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Volume 2012 (2012), Article ID 853056, 17 pages
Effect of Pulsatile Flow Waveform and Womersley Number on the Flow in Stenosed Arterial Geometry
1Department of Mechanical Engineering, Future Institute of Engineering and Management, Kolkata 700150, India
2Department of Power Engineering, Jadavpur University, Kolkata 700098, India
Received 8 August 2012; Accepted 8 October 2012
Academic Editors: H. S. Hedia, T. J. Hund, and J. Suehnel
Copyright © 2012 Moloy Kumar Banerjee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Centers for Disease Control and Prevention, National Center for Health Statistics and National Center for Chronic Disease Prevention and Health Promotion, 1999.
- J. M. Tarbell, “Mass transport in arteries and the localization of atherosclerosis,” Annual Review of Biomedical Engineering, vol. 5, pp. 79–118, 2003.
- S. Q. Liu, “Focal expression of angiotensin II type 1 receptor and smooth muscle cell proliferation in the neointima of experimental vein grafts relation to eddy blood flow,” Arteriosclerosis, Thrombosis, and Vascular Biology, vol. 19, no. 11, pp. 2630–2639, 1999.
- T. Zand, A. H. Hoffman, B. J. Savilonis et al., “Lipid deposition in rat aortas with intraluminal hemispherical plug stenosis: a morphological and biophysical study,” American Journal of Pathology, vol. 155, no. 1, pp. 85–92, 1999.
- D. N. Ku, D. P. Giddens, C. K. Zarins, and S. Glagov, “Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low and oscillating shear stress,” Arteriosclerosis, vol. 5, no. 3, pp. 293–302, 1985.
- D. M. Wootton and D. N. Ku, “Fluid mechanics of vascular systems, diseases, and thrombosis,” Annual Review of Biomedical Engineering, no. 1, pp. 299–329, 1999.
- R. M. Nerem, “Hemodynamics and the vascular endothelium,” Journal of Biomechanical Engineering, vol. 115, no. 4, pp. 510–514, 1993.
- J.-J. Chiu, D. L. Wang, S. Chien, R. Skalak, and S. Usami, “Effects of disturbed flow on endothelial cells,” Journal of Biomechanical Engineering, vol. 120, no. 1, pp. 2–8, 1998.
- S. J. Sherwin and H. M. Blackburn, “Three-dimensional instabilities and transition of steady and pulsatile axisymmetric stenotic flows,” Journal of Fluid Mechanics, vol. 533, pp. 297–327, 2005.
- D. N. Ku, M. N. Zeigler, and J. M. Downing, “One-dimensional steady inviscid flow through a stenotic collapsible tube,” Journal of Biomechanical Engineering, vol. 112, no. 4, pp. 444–450, 1990.
- M. Ojha, R. S. C. Cobbold, K. W. Johnston, and R. L. Hummel, “Detailed visualization of pulsatile flow fields produced by modelled arterial stenoses,” Journal of Biomedical Engineering, vol. 12, no. 6, pp. 463–469, 1990.
- A. S. Dvinsky and M. Ojha, “Simulation of three-dimensional pulsatile flow through an asymmetric stenosis,” Medical and Biological Engineering and Computing, vol. 32, no. 2, pp. 138–142, 1994.
- D. N. Ku, “Blood flow in arteries,” Annual Review of Fluid Mechanics, vol. 29, pp. 399–434, 1997.
- 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, vol. 203, pp. 173–197, 1989.
- S. A. Berger and L. D. Jou, “Flows in stenotic vessels,” Annual Review of Fluid Mechanics, vol. 32, pp. 347–382, 2000.
- S. A. Ahmed and D. P. Giddens, “Pulsatile poststenotic flow studies with laser Doppler anemometry,” Journal of Biomechanics, vol. 17, no. 9, pp. 695–705, 1984.
- M. Siouffi, V. Deplano, and R. Pélissier, “Experimental analysis of unsteady flows through a stenosis,” Journal of Biomechanics, vol. 31, no. 1, pp. 11–19, 1997.
- V. Deplano and M. Siouffi, “Experimental and numerical study of pulsatile flows through stenosis: wall shear stress analysis,” Journal of Biomechanics, vol. 32, no. 10, pp. 1081–1090, 1999.
- J. Brunette, R. Mongrain, J. Laurier, R. Galaz, and J. C. Tardif, “3D flow study in a mildly stenotic coronary artery phantom using a whole volume PIV method,” Medical Engineering and Physics, vol. 30, no. 9, pp. 1193–1200, 2008.
