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A mathematical modeling of pulsatile blood flow through a stenosed artery under effect of a magnetic field. (English) Zbl 1413.92008

Summary: A mathematical model for a two-dimensional pulsatile blood flow through a constriction vessels under a magnetic field and body acceleration is numerically simulated. The artery considered as an elastic cylindrical tube and the geometry of the constriction assumed to time-dependent with the aim to provide resemblance to the in-vivo situations. The blood flow is considered nonlinear, incompressible and fully developed. The nonlinear momentum and the continuity equations under suitable initial and boundary conditions are numerically solved using the Crank-Nicolson scheme. The blood flow specifications such as the velocity profile, the volumetric flow rate and the resistance to flow are obtained and the effects of the magnetic field and the severity of the stenosis under these flow specifications are discussed. Besides, the blood flow characteristics through elastic artery are compared with the rigid ones.

MSC:

92C35 Physiological flow
76Z05 Physiological flows
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