A Two-Layered Suspension Blood Flow Through a Composite Stenosis

Abstract

Blood flow in the presence of a composite stenosis is investigated by examining the effects that red cell concentration, stenosis height and a peripheral layer have on blood flow characteristics. A two-layered model with a particle-fluid suspension in the core region and a peripheral plasma layer without any particles is used to represent blood. Expressions for three flow characteristics (impedance, wall shear stress and shear stress at the stenosis throat) are derived. Flow impedance increases with increasing hematocrit, stenosis height and diameter of the vessel but decreases with increasing tube length. The shear stress on the wall increases with increasing hematocrit, stenosis height and diameter of the vessel. Trends in the shear stress at the stenosis throat and impedance are similar with the variation of any parameter. The two-fluid model's flow characteristics are lower than those of the one-fluid model. In the analysis of the particle-fluid suspension the flow characteristics there were higher than when flow is considered to be particle-free. This knowledge of how the peripheral layer affects blood flow characteristics can aid in the understanding of diseased arterial systems

Convective Heat Transfer on Stenosed Blood Flow Through Permeable Microcirculation in the Presence of a Magnetic Field

“…Simpson's rule was used on the integrals which needed to be evaluated numerically. Plots for these solutions were provided using [8,13,18,19,21].…”

“…Tripathi and Kumar Sharma [17] explored MHD flow of blood through an inclined porous artery with heat transfer using a Newtonian fluid model. However due to the nature of blood, a two-layered model is suitable for examining flow in microcirculation [18,19]. The effect of heat transfer on two-layered blood flow through a composite stenosis in the presence of a magnetic field has been researched by Sankar, Rao Gunakala and Comissiong [20] but the permeability of the vessel wall was not considered.…”

Analysis of biomagnetic blood flow in a stenosed bifurcation artery amidst elastic walls

“…[7] discussed that if a low WSS area is less than 0.5Pa then the risk of intimal thickening for an artery will be very high. [8] investigated that instead of using a time-dependent electromagnetic field, in most clinical devices static magnetic field formed by an everlasting magnet to treat vascular infections. [9] examined the progression of blood impacted by an outside magnetic field with diminishing the seeping during surgeries; drop the recuperating of fractures and effectiveness for the treatment of depression.…”

A Two Phase Mathematical Model of Fluid Flow through Bell Shaped Stenotic Artery

“…Shukla et al [6]1980 Singh , Joshi & Joshi, 2014 [8] and Joshi & Gadkari [1] taken stenosis shaped as cosine, trapezium and triangular respectively and investigated plasma layer viscosity effect on flow characteristics. Sankar & Gunakala [4] have studied the fluid flow through small composite constricted vessels using a twolayered model applying uniform transverse external magnetic field and found that flux of blood and velocity both reduced with increasing of intensity of applied magnetic field . Recently Neeraja et al…”