Analytical solution for the steady flow of the third grade fluid in a porous half space

T. Hayat; F. Shahzad; M. Ayub

doi:10.1016/j.apm.2006.09.008

Analytical solution for the steady flow of the third grade fluid in a porous half space

T. Hayat
, F. Shahzad
, M. Ayub

Quaid-I-Azam University

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

73 Scopus citations

Abstract

In this study, we model the flow of a third grade fluid in a porous half space. Based on modified Darcy's law, the flow over a suddenly moved flat plate is discussed analytically by using homotopy analysis method (HAM). The influence of various parameters of interest on the velocity profile is seen.

Original language	English
Pages (from-to)	2424-2432
Number of pages	9
Journal	Applied Mathematical Modelling
Volume	31
Issue number	11
DOIs	https://doi.org/10.1016/j.apm.2006.09.008
State	Published - Nov 2007
Externally published	Yes

Keywords

Analytical solution
HAM solution
Modified Darcy's law
Porous space
Third grade fluid

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10.1016/j.apm.2006.09.008

Cite this

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title = "Analytical solution for the steady flow of the third grade fluid in a porous half space",

abstract = "In this study, we model the flow of a third grade fluid in a porous half space. Based on modified Darcy's law, the flow over a suddenly moved flat plate is discussed analytically by using homotopy analysis method (HAM). The influence of various parameters of interest on the velocity profile is seen.",

keywords = "Analytical solution, HAM solution, Modified Darcy's law, Porous space, Third grade fluid",

author = "T. Hayat and F. Shahzad and M. Ayub",

year = "2007",

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doi = "10.1016/j.apm.2006.09.008",

language = "English",

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journal = "Applied Mathematical Modelling",

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AU - Hayat, T.

AU - Shahzad, F.

AU - Ayub, M.

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N2 - In this study, we model the flow of a third grade fluid in a porous half space. Based on modified Darcy's law, the flow over a suddenly moved flat plate is discussed analytically by using homotopy analysis method (HAM). The influence of various parameters of interest on the velocity profile is seen.

AB - In this study, we model the flow of a third grade fluid in a porous half space. Based on modified Darcy's law, the flow over a suddenly moved flat plate is discussed analytically by using homotopy analysis method (HAM). The influence of various parameters of interest on the velocity profile is seen.

KW - Analytical solution

KW - HAM solution

KW - Modified Darcy's law

KW - Porous space

KW - Third grade fluid

UR - https://www.scopus.com/pages/publications/34250025191

U2 - 10.1016/j.apm.2006.09.008

DO - 10.1016/j.apm.2006.09.008

M3 - Article

AN - SCOPUS:34250025191

SN - 0307-904X

VL - 31

SP - 2424

EP - 2432

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 11

ER -

Analytical solution for the steady flow of the third grade fluid in a porous half space

Abstract

Keywords

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