- H. Berglund, H. Luo, T. Nishioka et al., “Highly localized arterial remodeling in patients with coronary atherosclerosis: an intravascular ultrasound study,” Circulation, vol. 96, no. 5, pp. 1470–1476, 1997.
- E. Falk, P. K. Shah, and V. Fuster, “Coronary plaque disruption,” Circulation, vol. 92, no. 3, pp. 657–671, 1995.
- A. Jeremias, H. Huegel, D. P. Lee et al., “Spatial orientation of atherosclerotic plaque in non-branching coronary artery segments,” Atherosclerosis, vol. 152, no. 1, pp. 209–215, 2000.
- C. Tu and M. Deville, “Pulsatile flow of Non-Newtonian fluids through arterial stenoses,” Journal of Biomechanics, vol. 29, no. 7, pp. 899–908, 1996.
- E. Y. K. Ng, W. L. Siauw, and W. E. W. Goh, “Numerical study of unsteady stenosis flow: parametric evaluation of power-law model,” Journal of Medical Engineering and Technology, vol. 24, no. 5, pp. 203–209, 2000.
- J. R. Buchanan, C. Kleinstreuer, and J. K. Comer, “Rheological effects on pulsatile hemodynamics in a stenosed tube,” Computers and Fluids, vol. 29, no. 6, pp. 695–724, 2000.
- B. M. Johnston, P. R. Johnston, S. Corney, and D. Kilpatrick, “Non-Newtonian blood flow in human right coronary arteries: transient simulations,” Journal of Biomechanics, vol. 39, no. 6, pp. 1116–1128, 2006.
- S. Amornsamankul, B. Wiwatanapataphee, Y. H. Wu, and Y. Lenbury, “Effect of non-newtonian behaviour of blood on pulsatile flows in stenotic arteries,” International Journal of Biomedical Science, vol. 1, no. 1, pp. 42–46, 2006.
- T. J. Pedley, The Fluid Mechanics of Large Blood Vessels, Cambridge University Press, Cambridge, UK, 1980.
- M. S. Moayeri and G. R. Zendehbudi, “Effects of elastic property of the wall on flow characteristics through arterial stenoses,” Journal of Biomechanics, vol. 36, no. 4, pp. 525–535, 2003.
- J. C. Misra and S. Chakravarty, “Flow in arteries in the presence of stenosis,” Journal of Biomechanics, vol. 19, no. 11, pp. 907–918, 1986.
- J. C. Misra, M. K. Patra, and S. C. Misra, “A non-Newtonian fluid model for blood flow through arteries under stenotic conditionse,” Journal of Biomechanics, vol. 26, no. 9, pp. 1129–1141, 1993.
- N. Stergiopulos, M. Spiridon, F. Pythoud, and J. J. Meister, “On the wave transmission and reflection properties of stenoses,” Journal of Biomechanics, vol. 29, no. 1, pp. 31–38, 1996.
- J. S. Stroud, S. A. Berger, and D. Saloner, “Influence of stenosis morphology on flow through severely stenotic vessels: implications for plaque rupture,” Journal of Biomechanics, vol. 33, no. 4, pp. 443–455, 2000.
- C. J. Mills, I. T. Gabe, J. H. Gault et al., “Pressure-flow relationships and vascular impedance in man,” Cardiovascular Research, vol. 4, no. 4, pp. 405–417, 1970.
- G. R. Zendehbudi and M. S. Moayeri, “Comparison of physiological and simple pulsatile flows through stenosed arteries,” Journal of Biomechanics, vol. 32, no. 9, pp. 959–965, 1999.
- D. A. McDonald, Blood Flow in Arteries, Edward Arnold, 2nd edition, 1974.
- K. W. Lee and X. Y. Xu, “Modelling of flow and wall behaviour in a mildly stenosed tube,” Medical Engineering and Physics, vol. 24, no. 9, pp. 575–586, 2002.
- B. Wiwatanapataphee, D. Poltem, Y. H. Wu, and Y. Lenbury, “Simulation of pulsatile flow of blood in stenosed coronary artery bypass with graft,” Mathematical Biosciences and Engineering, vol. 3, no. 2, pp. 371–383, 2006.
- Q. Long, X. Y. Xu, K. V. Ramnarine, and P. Hoskins, “Numerical investigation of physiologically realistic pulsatile flow through arterial stenosis,” Journal of Biomechanics, vol. 34, no. 10, pp. 1229–1242, 2001.
- B.-K. Koo, A. Erglis, J.-H. Doh, et al., “Diagnosis of ischemia-causing coronary stenoses by noninvasive fractional flow reserve computed from coronary computed tomographic angiograms: results from the prospective multicenter DISCOVER-FLOW (Diagnosis of Ischemia-Causing Stenoses Obtained Via Noninvasive Fractional Flow Reserve) study,” Journal of the American College of Cardiology, vol. 58, no. 19, pp. 1989–1997, 2011.
