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Boundary layer flow of power-law fluids past arbitrary profiles. (English) Zbl 0773.76004
Summary: Two-dimensional steady-state boundary layer equations of power-law fluids are derived using a special coordinate system which makes the equations independent of the body shape immersed in the flow. In deriving the boundary layer equations, the method of matched asymptotic expansions is used. It is shown that the similarity solutions for power-law fluids are much the same as those of Newtonian fluids. Similarity solutions corresponding to the case of parallel flow past a flat plate and stagnation-point flow are presented. Finally, the shear stress is calculated for different geometries.

MSC:
76A05 Non-Newtonian fluids
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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