1016/j.apm.2008.02.014
Publication status	Published - Mar 2009
Externally published	Yes

Keywords

Fourth grade fluid
Lie point symmetries
Numerical solution
Stokes' problem

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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10.1016/j.apm.2008.02.014

Cite this

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title = "Travelling wave solutions to Stokes' problem for a fourth grade fluid",

abstract = "A non-linear partial differential equation modelling the flow of a fourth-grade fluid is derived. Both analytical and numerical travelling wave solutions admitted by the model equation are obtained.",

keywords = "Fourth grade fluid, Lie point symmetries, Numerical solution, Stokes' problem",

author = "T. Hayat and Kara, \{A. H.\} and E. Momoniat",

year = "2009",

month = mar,

doi = "10.1016/j.apm.2008.02.014",

language = "English",

volume = "33",

pages = "1613--1619",

journal = "Applied Mathematical Modelling",

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AU - Hayat, T.

AU - Kara, A. H.

AU - Momoniat, E.

PY - 2009/3

Y1 - 2009/3

N2 - A non-linear partial differential equation modelling the flow of a fourth-grade fluid is derived. Both analytical and numerical travelling wave solutions admitted by the model equation are obtained.

AB - A non-linear partial differential equation modelling the flow of a fourth-grade fluid is derived. Both analytical and numerical travelling wave solutions admitted by the model equation are obtained.

KW - Fourth grade fluid

KW - Lie point symmetries

KW - Numerical solution

KW - Stokes' problem

UR - https://www.scopus.com/pages/publications/55549111597

U2 - 10.1016/j.apm.2008.02.014

DO - 10.1016/j.apm.2008.02.014

M3 - Article

AN - SCOPUS:55549111597

SN - 0307-904X

VL - 33

SP - 1613

EP - 1619

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 3

ER -

Travelling wave solutions to Stokes' problem for a fourth grade fluid

Abstract

Keywords

ASJC Scopus subject areas

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