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On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects

In this article, a combination of Lie symmetry and homotopy analysis methods (HAM) are used to obtain solutions for the unsteady magnetohydrodynamics flow of an incompressible, electrically conducting third grade fluid, bounded by an infinite porous plate in the presence of Hall current. In particul...

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Main Authors: Fakhar, Kamran, Kara, A. H., Khan, I., Sajid, M.
Format: Article
Language:English
Published: Elsevier Limited 2011
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/29670/1/NorasikinOthman2011_RemovalofRed3BSDyefromWastewaterusingEmulsion.pdf
http://eprints.utm.my/id/eprint/29670/
http://dx.doi.org/10.1016/j.camwa.2010.12.046
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spelling my.utm.296702019-04-25T01:18:23Z http://eprints.utm.my/id/eprint/29670/ On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects Fakhar, Kamran Kara, A. H. Khan, I. Sajid, M. Q Science In this article, a combination of Lie symmetry and homotopy analysis methods (HAM) are used to obtain solutions for the unsteady magnetohydrodynamics flow of an incompressible, electrically conducting third grade fluid, bounded by an infinite porous plate in the presence of Hall current. In particular, similarity reductions are performed on the governing equations in its complex scalar and corresponding vector system forms. Also, nontrivial conservation laws, using the multiplier approach, are constructed for the complex scalar equation. Furthermore, a comparison of the results with numerical results already existing in the literature is done. The analytical solutions are presented through graphs by choosing a range of the relevant physical parameters. The underlying calculations were obtained via a combination of software packages in Mathematica and Maple, in particular, for the Lie symmetry generators, Euler Lagrange operators and homotopy operators; the latter being towards the construction of the conserved flows. Elsevier Limited 2011-02 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/29670/1/NorasikinOthman2011_RemovalofRed3BSDyefromWastewaterusingEmulsion.pdf Fakhar, Kamran and Kara, A. H. and Khan, I. and Sajid, M. (2011) On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects. Computers and Mathematics with Applications, 61 (4). pp. 980-987. ISSN 0898-1221 http://dx.doi.org/10.1016/j.camwa.2010.12.046 DOI:10.1016/j.camwa.2010.12.046
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic Q Science
spellingShingle Q Science
Fakhar, Kamran
Kara, A. H.
Khan, I.
Sajid, M.
On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects
description In this article, a combination of Lie symmetry and homotopy analysis methods (HAM) are used to obtain solutions for the unsteady magnetohydrodynamics flow of an incompressible, electrically conducting third grade fluid, bounded by an infinite porous plate in the presence of Hall current. In particular, similarity reductions are performed on the governing equations in its complex scalar and corresponding vector system forms. Also, nontrivial conservation laws, using the multiplier approach, are constructed for the complex scalar equation. Furthermore, a comparison of the results with numerical results already existing in the literature is done. The analytical solutions are presented through graphs by choosing a range of the relevant physical parameters. The underlying calculations were obtained via a combination of software packages in Mathematica and Maple, in particular, for the Lie symmetry generators, Euler Lagrange operators and homotopy operators; the latter being towards the construction of the conserved flows.
format Article
author Fakhar, Kamran
Kara, A. H.
Khan, I.
Sajid, M.
author_facet Fakhar, Kamran
Kara, A. H.
Khan, I.
Sajid, M.
author_sort Fakhar, Kamran
title On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects
title_short On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects
title_full On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects
title_fullStr On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects
title_full_unstemmed On the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with Hall effects
title_sort on the computation of analytical solutions of an unsteady magnetohydrodynamics flow of a third grade fluid with hall effects
publisher Elsevier Limited
publishDate 2011
url http://eprints.utm.my/id/eprint/29670/1/NorasikinOthman2011_RemovalofRed3BSDyefromWastewaterusingEmulsion.pdf
http://eprints.utm.my/id/eprint/29670/
http://dx.doi.org/10.1016/j.camwa.2010.12.046
_version_ 1643648350877122560
score 13.211869

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