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

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

2009-04-02

arxiv.org/abs/0904.0315v1

International Journal of Nonlinear Science 6, 3 (2008) 255-264

Physics

Classical Physics

Scientific paper

In 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.

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