A mathematical model is proposed to the pulsatile flow of blood in a tapered artery with mild constriction. This study considers blood as an electrically conducting, non-Newtonian fluid (Jeffrey fluid) which contains magnetic nanoparticles. As blood conducts electricity, it exerts an electric force along the flow direction due to the induced magnetic force by an applied magnetic field which produces Lorentz force and influences the fluidity. Assuming that the pulsatile fluid flow is accelerated by a body force that has in slip velocity at the wall, a set of coupled nonlinear Navier–Stokes equation governing the flow networks is obtained. By employing Laplace and Hankel transforms on the partial equations, we obtain an exact solution for the velocity of flow pattern. Further, the evaluated axial velocity of both fluid and particle are used to find the physiological quantities such as shear stress, flow resistivity and volume of fluid flow. Their dependency on the Womersley parameter, Hartmann number, shape parameter, Jeffrey number and electrokinetic number are calculated numerically and explained graphically. Furthermore, the results are compared within slip and no slip velocities.

中文翻译：

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“具有周期性体加速和施加磁场的通过锥形动脉狭窄的电流体动力学非牛顿流体流动的数学建模”的勘误 [应用数学与计算，362（2019） 124453]]


提出了一个数学模型来计算轻度收缩的锥形动脉中的血搏性流动。本研究将血液视为一种导电的非牛顿流体（杰弗里流体），其中包含磁性纳米颗粒。当血液导电时，由于施加的磁场产生的感应磁力，它会沿流动方向施加电力，从而产生洛伦兹力并影响流动性。假设脉动流体流动被在壁面上具有滑移速度的体力加速，则得到一组控制流网的耦合非线性 Navier-Stokes 方程。通过在偏方程上使用 Laplace 和 Hankel 变换，我们获得了流型速度的精确解。此外，评估的流体和颗粒的轴向速度用于求生理量，例如剪切应力、流动阻力和流体流动体积。它们对 Womersley 参数、Hartmann 数、形状参数、Jeffrey 数和电动数的依赖性以数值计算并以图形方式解释。此外，在滑移速度和无滑移速度下对结果进行了比较。