A note on decay of potential vortex in an Oldroyd-B fluid through a porous space

M. Husain; T. Hayat; C. Fetecau

doi:10.1016/j.nonrwa.2008.03.021

A note on decay of potential vortex in an Oldroyd-B fluid through a porous space

M. Husain
, T. Hayat
, C. Fetecau

Quaid-I-Azam University
Gh. Asachi Technical University

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

8 Scopus citations

Abstract

The problem of decay of a potential vortex in an Oldroyd-B fluid filling the porous space is studied. The flow problem is first modeled and then solved by employing the Hankel transform. Analytical expressions of the velocity field and the associated tangential tension are developed. The well known solutions for a Newtonian fluid as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of the present solutions. Finally, some graphical results describing the influence of porous space parameters are sketched and interpreted.

Original language	English
Pages (from-to)	2133-2138
Number of pages	6
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2008.03.021
State	Published - Aug 2009
Externally published	Yes

Keywords

Exact solutions
Hankel transform
Modified Darcy's law
Tangential tension

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10.1016/j.nonrwa.2008.03.021

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abstract = "The problem of decay of a potential vortex in an Oldroyd-B fluid filling the porous space is studied. The flow problem is first modeled and then solved by employing the Hankel transform. Analytical expressions of the velocity field and the associated tangential tension are developed. The well known solutions for a Newtonian fluid as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of the present solutions. Finally, some graphical results describing the influence of porous space parameters are sketched and interpreted.",

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AU - Husain, M.

AU - Hayat, T.

AU - Fetecau, C.

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N2 - The problem of decay of a potential vortex in an Oldroyd-B fluid filling the porous space is studied. The flow problem is first modeled and then solved by employing the Hankel transform. Analytical expressions of the velocity field and the associated tangential tension are developed. The well known solutions for a Newtonian fluid as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of the present solutions. Finally, some graphical results describing the influence of porous space parameters are sketched and interpreted.

AB - The problem of decay of a potential vortex in an Oldroyd-B fluid filling the porous space is studied. The flow problem is first modeled and then solved by employing the Hankel transform. Analytical expressions of the velocity field and the associated tangential tension are developed. The well known solutions for a Newtonian fluid as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of the present solutions. Finally, some graphical results describing the influence of porous space parameters are sketched and interpreted.

KW - Exact solutions

KW - Hankel transform

KW - Modified Darcy's law

KW - Tangential tension

UR - https://www.scopus.com/pages/publications/61749098997

U2 - 10.1016/j.nonrwa.2008.03.021

DO - 10.1016/j.nonrwa.2008.03.021

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AN - SCOPUS:61749098997

SN - 1468-1218

VL - 10

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EP - 2138

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 4

ER -

A note on decay of potential vortex in an Oldroyd-B fluid through a porous space

Abstract

Keywords

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