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Helical flow of a power-law fluid between coaxial cylinders with small radial separation. (English) Zbl 1017.76006
Summary: The steady helical flow of an incompressible power-law fluid in the region between infinitely long coaxial circular cylinders is analyzed, in the case when the intercylindrical gap is small in an appropriate sense. A perturbation method based on a scaled form of intercylindrical gap size as perturbation parameter is applied to give leading-order expressions for the components of velocity field, as well as for other quantities related to the flow. The results of this analysis are compared with those obtained from a full numerical solution of flow equations for fluids of practical interest.

76A05 Non-Newtonian fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics