Boundary layer equations and stretching sheet solutions for the modified second grade fluid

dc.contributor.authorAksoy, Y
dc.contributor.authorPakdemirli, M
dc.contributor.authorKhalique, CM
dc.date.accessioned2024-07-18T11:52:08Z
dc.date.available2024-07-18T11:52:08Z
dc.description.abstractA modified second grade non-Newtonian fluid model is considered. The model is a combination of power-law and second grade fluids 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. The boundary layer equations are derived from the equations. Symmetries of the boundary layer equations are calculated using Lie Group theory. For a special power law index of m = - 1, the principal Lie algebra extends. Using one of the symmetries, the partial differential system is transferred to an ordinary differential system. The ordinary differential equations are numerically integrated for the stretching sheet boundary 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. The shear stress on the boundary is also calculated. (C) 2007 Elsevier Ltd. All rights reserved.
dc.identifier.issn0020-7225
dc.identifier.other1879-2197
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/5391
dc.language.isoEnglish
dc.publisherPERGAMON-ELSEVIER SCIENCE LTD
dc.subjectNON-NEWTONIAN FLUID
dc.subjectVISCOELASTIC FLUID
dc.subject2ND-ORDER FLUID
dc.subjectPOROUS PLATE
dc.subjectFLOW
dc.subjectVISCOSITY
dc.subjectGRADE
dc.subjectSTABILITY
dc.subject2ND
dc.titleBoundary layer equations and stretching sheet solutions for the modified second grade fluid
dc.typeArticle

Files