Slip Effects on Pulsatile Flow of Blood through a Stenosed Arterial Segment under Periodic Body Acceleration

A. Sinha, G. C. Shit, P. K. Kundu
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引用次数: 22

Abstract

A theoretical investigation concerning the influence of externally imposed periodic body acceleration on the flow of blood through a time-dependent stenosed arterial segment by taking into account the slip velocity at the wall of the artery has been carried out. A mathematical model is developed by treating blood as a non-Newtonian fluid obeying the Casson fluid model. The pulsatile flow is analyzed by considering a periodic pressure gradient and the inertial effects as negligibly small. A suitable generalized geometry for time-dependent stenosis is taken into account. Perturbation method is used to solve the coupled implicit system of nonlinear differential equations that govern the flow of blood. Analytical expressions for the velocity profile, volumetric flow rate, and wall shear stress are obtained. A thorough quantitative analysis has been made through numerical computations of the variables involved in the analysis that are of special interest in this study. The computational results are presented graphically. The results for different values of the parameters involved in the problem under consideration presented here show that the flow is appreciably influenced by slip velocity in the presence of periodic body acceleration.
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在周期性身体加速下,滑移对狭窄动脉段血液脉动流动的影响
考虑到动脉壁的滑移速度,对体外施加的周期性身体加速度对通过时间依赖性狭窄动脉段的血流的影响进行了理论研究。将血液视为非牛顿流体,遵循卡森流体模型,建立了数学模型。考虑周期压力梯度和可忽略的惯性效应,对脉动流进行了分析。考虑了一种适合于时间相关狭窄的广义几何。采用摄动法求解控制血液流动的非线性微分方程组的耦合隐式系统。得到了速度分布、体积流量和壁面剪应力的解析表达式。通过对本研究中特别感兴趣的分析中涉及的变量的数值计算,进行了彻底的定量分析。计算结果以图形形式给出。本文所讨论的问题所涉及的不同参数值的结果表明,在存在周期体加速度的情况下,流动明显受到滑移速度的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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