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Pulsatile flow of blood using a modified second-grade fluid model. (English) Zbl 1145.76477
Summary: We study the unsteady pulsatile flow of blood in an artery, where the effects of body acceleration are included. The blood is modeled as a modified second-grade fluid where the viscosity and the normal stress coefficients depend on the shear rate. It is assumed that the blood near the wall behaves as a Newtonian fluid, and in the core as a non-Newtonian fluid. This phenomenon is also known as the Fahraeus-Lindqvist effect. The equations are made dimensionless and solved numerically.
MSC:
76Z05Physiological flows
92C35Physiological flows
76A05Non-Newtonian fluids
Software:
FEATFLOW
References:
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