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Two-fluid nonlinear mathematical model for pulsatile blood flow through stenosed arteries. (English) Zbl 1239.35168

Summary: Pulsatile flow of blood through mild stenosed narrow arteries is analyzed by treating the blood in the core region as Casson fluid and the plasma in the peripheral layer as Newtonian fluid. Perturbation methods are used to solve the coupled implicit system of non-linear differential equations. The expressions for velocity, wall shear stress, plug core radius, flow rate and resistance to flow are obtained. The effects of pulsatility, stenosis, peripheral layer and non-Newtonian behavior of blood on these flow quantities are discussed.
It is found that the pressure drop, plug core radius, wall shear stress and resistance to flow increase with the increase of the yield stress or stenosis size while all other parameters are held constant.

MSC:

35Q92 PDEs in connection with biology, chemistry and other natural sciences
76Z05 Physiological flows
35Q35 PDEs in connection with fluid mechanics
92C35 Physiological flow
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