THERMAL SCIENCE

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Louiza Achab

,

Mohamed Mahfoud

,

Salah Benhadid

NUMERICAL STUDY OF THE NON-NEWTONIAN BLOOD FLOW IN A STENOSED ARTERY USING TWO RHEOLOGICAL MODELS

ABSTRACT
The numerical simulation of blood flow in arteries using non-Newtonian viscosity model, presents two major difficulties; the first one is the choice of an appropriate constitutive equation, because no one model is universally accepted as a reflection of the true behavior of blood viscosity until now. Another difficulty lies in the numerical convergence of the complex scheme solving the highly non-linear set of equations governing the blood motion. In this paper, the pulsatile blood flow through an arterial stenosis has been numerically modeled to evaluate the flow characteristics and the wall shear stress under physiological conditions. The Navier-Stokes equations governing the fluid motion are solved using the finite element method in unsteady two-dimensional case. The behavior of blood is considered as the Generalized Power-law (Gpl) and Cross models, where the shear-thinning characteristics of the streaming blood are taken into account. Constants in the constitutive equations of previous models have been obtained by fitting experimental viscosity data. The numerical simulations are performed for a wide range of apparent shear rates (10 s-1-750 s-1) with good convergence of the iterative scheme. Results from the blood flow simulations indicate that non-Newtonian behavior has considerable effects on instantaneous flow patterns. However, it seems that the Gpl model will be slightly better for describing the non-Newtonian characteristics of blood than the Cross model.
KEYWORDS
pulsatile blood flow, Generalized Power-law, Cross law, stenosis, finite element method, Galerkin, penalty function
PAPER SUBMITTED: 2013-02-27
PAPER REVISED: 2013-11-11
PAPER ACCEPTED: 2013-11-14
PUBLISHED ONLINE: 2013-12-22
DOI REFERENCE: https://doi.org/10.2298/TSCI130227161A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 2, PAGES [449 - 460]
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Numerical study of the non-Newtonian blood flow in a stenosed artery using two rheological models

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence