ANZIAM J. 47(EMAC2005) pp.C507--C523, 2007.

Modeling of non-Newtonian blood flow through a stenosed artery incorporating fluid-structure interaction

W. Y. Chan

Y. Ding

J. Y. Tu
(Received 21 November 2005; revised 12 December 2006)

Abstract

We investigate fluid and structural responses to pulsatile non-Newtonian blood flow through a stenosed artery, using ANSYS. The artery was modeled as an axisymmetric stenosed vessel. The wall of the vessel was set to be isotropic and elastic. The blood behavior was described by the Power Law and the Carreau non-Newtonian models, respectively. When compared to the Newtonian flow models, the result from the Carreau model showed very little difference, in terms of velocity, pressure and wall shear stress, whereas the result from the Power Law model showed more significant vortices and smaller wall shear stresses. The highest stress concentration was also found at the throat of the stenosis.

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Authors

W. Y. Chan
School of Aerospace, Mechanical and Manufacturing Engineering, RMIT University, Melbourne, Australia. http://www.rmit.edu.au/browse/?QRY=jiyuan+Tu&STYPE=PEOPLE
Y. Ding
School of Mathematical and Geospatial Sciences, RMIT University, Melbourne, Australia. http://www.rmit.edu.au/browse/?QRY=Yan+Ding&STYPE=PEOPLE
J. Y. Tu

Published January 4, 2007. ISSN 1446-8735

References

  1. P. D. Ballyk, D. A. Steinman and C. R. Ethier. Simulation of non-Newtonian blood flow in an end-to-side anastomosis. Biorheology, 44(5):565--586, 1994.
  2. Y. I. Cho and K. R. Kensey. Effects of the non-Newtonian viscosity of blood on hemodynamics of diseased arterial flows. Advances in Bioengineering, BED 15:147--148, 1989.
  3. K. Imaeda and F. O. Goodman. Analysis of nonlinear pulsatile blood flow in arteries. Journal of Biomechanics, 13:165--174: 1980.
  4. B. M. Johnston, P. R. Johnston, S. Corney and D. Kilpatrick. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. Journal of Biomechanics, 37: 709--720, 2004. doi:10.1016/j.jbiomech.2003.09.016
  5. K. W. Lee and X. Y. Xu. Modelling of flow and wall behaviour in a mildly stenosed tube. Medical Engineering & Physics, 24:575--586, 2002. doi:10.1016/S1350-4533(02)00048-6
  6. M. Ojha, R. S. C. Cobbold, K. W. Johnston and R. L. Hummel. Pulsatile flow through constricted tubes: an experimental investigation using photochromic tracer methods. Journal of Fluid Mechanics, 203:173--197, 1989.
  7. T. J. Pedley. The Fluid Mechanics of Large Blood Vessels, Cambridge University Press, 1980.
  8. K. Perktold, R. Peter and M. Resch. Pulsatile non-Newtonian blood flow simulation through a bifurcation with an aneurysm. Biorheology, 26:1011--1030, 1989.
  9. W. Y. Chan, Simulation of Arterial Stenosis Incorporating Fluid Structural Interaction and non Newtonian Blood Flow. Master's Thesis, RMIT University, Australia, 2006.
  10. F. T. Smith. The separation flow through a severely constricted symmetric tube. Journal of Fluid Mechanics, 90: 725--754, 1979.
  11. D. Tang, C. Yang, S. Kobayashi and D. N. Ku. Generalized finite difference method for 3-D viscous flow in stenotic tubes with large wall deformation and collapse. Applied Numerical Mathematics, 38: 49--68, 2001. doi:10.1016/S0168-9274(00)00062-3
Copyright Austral. Mathematical Soc.; prepared January 4, 2007, from Chan.tex with anziamje.sty (v2.4)