Similarity solutions and conservation laws for rotating flows of an Oldroyd-B fluid
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Indian Association for the Cultivation of Science
2014
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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 |
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Conservation laws Oldroyd-B fluid Similarity solutions Symmetry reduction |
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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 |
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Link to publisher's homepage at www.iacs.res.in/ |
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kamran@unimap.edu.my |
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kamran@unimap.edu.my Kamran, Fakhar Kara, Abdulhamid Morris, Richard T., Hayat |
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Article |
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Kamran, Fakhar Kara, Abdulhamid Morris, Richard T., Hayat |
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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 |
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similarity solutions and conservation laws for rotating flows of an oldroyd-b fluid |
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Indian Association for the Cultivation of Science |
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2014 |
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http://dspace.unimap.edu.my:80/dspace/handle/123456789/34120 |
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1643797398559916032 |
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13.214268 |