Similarity analysis of boundary layer equations of a class of non-Newtonian fluids

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dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:26:00Z
dc.date.available2024-07-22T08:26:00Z
dc.date.issued1994
dc.description.abstractA similarity analysis of three-dimensional boundary layer equations of a class of non-Newtonian fluids in which the stress is an arbitrary function of rates of strain is made. It is shown that under scaling transformation, for an arbitrary stress function, only 90° of wedge flow leads to similarity solutions, whereas for a specific more restricted form, similarity solutions exist for arbitrary wedge angles. In the case of spiral group transformation, no similarity solutions exist if we force the stress function to remain arbitrary after the transformation, whereas for a specific more restricted form, similarity solutions exist for arbitrary wedge angles. For both transformations, similarity equations for power-law and Newtonian fluids are presented as special cases of the analysis. Finally the conditions for invariance and the form of the stress function for a two-dimensional case are also presented. © 1994.
dc.identifier.DOI-ID10.1016/0020-7462(94)90037-X
dc.identifier.issn00207462
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20708
dc.language.isoEnglish
dc.subjectBoundary layer flow
dc.subjectMathematical models
dc.subjectMathematical transformations
dc.subjectNon Newtonian flow
dc.subjectNonlinear equations
dc.subjectNumerical analysis
dc.subjectStrain
dc.subjectStress analysis
dc.subjectStresses
dc.subjectArbitrary stress function
dc.subjectArbitrary wedge angles
dc.subjectBoundary layer equations
dc.subjectScaling transformation
dc.subjectNon Newtonian liquids
dc.titleSimilarity analysis of boundary layer equations of a class of non-Newtonian fluids
dc.typeArticle

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