- E. Wellnhofer, J. Osman, U. Kertzscher, K. Affeld, E. Fleck, and L. Goubergrits, “Flow simulation studies in coronary arteries-Impact of side-branches,” Atherosclerosis, vol. 213, no. 2, pp. 475–481, 2010.
- K. Govindaraju, I. A. Badruddin, G. N. Viswanathan, S. V. Ramesh, and A. Badarudin, “Evaluation of functional severity of coronary artery disease and fluid dynamics’ influence on hemodynamic parameters: a review,” Physica Media. In press.
- C. G. Caro, T. J. Pedley, R. C. Schroter, and W. A. Seed, The Mechanics of the Circulation, Oxford Medical, New York, NY, USA, 1978.
- O. R. Tutty, “Pulsatile flow in a constricted channel,” Journal of Biomechanical Engineering, vol. 114, no. 1, pp. 50–54, 1992.
- P. Neofytou and S. Tsangaris, “Computational haemodynamics and the effects of Blood rheological models on the flow through an Arterial stenosis,” in European Congress on Computational Methods in Applied Sciences and Engineering, July 2004.
- Y. C. Fung, Biomechanics Circulation, Springer, 1996.
- F. Nataf, “An open boundary condition for the computation of the steady incompressible Navier-Stokes equations,” Journal of Computational Physics, vol. 85, no. 1, pp. 104–129, 1989.
- X. He and D. N. Ku, “Unsteady entrance flow development in a straight tube,” Journal of Biomechanical Engineering, vol. 116, no. 3, pp. 355–360, 1994.
- J. R. Womersley, “Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known,” The Journal of Physiology, vol. 127, no. 3, pp. 553–563, 1955.
- M. K. Banerjee, D. Nag, R. Ganguly, and A. Datta, “Stenotic interaction on haemodynamic parameters in double stenoses,” International Journal of Computational Fluid Dynamics, vol. 22, no. 9, pp. 609–622, 2008.
- D. Nag and A. Datta, “Steady laminar flow of blood through successive restrictions in circular conduits of small diameter,” Proceedings of the Institution of Mechanical Engineers C, vol. 222, no. 8, pp. 1557–1573, 2008.
- S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, Washington, DC, USA, 1980.
- A. B. M. Hasan and D. K. Das, “Numerical simulation of sinusoidal fluctuated pulsatile laminar flow through stenotic artery,” Journal of Applied Fluid Mechanics, vol. 1, no. 2, pp. 25–35, 2008.
- E. Nagel, A. Bornstedt, J. Hug, B. Schnackenburg, E. Wellnhofer, and E. Fleck, “Noninvasive determination of coronary blood flow velocity with magnetic resonance imaging: comparison of breath-hold and navigator techniques with intravascular ultrasound,” Magnetic Resonance in Medicine, vol. 41, no. 3, pp. 544–549, 1999.
- M. J. Kern, “Curriculum in interventional cardiology: coronary pressure and flow measurements in the cardiac catheterization laboratory,” Catheterization and Cardiovascular Interventions, vol. 54, no. 3, pp. 378–400, 2001.
- P. Papathanasopoulou, S. Zhao, U. Köhler et al., “MRI measurement of time-resolved wall shear stress vectors in a carotid bifurcation model, and comparison with CFD predictions,” Journal of Magnetic Resonance Imaging, vol. 17, no. 2, pp. 153–162, 2003.
- C. L. Feldman and P. H. Stone, “Intravascular hemodynamic factors responsible for progression of coronary atherosclerosis and development of vulnerable plaque,” Current Opinion in Cardiology, vol. 15, no. 6, pp. 430–440, 2000.
- R. Krams, J. J. Wentzel, J. A. F. Oomen et al., “Evaluation of endothelial shear stress and 3D geometry as factors determining the development of atherosclerosis and remodeling in human coronary arteries in vivo: combining 3D reconstruction from angiography and IVUS (ANGUS) with computational fluid dynamics,” Arteriosclerosis, Thrombosis, and Vascular Biology, vol. 17, no. 10, pp. 2061–2065, 1997.
- P. H. Stone, A. U. Coskun, S. Kinlay et al., “Effect of endothelial shear stress on the progression of coronary artery disease, vascular remodeling, and in-stent restenosis in humans: in vivo 6-month follow-up study,” Circulation, vol. 108, no. 4, pp. 438–444, 2003.