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Steady flow of a power-law fluid past a cylinder
Authors:S J D D'Alessio  J P Pascal
Affiliation:(1) Present address: Applied Mathematics Institute, Department of Mathematical Sciences, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada
Abstract:Summary Considered in this paper is the two-dimensional steady flow of a power-law fluid past a stationary circular cylinder. The governing nonlinear equations, expressed in terms of a stream function and vorticity, were solved by finite differences for Reynolds numbers (based on the radius of the cylinder)R=5,20, 40 for various power-law indices,n. Parameters such as the drag coefficient, separation angle, wake length and critical Reynolds number are presented and contrasted with those of a Newtonian fluid (n=1) to illustrate the non-Newtonian effects. For a given-Reynolds number a consistent behaviour withn was observed in the parameters for the ranges considered. The results obtained for the Newtonian case agree well with documented results.
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