In the present study, the problem of simulating a non-Newtonian and two-dimensional blood flow in a flexible stenosed artery is examined by an implicit finite difference method. The streaming blood in the human artery is represented as a micropolar fluid. The governing non-Linear partial differential equations are modeled in cylindrical coordinates system and following a suitable radial coordinate transformation, they are solved numerically employing a Crank–Nicolson method with a suitable choice of initial and boundary conditions. An implicit approach is obtained for velocity distribution and the numerical solutions of flow rate and resistance impedance at the stenosis throat are founded by using velocity distribution. Effects of different types of tapered arteries, the stenosis and the amplitudes of body acceleration on the blood flow characteristics are presented graphically and discussed briefly. The motion of the arterial wall is paid due attention by comparing the blood flow characteristics through the elastic artery with the rigid ones. It is observed that the obtained results are in good agreement with previously conducted studies.

中文翻译：

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人体加速度作用下血流微极性流体模型的一种隐含方法

在本研究中，通过隐式有限差分方法研究了模拟在狭窄的狭窄动脉中的非牛顿和二维血流的问题。人动脉中流动的血液表示为微极性液体。控制的非线性偏微分方程在圆柱坐标系中建模，并经过适当的径向坐标变换，使用Crank-Nicolson方法以数值方式进行求解，并选择合适的初始条件和边界条件。得到了一种隐式的速度分布方法，并利用速度分布建立了狭窄喉部流速和阻力阻抗的数值解。不同类型的锥形动脉的影响，图形化地显示了狭窄和人体加速度幅度对血流特征的影响，并进行了简要讨论。通过比较通过弹性动脉的血流特性与刚性动脉的血流特性，应适当注意动脉壁的运动。可以看出，所获得的结果与先前进行的研究非常吻合。