Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration

Q3 Chemical Engineering International Journal of Applied Mechanics and Engineering Pub Date : 2022-12-01 DOI:10.2478/ijame-2022-0052

Rana Manisha, Surendra Kumar

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Abstract

Abstract The present paper analyzes an unsteady magnetohydrodynamic blood flow model of an visco-elastic fluid through an inclined porous stenosed artery with body acceleration and slip effect. Navier-Stokes equations have been used to describe the blood flow model. The governing equation of blood flow is solved by an analytic method by considering blood as an incompressible, visco-elastic fluid, and suspension of RBC’s in plasma. Axial velocity, blood acceleration, flow rate, and shear stress are derived numerically by using the finite Laplace and Hankel transformation and their inverse. The effect of parameters such as the visco-elasticity parameter, Womersley number, Hartmann number, inclination angle, parameter of slip, and body acceleration frequency is analyzed. Axial velocity reduces as the Hartmann number and visco-elasticity parameter enhance and it enhances with the enhancement of the slip parameter and inclination angle. The study is beneficial for finding the effect of slip parameter, porosity factor and Hartmann number when a human body is exposed to MRI and CT scan.

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考虑滑移效应和体加速度的倾斜多孔狭窄动脉粘弹性流体模型

摘要本文分析了考虑体加速度和滑移效应的粘弹性流体通过倾斜多孔狭窄动脉的非定常磁流体力学血流模型。Navier-Stokes方程被用来描述血流模型。考虑血液是一种不可压缩的粘弹性流体，血浆中存在红细胞悬浮物，用解析法求解了血液流动的控制方程。利用有限拉普拉斯和汉克尔变换及其逆变换，对轴向速度、血流加速度、血流速率和剪切应力进行了数值推导。分析了粘弹性参数、沃默斯利数、哈特曼数、倾角、滑移参数、体加速度频率等参数的影响。轴向速度随哈特曼数和粘弹性参数的增大而减小，随滑移参数和倾角的增大而增大。该研究有助于发现人体在MRI和CT扫描下滑移参数、孔隙率因子和Hartmann数的影响。

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来源期刊

International Journal of Applied Mechanics and Engineering Engineering-Civil and Structural Engineering

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

35 weeks

期刊介绍： INTERNATIONAL JOURNAL OF APPLIED MECHANICS AND ENGINEERING is an archival journal which aims to publish high quality original papers. These should encompass the best fundamental and applied science with an emphasis on their application to the highest engineering practice. The scope includes all aspects of science and engineering which have relevance to: biomechanics, elasticity, plasticity, vibrations, mechanics of structures, mechatronics, plates & shells, magnetohydrodynamics, rheology, thermodynamics, tribology, fluid dynamics.