CFD Simulation of Non-Newtonian Fluid Flow in Arterial Stenoses with Surface Irregularities

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.

Authors:

• R. Manimaran

Keywords:

• Blood flow
• Roughness
• Computational fluid dynamics
• Bio fluid mechanics.

References:

[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.