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首页> 外文期刊>European Journal of Mechanics, B. Fluids >Mathematical modelling of pulsatile flow of blood through catheterized unsymmetric stenosed artery-Effects of tapering angle and slip velocity
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Mathematical modelling of pulsatile flow of blood through catheterized unsymmetric stenosed artery-Effects of tapering angle and slip velocity

机译：通过不对称狭窄导管的脉动血流的数学模型-锥角和滑移速度的影响

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摘要

In this paper the dynamic mathematical model of blood flow through a stenosed tapered artery in the presence of a catheter has been studied. Blood is modelled as a homogeneous and incompressible couple stress fluid. The analytical solution for the velocity component (v_z) is obtained in terms of Bessel functions of various kinds. The effects of tapering angle (θ), slip velocity (u), catheter radius (r_c), Reynolds number (Re), pulsatile parameter (σ), maximum height of the stenosis (∈) and couple stress fluid parameters (β, ω) on physiological parameters such as Impedance and Wall shear stress (at the maximum height of the stenosis) are discussed. The locations of the maximum height of the stenosis and the annular radius which are dependent on both tapered parameter (ζ) and shape parameter (n) are computed. It is identified that the impedance and wall shear stress are increasing as the tapered parameter (ζ) and the couple stress fluid parameters are decreasing while the behaviour is reverse in the case of the radius of the catheter (r_c) and ∈. It is also observed that the impedance is more in the case of symmetric stenosis. Further the effect of tapering angle on physiological parameters shows that the impedance and wall shear stress are maximum in the case of converging tapered arteries. To validate the results obtained using the present model, the results are compared with the experimental results of Back (1994).
机译：在本文中，研究了在导管存在下流经狭窄锥形动脉的血流的动态数学模型。血液被建模为均质且不可压缩的偶应力流体。根据各种贝塞尔函数获得了速度分量（v_z）的解析解。锥角（θ），滑移速度（u），导管半径（r_c），雷诺数（Re），脉动参数（σ），狭窄的最大高度（ε）和耦合应力流体参数（β，ω ），例如阻抗和壁切应力（在狭窄的最大高度）。计算取决于锥形参数（ζ）和形状参数（n）的最大狭窄高度和环形半径的位置。可以确定，阻抗和壁切应力随着锥度参数（ζ）的增加而增加，而耦合应力流体参数的减少则在导管半径（r_c）和ε的情况下是相反的。还观察到在对称狭窄的情况下阻抗更大。此外，锥角对生理参数的影响表明，在逐渐收缩的锥形动脉中，阻抗和壁切应力最大。为了验证使用本模型获得的结果，将结果与Back（1994）的实验结果进行比较。

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