Lie group analysis of creeping flow of a second grade fluid

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dc.contributor.authorYürüsoy M.
dc.contributor.authorPakdemirli M.
dc.contributor.authorNoyan Ö.F.
dc.date.accessioned2024-07-22T08:25:25Z
dc.date.available2024-07-22T08:25:25Z
dc.date.issued2001
dc.description.abstractThe two-dimensional equations of motion for the slowly flowing second grade fluid are written in cartesian coordinates neglecting the inertial terms. By employing Lie group analysis, the symmetries of the equations are calculated. The Lie algebra consists of four finite parameter Lie group transformations, one being the scaling symmetry and the others being translations. Two different types of solutions are found using the symmetries. Using the translations in x and y coordinates, an exponential type of exact solution is constructed. For the scaling symmetry, the outcoming ordinary differential equations are more involved and only a series type of approximate solution is presented. Finally, some boundary value problems are discussed. © 2001 Elsevier Science Ltd.
dc.identifier.DOI-ID10.1016/S0020-7462(00)00060-3
dc.identifier.issn00207462
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20411
dc.language.isoEnglish
dc.subjectAlgebra
dc.subjectBoundary value problems
dc.subjectEquations of motion
dc.subjectOrdinary differential equations
dc.subjectCreeping flow
dc.subjectLie group analysis
dc.subjectSecond grade fluids
dc.subjectFlow of fluids
dc.titleLie group analysis of creeping flow of a second grade fluid
dc.typeArticle

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