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Analytical and numerical modeling of steady flow in a helically symmetric pipe demonstrated the effects of curvature and torsion on cross-pipe flow components.
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This computational fluid dynamics study models arterial blood flow using a helically symmetric pipe to account for both curvature and torsion.
Fully developed flow in an infinite helically coiled pipe is studied, motivated by physiological applications. Most of the bends in the mammalian arterial system curve in a genuinely three-dimensional way, so that the arterial centreline has not only curvature but torsion and can be modelled by a helix. Flow in a helically symmetric pipe generalizes related problems in axisymmetry (Dean flow) and two-dimensionality, but the geometry ensures that even irrotational flow has a cross-pipe component. Fully developed helical flows driven by a steady pressure gradient are studied analytically and numerically. Varying the radius and pitch of the helical pipe, the effects of curvature and torsion on the flow are investigated.
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Zabielski et al. (1998) studied this question. Analytical and numerical modeling of steady flow in a helically symmetric pipe demonstrated the effects of curvature and torsion on cross-pipe flow components.
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