Oscillatory flows of second grade fluid in a porous space

M. Hussain; T. Hayat; S. Asghar; C. Fetecau

doi:10.1016/j.nonrwa.2009.07.016

Oscillatory flows of second grade fluid in a porous space

M. Hussain
, T. Hayat
, S. Asghar
, C. Fetecau

National University of Computer and Emerging Science
Quaid-I-Azam University
COMSATS University Islamabad
Gh. Asachi Technical University

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

57 Scopus citations

Abstract

The exact analytical solutions are developed for the magnetohydrodynamic (MHD) flows of the second grade fluid in a porous medium. The analysis is performed using modified Darcy's law and takes into account the effect of the Hall current. Closed form solutions are given for three problems using the Fourier sine transform. Comparison has been made with the existing results and are found to be in excellent agreement. The graphs are plotted for various emerging parameters and discussed.

Original language	English
Pages (from-to)	2403-2414
Number of pages	12
Journal	Nonlinear Analysis: Real World Applications
Volume	11
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2009.07.016
State	Published - Aug 2010
Externally published	Yes

Keywords

Exact solutions
Oscillatory flows
Porous space
Second grade fluid

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10.1016/j.nonrwa.2009.07.016

Cite this

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abstract = "The exact analytical solutions are developed for the magnetohydrodynamic (MHD) flows of the second grade fluid in a porous medium. The analysis is performed using modified Darcy's law and takes into account the effect of the Hall current. Closed form solutions are given for three problems using the Fourier sine transform. Comparison has been made with the existing results and are found to be in excellent agreement. The graphs are plotted for various emerging parameters and discussed.",

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AB - The exact analytical solutions are developed for the magnetohydrodynamic (MHD) flows of the second grade fluid in a porous medium. The analysis is performed using modified Darcy's law and takes into account the effect of the Hall current. Closed form solutions are given for three problems using the Fourier sine transform. Comparison has been made with the existing results and are found to be in excellent agreement. The graphs are plotted for various emerging parameters and discussed.

KW - Exact solutions

KW - Oscillatory flows

KW - Porous space

KW - Second grade fluid

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M3 - Article

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JO - Nonlinear Analysis: Real World Applications

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ER -

Oscillatory flows of second grade fluid in a porous space

Abstract

Keywords

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