A study of pulsatile blood flow modeled as a power law fluid in a constricted tube

Simulation of blood flow behaviour in the arteries and in arterial stenosis has been made and will be discussed in this paper. This simulation uses pulsatile flow and blood flow in artery without stenosis is considered as a dynamic fluid, compressed and condensed. Whereas, in the case of arterial stenosis has been used Casson and Power-law fluid models. In the arteries without stenosis, blood flow velocity profiles show the same pattern for each Womersley number, but with different speed value. In the case of arterial stenosis, blood flow rate decreases with increasing stenosis position away from axis of blood vessels. Resistances to flow are increases with increasing the size (height and length) of stenosis, both for the Casson and Power-law fluid models. If resistance to flow increases, it is more difficult for the blood to pass through an artery, result the flow decreases and heart has to work harder to maintain adequate circulation.Keywords : Artery, blood flow, power-law fluid, Casson fluid, stenosis

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Power law fluid model for blood flow through a tapered artery with a stenosis

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.01.026 ◽

2011 ◽

Vol 217 (17) ◽

pp. 7108-7116 ◽

Cited By ~ 26

Author(s):

S. Nadeem ◽

Noreen Sher Akbar ◽

Awatif A. Hendi ◽

T. Hayat

Keyword(s):

Blood Flow ◽

Power Law ◽

Fluid Model ◽

Power Law Fluid ◽

Tapered Artery ◽

Flow Through

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Pulsatile flow of power-law fluid model for blood flow under periodic body acceleration

Biorheology ◽

10.3233/bir-1990-27510 ◽

1990 ◽

Vol 27 (5) ◽

pp. 747-758 ◽

Cited By ~ 19

Author(s):

P. Chaturani ◽

V. Palanisamy

Keyword(s):

Blood Flow ◽

Power Law ◽

Pulsatile Flow ◽

Fluid Model ◽

Power Law Fluid ◽

Body Acceleration

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Mathematical Modeling of Blood Flow in an Artery with an Unsteady Stenosis using Power-Law Fluid Model

SOP Transactions on Applied Mathematics ◽

10.15764/am.2014.02009 ◽

2014 ◽

Vol 1 (2) ◽

pp. 88-103

Author(s):

Ranadhir Roy ◽

◽

Daniel Riahi ◽

Nelson Carrasquero

Keyword(s):

Mathematical Modeling ◽

Blood Flow ◽

Power Law ◽

Fluid Model ◽

Power Law Fluid

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A comparison of Newtonian and non-Newtonian models for pulsatile blood flow simulations

Journal of the Mechanical Behavior of Materials ◽

10.1515/jmbm-2013-0001 ◽

2013 ◽

Vol 21 (5-6) ◽

pp. 147-153 ◽

Cited By ~ 2

Author(s):

Iqbal Husain ◽

Fotini Labropulu ◽

Chris Langdon ◽

Justin Schwark

Keyword(s):

Blood Flow ◽

Power Law ◽

Three Dimensional ◽

Arterial Stenosis ◽

Pulsatile Blood Flow ◽

Blood Flows ◽

Newtonian Model ◽

Wide Range ◽

Flow Effects ◽

Three Dimensional Models

AbstractMathematical modeling of blood flows in the arteries is an important and challenging problem. This study compares several non-Newtonian blood models with the Newtonian model in simulating pulsatile blood flow through two three-dimensional models of an arterial stenosis and an aneurysm. Four non-Newtonian blood models, namely the Power Law, the Casson, the Carreau, and the Generalized Power Law, as well as the Newtonian model of blood viscosity, are used to investigate the flow effects induced by these different blood constitutive equations. The aim of this study is three-fold: firstly, to investigate the variation in wall shear stress in an artery with a stenosis or aneurysm at different flow rates and degrees of severity; secondly, to compare the various blood models and hence quantify the differences between the models and judge their significance; and lastly, to determine whether the use of the Newtonian blood model is appropriate over a wide range of shear rates.

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