Symmetry reductions of unsteady three-dimensional boundary layers of some non-newtonian fluids

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dc.contributor.authorYürüsoy M.
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:25:59Z
dc.date.available2024-07-22T08:25:59Z
dc.date.issued1997
dc.description.abstractThree-dimensional, unsteady, laminar boundary layer equations of a general model of non-Newtonian fluids are treated. In this model, the shear stresses are considered to be arbitrary functions of velocity gradients. Using Lie Group analysis, the infinitesimal generators accepted by the equations are calculated for the arbitrary shear stress case. The extension of the Lie algebra, for the case of Newtonian fluids, is also presented. A general boundary value problem modeling the flow over a moving surface with suction or injection is considered. The restrictions imposed by the boundary conditions on the generators are calculated. Assuming all flow quantities to be independent of the z-direction, the three-independent-variable partial differential system is converted first into a two-independent-variable system by using two different subgroups of the general group. Lie Group analysis is further applied to the resulting equations, and final reductions to ordinary differential systems are obtained. © 1997 Elsevier Science Ltd.
dc.identifier.DOI-ID10.1016/s0020-7225(96)00115-2
dc.identifier.issn00207225
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20687
dc.language.isoEnglish
dc.publisherElsevier Ltd
dc.subjectBoundary layer flow
dc.subjectBoundary layers
dc.subjectLaminar flow
dc.subjectMathematical models
dc.subjectNewtonian flow
dc.subjectShear stress
dc.subjectThree-dimensional boundary layers
dc.subjectNon Newtonian flow
dc.titleSymmetry reductions of unsteady three-dimensional boundary layers of some non-newtonian fluids
dc.typeArticle

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