MHD transient flows in a channel of rectangular cross-section with porous medium

M. Khan; C. Fetecau; T. Hayat

doi:10.1016/j.physleta.2007.04.076

MHD transient flows in a channel of rectangular cross-section with porous medium

M. Khan
, C. Fetecau
, T. Hayat

Quaid-I-Azam University

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

40 Scopus citations

Abstract

This Letter analyzes the influence of Hartman number on the flows of an Oldroyd-B fluid in a porous medium. The flow modelling is based on the modified Darcy's law. Exact analytic solutions are obtained for the velocity, volume flux and tangential stresses. The obtained solutions satisfy all the conditions and governing equations. These solutions are found to be significantly affected by the applied magnetic field, material parameters of fluid, porosity and permeability of the medium. Comparison of the present solutions is also made with the existing results. Finally, the graphs are plotted for the variations of emerging parameters and discussed.

Original language	English
Pages (from-to)	44-54
Number of pages	11
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	369
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physleta.2007.04.076
State	Published - 10 Sep 2007
Externally published	Yes

Keywords

Analytic solutions
Magnetohydrodynamic (MHD) flow
Modified Darcy's law
Porous medium

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10.1016/j.physleta.2007.04.076

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title = "MHD transient flows in a channel of rectangular cross-section with porous medium",

abstract = "This Letter analyzes the influence of Hartman number on the flows of an Oldroyd-B fluid in a porous medium. The flow modelling is based on the modified Darcy's law. Exact analytic solutions are obtained for the velocity, volume flux and tangential stresses. The obtained solutions satisfy all the conditions and governing equations. These solutions are found to be significantly affected by the applied magnetic field, material parameters of fluid, porosity and permeability of the medium. Comparison of the present solutions is also made with the existing results. Finally, the graphs are plotted for the variations of emerging parameters and discussed.",

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T1 - MHD transient flows in a channel of rectangular cross-section with porous medium

AU - Khan, M.

AU - Fetecau, C.

AU - Hayat, T.

PY - 2007/9/10

Y1 - 2007/9/10

N2 - This Letter analyzes the influence of Hartman number on the flows of an Oldroyd-B fluid in a porous medium. The flow modelling is based on the modified Darcy's law. Exact analytic solutions are obtained for the velocity, volume flux and tangential stresses. The obtained solutions satisfy all the conditions and governing equations. These solutions are found to be significantly affected by the applied magnetic field, material parameters of fluid, porosity and permeability of the medium. Comparison of the present solutions is also made with the existing results. Finally, the graphs are plotted for the variations of emerging parameters and discussed.

AB - This Letter analyzes the influence of Hartman number on the flows of an Oldroyd-B fluid in a porous medium. The flow modelling is based on the modified Darcy's law. Exact analytic solutions are obtained for the velocity, volume flux and tangential stresses. The obtained solutions satisfy all the conditions and governing equations. These solutions are found to be significantly affected by the applied magnetic field, material parameters of fluid, porosity and permeability of the medium. Comparison of the present solutions is also made with the existing results. Finally, the graphs are plotted for the variations of emerging parameters and discussed.

KW - Analytic solutions

KW - Magnetohydrodynamic (MHD) flow

KW - Modified Darcy's law

KW - Porous medium

UR - https://www.scopus.com/pages/publications/34548291405

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DO - 10.1016/j.physleta.2007.04.076

M3 - Article

AN - SCOPUS:34548291405

SN - 0375-9601

VL - 369

SP - 44

EP - 54

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-2

ER -

MHD transient flows in a channel of rectangular cross-section with porous medium

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Keywords

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