Shepherd, John J.; Connell, Howard J. Helical flow of a power-law fluid between coaxial cylinders with small radial separation. (English) Zbl 1017.76006 Int. Math. J. 1, No. 2, 105-131 (2002). 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. Cited in 1 Document MSC: 76A05 Non-Newtonian fluids 76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics Keywords:small gap size; steady helical flow; incompressible power-law fluid; infinitely long coaxial circular cylinders; perturbation method; velocity field PDF BibTeX XML Cite \textit{J. J. Shepherd} and \textit{H. J. Connell}, Int. Math. J. 1, No. 2, 105--131 (2002; Zbl 1017.76006)