Symmetries of boundary layer equations of power-law fluids of second grade

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dc.contributor.authorPakdemirli M.
dc.contributor.authorAksoy Y.
dc.contributor.authorYürüsoy M.
dc.contributor.authorKhalique C.M.
dc.date.accessioned2024-07-22T08:22:03Z
dc.date.available2024-07-22T08:22:03Z
dc.date.issued2008
dc.description.abstractA modified power-law fluid of second grade is considered. The model is a combination of power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviors. The equations of motion are derived for two dimensional incompressible flows, and from which the boundary layer equations are derived. Symmetries of the boundary layer equations are found by using Lie group theory, and then group classification with respect to power-law index is performed. By using one of the symmetries, namely the scaling symmetry, the partial differential system is transformed into an ordinary differential system, which is numerically integrated under the classical boundary layer conditions. Effects of power-law index and second grade coefficient on the boundary layers are shown and solutions are contrasted with the usual second grade fluid solutions. © 2008 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH.
dc.identifier.DOI-ID10.1007/s10409-008-0172-z
dc.identifier.issn05677718
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18891
dc.language.isoEnglish
dc.subjectAerodynamics
dc.subjectAlgebra
dc.subjectBoundary layers
dc.subjectDrag reduction
dc.subjectEquations of motion
dc.subjectFluids
dc.subjectIncompressible flow
dc.subjectMeteorology
dc.subjectTheorem proving
dc.subjectWall flow
dc.subjectFluid solutions
dc.subjectGroup classifications
dc.subjectLie Groups
dc.subjectLiegroup theory
dc.subjectNormal stresses
dc.subjectOrdinary differential systems
dc.subjectPartial differentials
dc.subjectPower-law fluid of second grade
dc.subjectScaling symmetries
dc.subjectShear thickenings
dc.subjectHydrodynamics
dc.titleSymmetries of boundary layer equations of power-law fluids of second grade
dc.typeArticle

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