A perturbation analysis of the flow of a Powell--Eyring fluid between coaxial cylinders

Michael T Farrugia, John J Shepherd, Andrew J Stacey


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.

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Viscous helical flow; perturbation methods

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DOI: http://dx.doi.org/10.21914/anziamj.v52i0.3748

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