Simulation of a pulsating flow in a pipe with local constrictions as applied to hemodynamics of blood vessels
A.B. Mazo1, E.I. Kalinin1, V.M. Molochnikov2,3, O.A. Dushina2
1Kazan Federal University, Kazan, Russia
2Institute of Power Engineering and Advanced Technologies KSC RAS, Kazan, Russia
3Kazan National Research Technical University named after A.N. Tupolev (KAI), Kazan, Russia
Keywords: stenosed blood vessel, pulsating flow, laminar-turbulent transition, direct numerical simulation
Abstract
The oscillating flow of a viscous incompressible fluid in a rigid circular pipe with local constriction has been studied numerically. Fluid viscosity and density of liquid, channel diameter and constriction, as well as amplitude-frequency characteristics of the flow rate are identical to those of the blood flow in the human popliteal artery with stenosis. Reynolds number in the area of stenosis is Re » 5×103, dimensionless pulsation frequency is Sh = 0.43×10-3, and normalized constriction of the channel is d = d / D = 0.4. The flow under consideration is characterized by the fact that during one oscillation period the fluid flow rate changes direction four times. This contributes to laminar-turbulent transition when the jet discharges from a contraction throat into the main flow. Qualitative features and quantitative parameters of pulsating flow have been determined including distribution of friction stresses along the channel wall.
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