The Influence of Drag on Nonlinear Oscillatory Flow through Concentric Annulus

Q4 Biochemistry, Genetics and Molecular Biology

Molecular & Cellular Biomechanics Pub Date : 2021-01-01 DOI:10.32604/mcb.2021.015605

B Umadevi, C. V. Vinay, P. A. Dinesh

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引用次数: 0

Abstract

A mathematical model has been developed to study the effect of particle drag parameter and frequency parameter on velocity and pressure gradient in nonlinear oscillatory two phase flow. The main purpose is to apply the model to study the combined effect of introduction of the catheter and elastic properties of the arterial wall on the pulsatile nature of the blood flow. We model the artery as an isotropic thin walled elastic tube and the catheter as a coaxial flexible tube. Blood is modeled as an incompressible particulate viscous Newtonian fluid. Perturbation technique has been applied to find the approximations for velocity and pressure gradient up to second order. Numerical solutions are investigated with graphical presentations to understand the effects of drag parameter, frequency parameter and phase angle on velocity along radial direction and pressure gradient along axial directions. As the drag parameter increases, mean pressure gradient and mean velocity will be decreased. As frequency parameter increases mean velocity profile bends near the outer wall. Due to elastic nature of artery wall, a thin catheter experience small oscillations and a thick catheter remains stationary inside the artery. Finally, the effect of catheterization on various physiologically important flow rate characteristics—mean velocity, mean pressure gradient are studied for a range of different catheter sizes, particle drag parameter and frequency parameters.

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阻力对同心环空非线性振荡流动的影响

建立了非线性振荡两相流中颗粒阻力参数和频率参数对速度梯度和压力梯度影响的数学模型。主要目的是应用该模型研究导管的引入和动脉壁弹性特性对血流脉动特性的综合影响。我们将动脉建模为各向同性薄壁弹性管，将导管建模为同轴柔性管。血液被建模为不可压缩的颗粒状粘性牛顿流体。应用微扰技术求出了速度梯度和压力梯度的二阶近似。通过数值解法研究了阻力参数、频率参数和相位角对径向速度和轴向压力梯度的影响。随着阻力参数的增大，平均压力梯度和平均速度减小。随着频率参数的增大，平均速度分布在外壁附近发生弯曲。由于动脉壁的弹性，薄导管振荡很小，厚导管在动脉内保持静止。最后，在不同导管尺寸、颗粒阻力参数和频率参数的影响下，研究了导管置管对不同生理上重要的流速特性——平均流速、平均压力梯度的影响。

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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来源期刊

Molecular & Cellular Biomechanics CELL BIOLOGYENGINEERING, BIOMEDICAL&-ENGINEERING, BIOMEDICAL

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： The field of biomechanics concerns with motion, deformation, and forces in biological systems. With the explosive progress in molecular biology, genomic engineering, bioimaging, and nanotechnology, there will be an ever-increasing generation of knowledge and information concerning the mechanobiology of genes, proteins, cells, tissues, and organs. Such information will bring new diagnostic tools, new therapeutic approaches, and new knowledge on ourselves and our interactions with our environment. It becomes apparent that biomechanics focusing on molecules, cells as well as tissues and organs is an important aspect of modern biomedical sciences. The aims of this journal are to facilitate the studies of the mechanics of biomolecules (including proteins, genes, cytoskeletons, etc.), cells (and their interactions with extracellular matrix), tissues and organs, the development of relevant advanced mathematical methods, and the discovery of biological secrets. As science concerns only with relative truth, we seek ideas that are state-of-the-art, which may be controversial, but stimulate and promote new ideas, new techniques, and new applications.