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A perturbation analysis of the flow of a Powell-Eyring fluid between coaxial cylinders. (English) Zbl 1386.76009
Summary: The Powell-Eyring generalised viscous fluid model was developed to model the flow of viscous inelastic shear thinning fluids, such as polymer melts and suspensions of solids in non-Newtonian solvents. We consider the helical flow of a Powell-Eyring fluid between infinitely long coaxial cylinders. Such a flow is of relevance to a number of applications, including rheometry. We show that a perturbation approach to the flow problem yields simple explicit expressions for the fluid velocity field, which may then be applied to obtain approximations to other features of the flow.

76A05 Non-Newtonian fluids
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