每年出版 6 期
ISSN 打印: 2152-5102
ISSN 在线: 2152-5110
Indexed in
On Blood Flow in an Artery with an Unsteady Overlapping Stenosis: Mathematical and Computer Modeling
摘要
In this study, we investigate the characteristics of blood flow in an artery with an overlapping unsteady stenosis. Due to the unsteadiness of the stenosis and its boundary effect on the blood flow system, the resulting flow is assumed to be unsteady with the same frequency as the one generated by the unsteady stenosis. The governing equations for the mass conservation and momentum are used for blood flow system, but here the dynamic viscosity of the fluid is a function of the radial variable as modeled by Einstein to take into account the hematocrit. Hematocrit is the percentage of the red cells by volume in the whole blood fluid. Mathematical models and computational codes are developed to determine the leading order flow velocity, pressure gradient, impedance and wall shear stress at the throats and at the critical height of the stenosis. We find that higher values of the frequency, hematocrit, and height of stenosis leads to higher values of the axial velocity, the impedance and the wall shear stress in the stenosis zone.