Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law

M. Khan; T. Hayat; S. Asghar

doi:10.1016/j.ijengsci.2005.12.004

Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law

M. Khan
, T. Hayat
, S. Asghar

Quaid-I-Azam University
COMSATS University Islamabad

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

144 Scopus citations

Abstract

This paper deals with an exact solution for the magnetohydrodynamic (MHD) flow of a generalized Oldroyd-B fluid in a circular pipe. For the description of such a fluid, the fractional calculus approach has been used throughout the analysis. Based on modified Darcy's law for generalized Oldroyd-B fluid, the velocity field is calculated analytically. Several known solutions can be recovered as the limiting cases of our solution.

Original language	English
Pages (from-to)	333-339
Number of pages	7
Journal	International Journal of Engineering Science
Volume	44
Issue number	5-6
DOIs	https://doi.org/10.1016/j.ijengsci.2005.12.004
State	Published - Mar 2006
Externally published	Yes

Keywords

Constitutive equation
Exact solution
Fractional derivative
Modified Darcy's law

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10.1016/j.ijengsci.2005.12.004

Cite this

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title = "Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law",

abstract = "This paper deals with an exact solution for the magnetohydrodynamic (MHD) flow of a generalized Oldroyd-B fluid in a circular pipe. For the description of such a fluid, the fractional calculus approach has been used throughout the analysis. Based on modified Darcy's law for generalized Oldroyd-B fluid, the velocity field is calculated analytically. Several known solutions can be recovered as the limiting cases of our solution.",

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author = "M. Khan and T. Hayat and S. Asghar",

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AU - Hayat, T.

AU - Asghar, S.

PY - 2006/3

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N2 - This paper deals with an exact solution for the magnetohydrodynamic (MHD) flow of a generalized Oldroyd-B fluid in a circular pipe. For the description of such a fluid, the fractional calculus approach has been used throughout the analysis. Based on modified Darcy's law for generalized Oldroyd-B fluid, the velocity field is calculated analytically. Several known solutions can be recovered as the limiting cases of our solution.

AB - This paper deals with an exact solution for the magnetohydrodynamic (MHD) flow of a generalized Oldroyd-B fluid in a circular pipe. For the description of such a fluid, the fractional calculus approach has been used throughout the analysis. Based on modified Darcy's law for generalized Oldroyd-B fluid, the velocity field is calculated analytically. Several known solutions can be recovered as the limiting cases of our solution.

KW - Constitutive equation

KW - Exact solution

KW - Fractional derivative

KW - Modified Darcy's law

UR - https://www.scopus.com/pages/publications/33646705185

U2 - 10.1016/j.ijengsci.2005.12.004

DO - 10.1016/j.ijengsci.2005.12.004

M3 - Article

AN - SCOPUS:33646705185

SN - 0020-7225

VL - 44

SP - 333

EP - 339

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 5-6

ER -

Exact solution for MHD flow of a generalized Oldroyd-B fluid with modified Darcy's law

Abstract

Keywords

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