Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid

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Main Authors: Kamran, Fakhar, Kara, Abdulhamid, Morris, Richard, T., Hayat
Other Authors: kamran@unimap.edu.my
Format: Article
Language:English
Published: Indian Association for the Cultivation of Science 2014
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Online Access:http://dspace.unimap.edu.my:80/dspace/handle/123456789/34120
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spelling my.unimap-341202014-04-28T14:29:42Z Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid Kamran, Fakhar Kara, Abdulhamid Morris, Richard T., Hayat kamran@unimap.edu.my Abdul.Kara@wits.ac.za Conservation laws Oldroyd-B fluid Similarity solutions Symmetry reduction Link to publisher's homepage at www.iacs.res.in/‎ In this paper, similarity reduction arising from classical Lie point symmetries of unsteady hydromagnetic flows of a rotating Oldroyd-B fluid under influence of Hall currents is carried out. By employing different combinations of translation and rotational symmetries, a class of new exact solutions under certain initial and boundary conditions has been obtained. A detailed comparative study of these solutions for different cases in perspective of previous literature is also presented. Solutions in existing literature have turned out to be special cases of similarity solutions obtained here. Finally, some nontrivial conservation laws of underlying system of the model are computed. 2014-04-28T14:29:42Z 2014-04-28T14:29:42Z 2013-10 Article Indian Journal of Physics, vol. 87(10), 2013, pages 1035-1040 0973-1458 http://link.springer.com/article/10.1007%2Fs12648-013-0330-4 http://dspace.unimap.edu.my:80/dspace/handle/123456789/34120 en Indian Association for the Cultivation of Science
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Conservation laws
Oldroyd-B fluid
Similarity solutions
Symmetry reduction
spellingShingle Conservation laws
Oldroyd-B fluid
Similarity solutions
Symmetry reduction
Kamran, Fakhar
Kara, Abdulhamid
Morris, Richard
T., Hayat
Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
description Link to publisher's homepage at www.iacs.res.in/‎
author2 kamran@unimap.edu.my
author_facet kamran@unimap.edu.my
Kamran, Fakhar
Kara, Abdulhamid
Morris, Richard
T., Hayat
format Article
author Kamran, Fakhar
Kara, Abdulhamid
Morris, Richard
T., Hayat
author_sort Kamran, Fakhar
title Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
title_short Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
title_full Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
title_fullStr Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
title_full_unstemmed Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
title_sort similarity solutions and conservation laws for rotating flows of an oldroyd-b fluid
publisher Indian Association for the Cultivation of Science
publishDate 2014
url http://dspace.unimap.edu.my:80/dspace/handle/123456789/34120
_version_ 1643797398559916032
score 13.214268