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Modeling of pulsatile EMHD flow of Au -blood in an inclined porous tapered atherosclerotic vessel under periodic body acceleration
Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2021-05-11 , DOI: 10.1007/s00419-021-01974-6
Ramakrishna Manchi , R. Ponalagusamy

A theoretical study on the pulsatile flow of Sutterby nanofluid in an inclined porous tapered arterial stenosis under the simultaneous impact of electro-osmotic , magnetohydrodynamic and periodic body forces with slip effect at the arterial wall is presented. Gold (Au) nanoparticles with various shapes (spheres, bricks, cylinders, platelets and blades) are utilized in the analysis. Poisson–Boltzmann equation is used to encounter the phenomena of the applied electric field. By assuming the low zeta potential on the walls, Debye–Hückel approximation is adapted to linearize the Poisson–Boltzmann equation, and then closed-form solution for the electric potential function is obtained. Under the assumption of small Reynolds number and mild stenoses case, the equations that govern the flow are made non-dimensional, and a suitable radial coordinate transformation is used to convert the irregular boundary to a regular boundary. The analytical expression for temperature profile is obtained via Laplace and finite Hankel transforms, from which Nusselt number is derived while the velocity profile is computed numerically employing a Crank–Nicolson scheme with the appropriate boundary and initial conditions. The physical aspect of various emerging parameters is analyzed through various graphs and tables for profiles of dimensionless velocity, temperature, volumetric flow flux, flow impedance, skin-friction coefficient and Nusselt number. It is found that an upsurge in the electro-osmotic parameter serves to reduce the hemodynamic factors (skin-friction and impedance) substantially, whereas an adverse trend is noticed for the Hartmann number. It is also deduced that the utilization of the spherical shape nanoparticles shows the higher heat flux at the stenosed arterial wall compared to the other nanoparticle shapes, and hence, nanoparticles and their shapes play a prominent role in biomedical applications. In order to validate the current results, different comparisons have been made with earlier published studies in a limiting case and an excellent agreement was found.



中文翻译:

周期性人体加速度作用下倾斜多孔锥形动脉粥样硬化血管中金血的脉动EMHD流动模型

提出了在电渗,磁流体动力和周期性体力同时在动脉壁上产生滑移效应的同时作用下,倾斜的多孔锥形动脉狭窄中Sutterby纳米流体脉动流的理论研究。金(分析中使用了各种形状的纳米颗粒(球形,砖形,圆柱体,血小板和叶片)。Poisson–Boltzmann方程用于遇到外加电场的现象。通过假设墙壁上的zeta电位低,Debye-Hückel逼近适用于线性化Poisson-Boltzmann方程,然后获得电位函数的闭式解。在小雷诺数和轻度狭窄的情况下,控制流动的方程是无量纲的,并使用适当的径向坐标变换将不规则边界转换为规则边界。温度分布的解析表达式是通过Laplace和有限的Hankel变换获得的,从中推导出Nusselt数,同时使用带有适当边界和初始条件的Crank-Nicolson方案对速度分布进行数值计算。通过各种图形和表格分析各种新兴参数的物理方面,以获取无量纲速度,温度,体积流量,流量阻抗,皮肤摩擦系数和努塞尔数的分布图。已经发现,电渗参数的升高起到了显着降低血液动力学因素(皮肤摩擦和阻抗)的作用,而对于哈特曼数则注意到了不利的趋势。还可以推断,与其他纳米颗粒形状相比,球形纳米颗粒的利用在狭窄的动脉壁处显示出更高的热通量,因此,纳米颗粒及其形状在生物医学应用中起着重要作用。为了验证当前的结果,在有限的情况下,与早期发表的研究进行了不同的比较,并找到了一个很好的协议。

更新日期:2021-05-11
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