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CFD Simulation of Non-Newtonian Fluid Flow in Arterial Stenoses with Surface Irregularities
Authors: R. Manimaran
Abstract:
CFD simulations are carried out in arterial stenoses with 48 % areal occlusion. Non-newtonian fluid model is selected for the blood flow as the same problem has been solved before with Newtonian fluid model. Studies on flow resistance with the presence of surface irregularities are carried out. Investigations are also performed on the pressure drop at various Reynolds numbers. The present study revealed that the pressure drop across a stenosed artery is practically unaffected by surface irregularities at low Reynolds numbers, while flow features are observed and discussed at higher Reynolds numbers.Keywords: Blood flow, Roughness, Computational fluid dynamics, Bio fluid mechanics.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1332390
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[1] Back, L.H., Cho, Y.I., Crawford, D.W., Cuffel, R.F., 1984. Effect of mild atherosclerosis on flow resistance in a coronary artery casting of man. ASME Journal of Biomechanical Engineering 106, 48-53.
[2] Fluent Inc., 2006. Fluent User's Guide.
[3] Haldar, K., 1985. Effects of the shape of stenosis on the resistance to blood flow through an artery. Bulletin of Mathematical Biology 47, 545- 550.
[4] Hellevik, L.R., Kiserud, T., Irgens, F., Ytrehus, T., Eik-Nes, S.H., 1998.
[5] Simulation of pressure drop and energy dissipation for blood flowin a human fetal bifurcation. ASME Journal of Biomechanical Engineering 120, 455-462.
[6] Johnston, P.R., Kilpatrick, D., 1991. Mathematical modelling of flow through an irregular arterial stenosis. Journal of Biomechanics 24, 1069- 1077.
[7] Young, D.F., 1968. Effect of a time dependent stenosis on flow through a tube. ASME Journal of Engineering for Industry 90, 248-254.
[8] Asakura, T., Karino, T., 1990. Flow patterns and spatial distribution of atherosclerotic lesions in human coronary arteries. Circulation Research 66, 1054-1066.
[9] Ballyk, P.D., Steinman, D.A., Ethier, C.R., 1994. Simulation of non- Newtonian blood flow in an end-to-end anastomosis. Biorheology 31 (5), 565-586.
[10] Berger, S.A., Jou, L.-D., 2000. Flows in stenotic vessels. Annual Review of Fluid Mechanics 32, 347-382.
[11] Berthier, B., Bouzerar, R., Legallais, C., 2002. Blood flow patterns in an anatomically realistic coronary vessel: influence of three different reconstruction methods. Journal of Biomechanics 35, 1347-1356.
[12] Caro, C.G., 2001. Vascular fluid dynamics and vascular biology and disease. Mathematical Methods in the Applied Sciences 24, 1311-1324.
[13] Caro, C.G., Fitz-Gerald, J.M., Schroter, R.C., 1971. Atheroma and arterial wall shear: observation, correlation and proposal of a shear dependent mass transfer mechanism for atherogenesis. Proceedings of the Royal Society of London B 177, 109-159.
[14] Cho, Y.I., Kensey, K.R., 1991. Effects of the non-Newtonian viscosity of blood on flows in a diseased arterial vessel. Part 1: steady flows. Biorheology 28, 241-262.
[15] Corney, S., Johnston, P.R., Kilpatrick, D., 2001. Cyclic flow patterns in human coronary arteries. In: Computers in Cardiology, IEEE Press, New York, pp. 21-24.
[16] Corney, S., Johnston, P.R., Kilpatrick, D., 2004. Construction of realistic branched, three-dimensional arteries suitable for computational modelling of flow. Medical and Biological Engineering and Computing 42, 660-668.
[17] Feldman, C.L., Ilegbusi, O.J., Hu, Z., Nesto, R., Waxman, S., Stone, P.H., 2002. Determination of in vivo velocity and endothelial shear stress patterns with phasic flow in human coronary arteries: a methodology to predict progression of coronary athersclerosis. American Heart Journal 143, 931-939.
[18] Fry, D., 1968. Acute vascular endothelial changes associated with increased blood velocity gradients. Circulation Research 22, 165-197.
[19] Fung, Y.C., 1993. Biomechanics: Mechanical Properties of Living Tissues, second ed. Springer, Berlin.
[20] Giddens, D.P., Zarins, C.K., Glagov, S., 1990. Response of arteries to near wall fluid dynamic behavior. Applied Mechanics Review 43 (2), S98-S102.
