Numerical investigation of the effects of wall flexibility on the infiltration parameters of a symmetric carotid artery stenosis with a two-layer hyperelastic structure

Nahidi, Saeed; Hossein-Nezhad, Alireza; Fatouraee, Nasser; Heidari, Zahra

doi:10.22041/ijbme.2013.13085

Document Type : Full Research Paper

Authors

¹ Department of Mechanical Engineering, University of Sistan and Baluchestan

² Biological Fluid Mechanics Research Laboratory, Biomedical Engineering Faculty, Amirkabir University of Technology

³ Division of Histology, Faculty of Medicine, Zahedan University of Medical Sciences

10.22041/ijbme.2013.13085

Abstract

Blood flow parameters are affected by position and shape of the accumulation of low density lipoprotein (LDL) in the layers of the arterial wall, and this phenomenon itself is influenced by infiltration flow of the blood. In this paper, in order to investigate the effect of wall flexibility on the infiltration flow in a pulsatile non-Newtonian blood flow in a symmetric carotid artery stenosis with a two flexible and porous layers, a finite element model with Porous Fluid Structure Interaction (PFSI) method was used and the results were compared to the porous rigid model. Study parameters were investigated in three different stenosis severities. Comparison of the presented results using PFSI model with those of Porous Rigid model showed about 22% decrease in wall shear stress in the stenosis region, about 20% increase in filtration velocity in the pre- and post-stenosis regions of the porous layer, but a slight difference in filtration velocity in the stenosis region.

Keywords

Main Subjects

References

[1] Mandal, D.K., Chakrabarti, S., "Two Dimensional Simulation of Steady Blood Flow Through a Stenosed Coronary Artery", Int. J. of Dynamics of Fluids, Vol. 3, N. 2, pp. 187–209, 2007.

[2] Gay, M., Zhang, L. T., "Numerical studies of blood flow in healthy, stenosed, and stented carotid arteries", Int. J. for numerical methods in fluids, 2008.

[3] Toufique hasan, A.B.C., Das, D.K., "Numaerical simulation of sinusoidal fluctuated pulsatile laminar flow through stenotic artery", J. of Applid Fluid Mechanics, Vol. 1, No. 2, pp. 25-35, 2008.

[4] Sankar, D.S., "Pulsatile Flow of a Two-Fluid Model for Blood Flow through Arterial Stenosis", Hindawi Publishing Corporation Mathematical Problemsin Engineering, Vol. 2010, 2010.

[5] Berger,S.A., Jou, L.D., "Flow in stenotic vessels", Annual Reviews of Fluid Mechanics, 32, pp. 347-382, 2000.

[6] Perktold, K., and Rappitsch, G., "Computer Simulation of Local Blood Flow and Vessel Mechanics in a Compliant Carotid Artery Bifurcation Model", J. Biomech., 28, pp. 845–856, 1995.

[7] Ishikawa, T., Guimaraes, L.F.R., Oshima, S., Yamane, R., "Effect of Non-Newtonian Property of Blood on Flow through a Stenosed Tube", Fluid Dynamic Research, Vol. 22, pp. 251-264, 1998.

[8] Modarres Razavi, M.R., Seyedein, S.H., Shahabi, P.B., "Numerical Study of Hemodynamic Wall Parameters on Pulsatile Flow through Arterial Stenosis", IUST International Journal of Engineering Science, Vol. 17 , No.3-4 , pp. 37-46, 2006.

[9] Bathe, M., Kamm, R. D., "A Fluid-Structure Interaction Finite Element Analysis of Pulsatile Blood Flow Through a Compliant Stenotic Artery", ASME J. of Biomechanical Engineering, 121, pp. 361–369, 1999.

[10] Chakravaty, S., Mandal, P. K., "Two-dimensional blood flow through tapered arteries under stenotic conditions", Int. J. of Non-Linear Mechanics, 35, pp. 779-793, 2000.

[11] Tang, D., Yang, C., Kobayashi, S., Ku, D.N., "Steady flow and wall compression in stenotic arteries: a three-dimensional thick-wall model with fluid–wall interactions", J. of Biomechanical Engineering, 123, pp. 548–557, 2001.

[12] Tang, D., Kobayashi, S., Zheng, J., "Effect of Stenosis Asymmetry on Blood Flow and Artery Compression: A Three- Dimensional Fluid Structure Interaction Model", Annals of Biomedical Engineering, 31(10): pp. 1182–1193, 2003.

[13] Tang, D., Yang, C., Zheng, J., Woodard, P.K., Sicard, G.A., Saffitz, J.E., Yuan, C., "3D MRI-based multicomponent FSI models for atherosclerotic plaques", Annals of Biomedical Engineering, 32, pp. 947–960, 2004.

