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Computational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable properties

dc.contributor.authorMoitsheki, R. J.en_ZA
dc.contributor.authorMakinde, O. D.en_ZA
dc.date.accessioned2014-07-07T12:12:50Z
dc.date.available2014-07-07T12:12:50Z
dc.date.issued2013
dc.identifier.citationAdvances in Mechanical Engineering
dc.identifier.citation2013
dc.identifier.citationMoitsheki, R. J. & Makinde, O. D. 2013. Computational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable properties. Advances in Mechanical Engineering, Article ID 983962, doi:10.1155/2013/983962.
dc.identifier.issn1687-8140 (online)
dc.identifier.otherdoi:10.1155/2013/983962
dc.identifier.urihttp://hdl.handle.net/10019.1/92155
dc.descriptionCITATION: Moitsheki, R. J. & Makinde, O. D. 2013. Computational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable properties. Advances in Mechanical Engineering, Article ID 983962, doi:10.1155/2013/983962.
dc.descriptionThe original publication is available at https://journals.sagepub.com
dc.description.abstractWe consider a system of coupled partial differential equations describing transient fluid flow and heat transfer with variable flow properties. Classical Lie point symmetry analysis of this system resulted in admitted large Lie algebras for some special cases of the arbitrary constants and the source term. Symmetry reductions are performed and as such the system of partial differential equations is reduced to the system of ordinary differential equations. Some reduced ordinary differential equation could be solved exactly with restrictions on the parameters appearing in it. In addition, shooting quadrature is employed to numerically tackle the nonlinear model boundary value problem and pertinent results are presented graphically and discussed quantitatively
dc.description.urihttps://journals.sagepub.com/doi/10.1155/2013/983962
dc.format.extent8 pages
dc.language.isoen
dc.publisherHindawi
dc.subjectEngineering -- Mathematical modelsen_ZA
dc.subjectHeaten_ZA
dc.titleComputational modelling and similarity reduction of equations for transient fluid flow and heat transfer with variable propertiesen_ZA
dc.typeArticle
dc.rights.holderAuthors retain copyright


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