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国际流体力学研究期刊
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

国际流体力学研究期刊

DOI: 10.1615/InterJFluidMechRes.v42.i4.40
pages 334-354

Unsteady Two-Phase Flow in a Catheterized Artery with Atherosclerosis

Ranadhir Roy
School of Mathematical and Statistical Sciences, One West University Boulevard, University of Texas Rio Grande Valley, Brownsville, Texas 78520 USA
Jorge Cisneros
University of Texas-Pan American, Department of Mathematics Edinburg, Texas, USA
Daniel N. Riahi
School of Mathematical and Statistical Science, University of Texas Rio Grande Valley, Edinburg, TX

ABSTRACT

In this paper we investigate the effect of oscillating axisymmetric blood flow on a catheterized artery in the presence of atherosclerosis, which is obtained from the available experimental data. The oscillatory (unsteady) blood flow in the arterial tube is formulated as a two-phase model composing a suspension of erythrocytes (red cells) in plasma. The coupled differential equations for both fluid (plasma) and particles (red cells) are solved by using analytical and computational methods. The important quantities such as plasma speed, velocity of red cells, blood pressure force, impedance (blood flow resistance) and the wall shear stress are computed for different values of the catheter size and hematocrit due to the red cells. We calculate dependence of these quantities on the temporal and spatial variable as well as on the frequency of the flow oscillation. We find, in particular, that the higher value of the frequency, larger catheter size, and higher values of hematocrit can lead to higher values of axial velocity, the impedance and the wall shear stress in the stenosis zone.