Lie-group analysis of boundary-layer equations of non-Newtonian fluids

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dc.contributor.authorYürüsoy M.
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:25:47Z
dc.date.available2024-07-22T08:25:47Z
dc.date.issued1997
dc.description.abstractTwo-dimensional unsteady boundary-layer equations of a general model of non-Newtonian fluids were investigated in this study. In this model, the shear stress is taken as an arbitrary function of the velocity gradient. The infinitesimal generators accepted by the equations were calculated using Lie Group analysis for three cases: 1) Arbitrary shear-stress function 2) Newtonian fluids 3) Power-Law fluids. Three different boundary-value problems with initial conditions were considered and the restrictions they impose on the infinitesimal generators of the arbitrary shear-stress case were calculated. The problems investigated were flow over a surface, flow due to sheet-stretching and flow with suction or injection. Using scaling symmetry, the equations and boundary conditons were transformed into a partial differential system with two variables. Lie Groups were further applied to these equations It is shown that the equations do not possess any further symmetry and. hence, the three boundary-value problems can only be solved numerically. A numerical treatment of the two-independent-variable partial-differential system would be easier than the original three-independent-variable partial-differential system.
dc.identifier.issn13000160
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20573
dc.language.isoEnglish
dc.subjectanalysis
dc.subjectboundary layer
dc.subjectequation
dc.subjectnon-Newtonian fluid
dc.subjectpower law fluid
dc.subjectBoundary layer flow
dc.subjectBoundary value problems
dc.subjectMathematical models
dc.subjectMathematical transformations
dc.subjectNumerical analysis
dc.subjectPartial differential equations
dc.subjectShear stress
dc.subjectboundary layers
dc.subjectflow modelling
dc.subjectLie Group analysis
dc.subjectnon-Newtonian fluids
dc.subjectBoundary layer equations
dc.subjectLie Group analysis
dc.subjectPower law fluids
dc.subjectScaling symmetry
dc.subjectNon Newtonian liquids
dc.titleLie-group analysis of boundary-layer equations of non-Newtonian fluids
dc.typeArticle

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