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A mathematical modeling of pulsatile blood flow through a stenosed artery under effect of a magnetic field | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 6، شماره 2، اسفند 2018، صفحه 149-164 اصل مقاله (379.02 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2018.9259.1137 | ||
| نویسندگان | ||
| Ahmad Reza Haghighi* 1؛ Nooshin Aliashrafi2 | ||
| 1Department of Mathematics, Faculty of shahid beheshti, Urmia Branch Technical and Vocational University(TVU), Tehran, Iran | ||
| 2Faculty of mathematical science, Urmia University of Technology, Urmia, Iran | ||
| چکیده | ||
| A mathematical model for two-dimensional pulsatile blood flow through a constriction vessels under 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 an aim to provide resemblance to the in-vivo situations. The blood flow considered nonlinear, incompressible and fully developed. The nonlinear momentum and the continuity equations under suitable initial and boundary conditions can be 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 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 have been compared with the rigid ones. | ||
| کلیدواژه‌ها | ||
| Blood flow؛ Magnetic field؛ Body acceleration؛ Crank-Nicolson scheme | ||
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