[14] A. Valencia, M. Villanueva, "Unsteady flow and mass transfer in models of stenotic arteries considering fluid-structure interaction", Int. Communications in Heat and Mass Transfer, 33, pp. 966–975, 2006.

[15] Mojra, A., Tafazzoli-Shadpour, M., Tafti, E. Y., "Computational Analysis of Asymmetric Arterial Stenosis with Applications of Fluid-Solid Interaction", Biomed, IFMBE Proceedings, Vol. 15, pp. 567-571, 2007.

[16] Khanafer, K., Berguer, R., "Fluid–structure interaction analysis of turbulent pulsatile flow within a layered aortic wall as related to aortic dissection", Journal of Biomechanics , 2009.

[17] Valencia, A., Baeza, F., ''Numerical simulation of fluid–structure interaction in stenotic arteries considering two layer nonlinear anisotropic structural model'', Int. Communications in Heat and Mass Transfer, 36, pp.142-137, 2009.

[18] Chen, C. X., Ding, Y., Gear, J. A., "Blood flowin stenosed arteries using two way, Fluid-Structure Interaction", ANZIAM J., 51, pp. C586-C611, 2010.

[19] Hisada, T., Chen, X., Ando, J., Koshiba, N., "Multiphysics Simulation of Blood Flow and LDL Transport in a Porohyperelastic Arterial Wall Model", J. of Biomechanical Engineering, Vol. 129, June 2007

[20] Stangeby, D. K., and Ethier, C. R., "Computational Analysis of Coupled Blood-Wall Arterial LDL Transport", ASME J. Biomechanical Engineering, 124, pp. 1–8, 2002.

[21] Ai, L., Vafai, K., "A coupling model for macromolecule transport in a stenosed arterial wall", Int. J. of Heat and Mass Transfer, Vol. 49, pp. 1568-1591, 2006

[22] N.Yang, K.Vafai, "Modeling of low-density Lipoprotein (LDL) transport in The artery-effects of hypertension", Int. J. Heat Mass Transfer, Vol. 49, pp. 850–867 , 2006

[23] Khakpour, M., Vafai, K., “A complete analytical solution for mass transport within a multilayer arterial wall”, Int. J. Heat Mass Transfer, 51, pp. 2905–2913, 2008.

[24] Ayyalasomayajula, J., Vande Geest, P., Simon, B. R., "Porohyperelastic Finite Element Modeling of Abdominal Aortic Aneurysms", J. of Biomechanical Engineering, 132, pp. 104502–8, 2010.

[25] ADINA R & D, Inc., Theory and modeling guide, 2008.

Iranian Journal of Biomedical Engineering

Numerical investigation of the effects of wall flexibility on the infiltration parameters of a symmetric carotid artery stenosis with a two-layer hyperelastic structure

References

References

[18] Chen, C. X., Ding, Y., Gear, J. A., "Blood flowin stenosed arteries using two way, Fluid-Structure Interaction", ANZIAM J., 51, pp. C586-C611, 2010.

[19] Hisada, T., Chen, X., Ando, J., Koshiba, N., "Multiphysics Simulation of Blood Flow and LDL Transport in a Porohyperelastic Arterial Wall Model", J. of Biomechanical Engineering, Vol. 129, June 2007

[24] Ayyalasomayajula, J., Vande Geest, P., Simon, B. R., "Porohyperelastic Finite Element Modeling of Abdominal Aortic Aneurysms", J. of Biomechanical Engineering, 132, pp. 104502–8, 2010.

[25] ADINA R & D, Inc., Theory and modeling guide, 2008.

Volume 7, Issue 2 - Serial Number 2
June 2013
Pages 107-120

Numerical investigation of the effects of wall flexibility on the infiltration parameters of a symmetric carotid artery stenosis with a two-layer hyperelastic structure

References

References

[18] Chen, C. X., Ding, Y., Gear, J. A., "Blood flowin stenosed arteries using two way, Fluid-Structure Interaction", ANZIAM J., 51, pp. C586-C611, 2010.

[19] Hisada, T., Chen, X., Ando, J., Koshiba, N., "Multiphysics Simulation of Blood Flow and LDL Transport in a Porohyperelastic Arterial Wall Model", J. of Biomechanical Engineering, Vol. 129, June 2007

[24] Ayyalasomayajula, J., Vande Geest, P., Simon, B. R., "Porohyperelastic Finite Element Modeling of Abdominal Aortic Aneurysms", J. of Biomechanical Engineering, 132, pp. 104502–8, 2010.

[25] ADINA R & D, Inc., Theory and modeling guide, 2008.

Volume 7, Issue 2 - Serial Number 2June 2013Pages 107-120

Volume 7, Issue 2 - Serial Number 2
June 2013
Pages 107-120