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Three Dimensional Pulsatile Non-Newtonian Flow in a Stenotic Vessel

  • I. HusainEmail author
  • C. Langdon
  • J. Schwark
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 307)

Abstract

This study investigates the pulsatile simulations of non_Newtonian flows in a stenotic vessel. Four non-Newtonian blood models, namely the Power Law, Casson, 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 are three fold: firstly, to investigate the variation in wall shear stress in an artery with a stenosis 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.

Keywords

Fluid flows Blood Stenosis Non-Newtonian Pulsatile Simulations 

References

  1. 1.
    Berger SA, Jou, L-D (2000) Flows in stenotic vessels. Annual Reviews of Fluid Mechanics, 32:347–382.Google Scholar
  2. 2.
    Ku DN (1997) Blood flow in arteries. Annual Review of Fluid Mechanics, 29:399–434.Google Scholar
  3. 3.
    Johnsto BM et al. (2004) Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J. Biomechanics, 37:709–720.Google Scholar
  4. 4.
    Neofytou P, Tsangaris S (2005) Flow effects of blood constitutive equations in 3D models of vascular anomalies. Int. J. Numer. Meth. Fluids, 51:489–510.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of MathematicsLuther College—University of ReginaReginaCanada

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