Abstract

Helical flow of a power-law fluid in a thin annulus is investigated with a view to modeling biofluid flow around the commonly occurring non-planar bend. The inner cylinder is rotating with angular velocity ω and the outer cylinder is permeable. The velocity distribution and the fractional increase in volume flow rate are obtained. When the permeability parameter σ → ∞ , the results agree with those of Bird et al. [Dynamics of polymer liquids, vol. 1, Fluid Mechanics, 1977, Wiley, New York]. Numerical methods are used to find the velocity components and the volume flow rate for the helical flow of a physiological fluid (power-law fluid). Possible advantages of the observed helical flow characteristics with permeability effects are discussed.

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