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Laminar flow of a suspension in a curved pipe with varying curvature. (English) Zbl 0563.73086

The laminar flow of a fairly concentrated suspension (in which the volume fraction Z of the solid particles \(<0.4)\) in a spatially varying periodically curved pipe has been examined numerically. Unlike the case of interacting suspension flows, the particles are found to flow in a well-mixed fashion, altering both the axial and circumferential velocities and consequently the fluid flux in the tube, depending on their diffusivity and inertia. The magnitude of shear stress at the wall is enhanced, suggesting that, if applied to vascular system, the vascular wall could be prone to ulceration during pathological situations like polycythemia. The delay in adaptation of the deviation in Poiseuille flow velocity to the curvature changes is also discussed in detail.

MSC:

74L15 Biomechanical solid mechanics
76Z05 Physiological flows
92Cxx Physiological, cellular and medical topics
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References:

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