[21] Gijsen, F.J.H., Allanic, E., van de Vosse, F.N., Janssen, J.D., 1999. The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a curved tube. Journal of Biomechanics 32, 705-713.
[22] Johnston, B.M., Johnston, P.R., Corney, S., Kilpatrick, D., 2004. Non- Newtonian blood flow in human right coronary arteries: steady state simulations. Journal of Biomechanics 37 (5), 709-720.
[23] Kirpalani, A., Park, H., Butany, J., Johnston, K.W., Ojha, M., 1999. Velocity and wall shear stress patterns in the human right coronary artery. Journal of Biomechanical Engineering 121, 370-375.
[24] Krams, R., Wentzel, J.J., Oomen, J.A.F., Vinke, R.H., Schuurbiers, J.C., de Feyter, P.J., Serruys, P.W., Slager, C.J., 1997. Evaluation of endothelial shear stress and 3D geometry as factors determining the development of atherosclerosis and remodelling in human coronary arteries in vivoÔÇöcombining 3D reconstruction from angiography and IVUS (ANGUS) with computational fluid dynamics. Arteriosclerosis, Thrombosis and Vascular Biology 17, 2061-2065.
[25] Ku, D., Giddens, D., Zarins, C., Glagov, S., 1985. Pulsatile flow and atherosclerosis in the human carotid bifurcation: positive correlation between plaque and low and oscillating shear stress. Arteriosclerosis 5, 293-302.
[26] Liepsch, D., 2002. An introduction to biofluid mechanicsÔÇöbasic models and applications. Journal of Biomechanics 35, 415-435.
[27] Matsuo, S., Tsuruta, M., Hayano, M., Immamura, Y., Eguchi, Y., Tokushima, T., Tsuji, S., 1988. Phasic coronary artery flow velocity determined by Doppler flowmeter catheter in aortic stenosis and aortic regurgitation. The American Journal of Cardiology 62 (1), 917-922.
[28] Myers, J.G., Moore, J.A., Ojha, M., Johnston, K.W., Ethier, C.R., 2001. Factors influencing blood flow patterns in the human right coronary artery. Annals of Biomedical Engineering 29,109-120.
[29] Ojha, M., Leask, R.L., Butany, J., Johnston, K.W., 2001. Distribution of intimal and medial thickening in the human right coronary artery: a study of 17 RCAs. Atherosclerosis 158, 147-153.
[30] Pedley, T.J., 1980. The Fluid Mechanics of Large Blood Vessels. Cambridge University Press, Cambridge.
[31] Perktold, K., Resch, M., 1990. Numerical flow studies in human carotid artery bifurcations: basic discussion of the geometry factor in atherogenesis. Journal of Biomedical Engineering 12, 111-123. Perktold, 409-420.
[32] Rodkiewicz, C.M., Sinha, P., Kennedy, J.S., 1990. On the application of a constitutive equation for whole human blood. Journal of Biomechanical Engineering 112, 198-206.
[33] Tu, C., Deville, M., 1996. Pulsatile flow of non-Newtonian fluids through arterial stenoses. Journal of Biomechanics 29 (7), 899-908.
[34] van de Vosse, F.N., Gijsen, F.J.H., Wolters, B.J.B.M., 2001. Numerical analysis of coronary artery flow. In: 2001 Bioengineering Conference, vol. 50. ASME, New York, pp. 17-18.
[35] van Langenhove, G., Wentzel, J.J., Krams, R., Slager, C.J., Hamburger, J.N., Serruys, P.W., 2000. Helical velocity patterns in a human coronary artery. Circulation 102, e22-e24.
[36] Walburn, F.J., Schneck, D.J., 1976. A constitutive equation for whole human blood. Biorheology 13, 201-210.
[37] Wentzel, J.J., Gijsen, F.J.H., Stergiopulos, N., Seruys, P.W., Slager, C.J., Krams, R., 2003. Shear stress, vascular remodeling and neointimal formation. Journal of Biomechanics 36, 681-688.
[38] Zeng, D., Ding, Z., Friedman, M.H., Ethier, C.R., 2003. Effects of cardiac motion on right coronary artery hemodynamics. Annals of Biomedical Engineering 31, 420-429.
[39] Zhu, H., Warner, J.J., Gehrig, T.R., Friedman, M.H., 2003.Comparison of coronary artery dynamics pre- and post-stenting. Journal of Biomechanics 36, 689-697.