Blood flow in stenosed arteries using two way, fluid-structural interaction

Colin Xu-Chao Chen, Yan Ding, John Anthony Gear

Abstract


Blood flow in a stenosed artery was simulated using the two way, fluid-structural interactions in ANSYS---a commercial finite element and finite volume software widely used in industry. Several stenosis models were investigated using a pulsatile flow condition. In these models the form of the stenosis geometry was either axisymmetric or axis-asymmetric. The blood was modelled both as a non-Newtonian, power law fluid, and as the Casson model. The artery tissue was assumed to be a linear elastic material for the axis-symmetric stenosis model and nonlinear material for the axis-asymmetric stenosis models. A fibrous cap and lipid pool were also added into the stenosis geometry of the axis-asymmetric models to account for complexities of the physiology. The effect of the stenosis severity on arteries was investigated by examining the blood flow velocity, pressure and wall shear stress at multiple locations.

References
  • K. C. Ang and J. N. Mazumdar, Mathematical modelling of three-dimensional flow through an asymmetric arterial stenosis, Mathematical and Computer Modelling, 25, No 1, 19--29, 1997, doi:10.1016/S0895-7177(96)00182-3.
  • W. Y. Chan, Y. Ding, J. Y. Tu, Modeling of non-Newtonian blood flow through a stenosed artery incorporating fluid-structure interaction, ANZIAM Journal, 47, 507--523, 2007, http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1059.
  • Santabrata Chakravarty and Prashanta Kumar Mandal, Two-Dimensional blood flow through tapered arteries under stenotic conditions, Non-Linear Mechanics, 35, 779--793, August, 2006, doi:10.1016/S0020-7462(99)00059-1.
  • Samuel A. Kock and Jens V. Nygaard. Nikolaj Eldrup,Ernst-Torben Frund and Anette Klaeke, William P.Pausk. Erling Falk and W.Yong Kim, Mechanical Stresses in carotid plaques using MRI-based fluid-structure interaction models, Journal of Biomechanics, 41, 1651--1658, March, 2008, doi:10.1016/j.jbiomech.2008.03.019.
  • K. W. Lee and X. Y. Xu, Modelling of flow and wall behaviour in a mildly stenosed tube, Medical Engineering and Physics, 24, 575--586, May, 2002, doi:10.1016/S1350-4533(02)00048-6.
  • M. X. Li and J. J. Beech-Brandt and L. R. John and P. R. Hoskins and W. J. Easson, Numerical analysis pulsatile blood flow and vessel wall mechanics in different degrees of stenoses, Journal of Biomechanics, 40, 3715--3724, June, 2007, doi:10.1016/j.jbiomech.2007.06.023.
  • B. Pincombe and J. Mazumdar, The effects of post-stenotic dilatations on the flow of a blood analogue through stenosed coronary arteries, Mathematical and Computer Modelling, 25, No 6, 57--70, 1997, doi:10.1016/S0895-7177(97)00039-3.
  • J. Poiseuille, Observations of blood flow, Ann. Sci. Naturelles Srie 5, 2, 1836.
  • S. U. Siddiqui and N. K. Verma and Shailesh Mishra and R. S. Gupta, Mathematical modelling of pulsatile flow of Cassons fluid in arterial stenosis, Applied Mathematics and Computation, 2007, doi:10.1016/j.amc.2007.05.070.
  • S. U. Siddiqui and Shailesh Mishra, A study of modified Casson's fluid in modelled normal and stenotic capillary-tissue diffusion phenomena, Applied Mathematics and Computation, 189, 1048--1057, 2007, doi:10.1016/j.amc.2006.11.151.
  • Dalin Tang and Chun Yang and David N. Ku, A 3D thin-wall model with fluid-structure interactions for blood flow in carotid arteries with symmetric and asymmetric stenoses, Computers and Structures, 72, 357--377, 1999, doi:10.1016/S0045-7949(99)00019-X.
  • Dalin Tang and Chun Yang and Yan Huang and David N. Ku, Wall stress and strain analysis using a three-dimensional thick-wall model with fluid-structure interactions for blood flow in carotid arteries with stenoses, Computers and Structures, 72, 341--356, May, 1999, doi:10.1016/S0045-7949(99)00009-7.
  • Dalin Tang, Chun Yang, Jie Zheng, Pamela K. Woodard, Gregorio A. Sicard, Jeffrey E. Saffiz, Shunichi Kobayashi, Thomas K. Pilgram, and Chun Yuan, 3D computational mechanical analysis for human Atherosclerotic plaques using MRI-based models with fluid-structure interactions, MICCAI, 328--336, 2004.
  • Dalin Tang and Chun Yang and Jie Zheng and Pamela K.Woodard and Gregorio A.Sicard and Jefferey E. Saffitz and Chun Yuan, 3D mri-based multicomponent fsi models for artherosclerotic plaques, Biomedical Engineering, 32, 947--960, July, 2004.

Keywords


Fluid-Structural Interaction (FSI); Non-Newtonian fluid; Stenosis; Artery; Blood flow.

Full Text:

PDF BibTeX


DOI: http://dx.doi.org/10.21914/anziamj.v51i0.2575



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.