Similarity Flow Solutions of a Non-Newtonian Power-law Fluid

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dc.creatorGuedda, Mohamed
dc.creatorHammouch, Zakia
dc.date2009-04-02
dc.date.accessioned2026-07-07T12:59:32Z
dc.date.available2026-07-07T12:59:32Z
dc.descriptionIn this paper we present a mathematical analysis for a steady-state laminar boundary layer flow, governed by the Ostwald-de Wael power-law model of an incompressible non- Newtonian fluid past a semi-infinite power-law stretched flat plate with uniform free stream velocity. A generalization of the usual Blasius similarity transformation is used to find similarity solutions [1]. Under appropriate assumptions, partial differential equations are transformed into an autonomous third-order nonlinear degenerate ordinary differential equation with boundary conditions. Using a shooting method, we establish the existence of an infinite number of global unbounded solutions. The asymptotic behavior is also discussed. Some properties of those solutions depend on the viscosity power-law index.
dc.identifierhttps://arxiv.org/abs/0904.0315
dc.identifierhttp://arxiv.org/abs/0904.0315
dc.identifierInternational Journal of Nonlinear Science 6, 3 (2008) 255-264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225604
dc.subjectClassical Physics
dc.subjectClassical Analysis and ODEs
dc.titleSimilarity Flow Solutions of a Non-Newtonian Power-law Fluid
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