Mathematical Modeling of a Complex System for MHD Flow in Hemodynamics

2011 Sixth International Conference on Bio-Inspired Computing: Theories and Applications Pub Date : 2011-09-27 DOI:10.1109/BIC-TA.2011.47

D. Sankar, Nurul Aini Jaffar, A. Ismail, A. Nagar

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引用次数: 2

Abstract

Many physiological system in humans and animals are complex systems. Hemodynamic is a branch of physiology and is a complex system which deals with the study of blood flow in arteries. We study the complex physical system of blood flow in a narrow artery with asymmetric stenos is in the presence of external magnetic field, treating blood as Herschel-Bulkey fluid model. Finite difference scheme is applied to solve the resulting system of nonlinear partial differential equations with appropriate initial and boundary conditions. The finite difference schemes for the velocity distribution, skin friction, flow rate and longitudinal impedance to flow are obtained. It is found that the velocity decreases with the increase of the magnetic field and pressure gradient reverse behavior is noticed when the yield stress and depth of the stenos is increase. It is also observed that the flow rate decreases with the increase of the stenos is shape parameter, power law index and yield stress. Also, it is noted that the presence of external magnetic field influences the mean velocity by increasing its magnitude significantly in arteries of different radii.

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血流动力学中MHD流动复杂系统的数学建模

人和动物的许多生理系统都是复杂的系统。血液动力学是生理学的一个分支，是一个研究动脉血流的复杂系统。本文将血液作为Herschel-Bulkey流体模型，研究了外磁场作用下非对称狭窄狭窄动脉血流的复杂物理系统。采用有限差分格式求解得到的非线性偏微分方程组，并具有适当的初始条件和边界条件。得到了速度分布、表面摩擦力、流量和纵向流动阻抗的有限差分格式。结果表明，速度随磁场的增大而减小，而压力梯度随屈服应力的增大和狭缝深度的增大而增大。流动速率随狭缝形状参数、幂律指数和屈服应力的增大而减小。此外，还注意到外磁场的存在通过在不同半径的动脉中显著增加其大小来影响平均速度。

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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2011 Sixth International Conference on Bio-Inspired Computing: Theories and Applications

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