Pulsatile Non-Newtonian Laminar Blood Flows through Arterial Double Stenoses

Abstract

The paper presents a numerical investigation of non-Newtonian modeling effects on unsteady periodic flows in a two-dimensional (2D) pipe with two idealized stenoses of 75% and 50% degrees, respectively. The governing Navier-Stokes equations have been modified using the Cartesian curvilinear coordinates to handle complex geometries. The investigation has been carried out to characterize four different non-Newtonian constitutive equations of blood, namely, the (i) Carreau, (ii) Cross, (iii) Modified Casson, and (iv) Quemada models. The Newtonian model has also been analyzed to study the physics of fluid and the results are compared with the non-Newtonian viscosity models. The numerical results are represented in terms of streamwise velocity, pressure distribution, and wall shear stress (WSS) as well as the vorticity, streamlines, and vector plots indicating recirculation zones at the poststenotic region. The results of this study demonstrate a lower risk of thrombogenesis at the downstream of stenoses and inadequate blood supply to different organs of human body in the Newtonian model compared to the non-Newtonian ones.

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Study of Non-Linear Deformation of Peripheral Stent Mechanics Using Computational Approach

“…By comparison, non-Newtonian fluid viscosity changes depending on the shear rate. Literature demonstrates the relationship between blood viscosity and the shear rate for Newtonian and four different non-Newtonian models [23]. For our approach popular Carreau non-Newtonian model [23] is selected with features zero-shear plateau at low rates and a power-law region at high rates as demonstrated by the equation 4:…”

Numerical Solution of Blood Flow and Mass Transport in an Elastic Tube with Multiple Stenoses

“…e flow energy loss due to the presence of the stenoses, which is directly related to the pressure drop across them, increases with the number of stenoses but is not strongly dependent on the spacing between them. e authors of [11][12][13][14][15][16][17][18][19] have also investigated blood flow through multiple stenoses; however, these studies have not considered the mass transfer.…”

“…It is observed that most CFD models of arterial hemodynamics make the simplifying assumptions of rigid walls and fully developed inlet velocities (cf. [13][14][15][16][17][18][19]). But the arteries are not rigid tubes.…”