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Study of the Non-Newtonian Blood flow behavior of Reiner Rivlin relative to Power Law in arterial stenosis | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 اردیبهشت 1401 اصل مقاله (858.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2022.47241.1978 | ||
| نویسندگان | ||
Nibedita Dash  ؛ Sarita Singh
| ||
| Department of Mathematics, School of Physical Sciences, Doon University, Dehradun, India | ||
| چکیده | ||
| The present paper develops the solution of steady axi-symmetric Navier-Stokes conservation equations incorporating Reiner Rivlin stress and strain rate relation that represents generalized non-Newtonian fluid. Perturbation solution is obtained to determine flow field for axially symmetric stenosed artery. The flow field obtained from Perturbation solution is compared with exact analytical solution. In perturbation solution, cross viscosity that represents non-Newtonian characteristics is considered as perturbation parameter and the result obtained is observed to be dependent on perturbation parameter. However, the axial velocity and wall shear stress profiles obtained from perturbation solution is fairly close to the exact solution. Further, in this paper, the results in terms of axial velocity profile along stenosed radius and wall shear stress profile along the length of the stenotic artery for Reiner Rivlin are computed. The computed results are compared with the results obtained from Newtonian fluid, Casson fluid with yield stress and Power Law without yield stress constitutive relations. Such comparison of results of Reiner Rivlin is utilized to study the flow characteristics of blood. The flow profile in case of Reiner Rivlin is observed to be significantly closer to that of Power law. The study infers that Reiner Rivlin constitutive relation is fairly suitable in simulating blood flow in arterial stenosis. | ||
| کلیدواژه‌ها | ||
| Stenosis؛ Reiner-Rivlin Fluid؛ Viscosity؛ Cross viscosity؛ Perturbation | ||
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آمار تعداد مشاهده مقاله: 15 تعداد دریافت فایل اصل مقاله: 21 |
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