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Vortex Shedding in Steady Flow Through a Model of an Arterial Stenosis and Its Relevance to Mural Platelet Deposition

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Abstract

In this study, the development of unsteady vortical formations in the separated flow region distal to a stenosis throat is presented and compared with the platelet deposition measurements, to enhance our understanding of the mechanisms involved in platelet kinetics in flowing blood. Qualitative and quantitative flow visualization and numerical simulations were performed in a model of a streamlined axisymmetric stenosis with an area reduction of 84% at the throat of the stenosis. Measurements were performed at Reynolds numbers (Re), based on upstream diameter and average velocity, ranging from 300 to 1800. Both the digital particle image visualization method employed and the numerical simulations were able to capture the motion of the vortices through the separated flow region. Periodic shedding of vortices began at approximately Re=375 and continued for the full range of Re studied. The locales at which these vortices are initiated, their size, and their life span, were a function of Re. The numerical simulations of turbulent flow through the stenosis model entailed a detailed depiction of the process of vortex shedding in the separated flow region downstream of the stenosis. These flow patterns were used to elucidate the mechanisms involved in blood platelet kinetics and deposition in the area in and around an arterial stenosis. The unsteady flow development in the recirculation region is hypothesized as the mechanism for observed changes in the distribution of mural platelet deposition between Re=300, 900, and 1800, despite only a marginal variation in the size and shape of the recirculation zone under these flow conditions. © 1999 Biomedical Engineering Society.

PAC99: 8719Uv, 8710+e

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REFERENCES

  1. Addonizio, V. P., and Z. H. Edmunds. Thromboembolic complications of prosthetic valves. Cardiovasc. Clinics. 3:431–435, 1985.

    Google Scholar 

  2. Ahmed, S. A. and D. P. Giddens. Velocity measurements in steady flow through axisymmetric stenoses at moderate Reynolds numbers. J. Biomech. 16:505–516, 1983.

    Google Scholar 

  3. Bluestein, D., L. Niu, R. T. Schoephoerster, and M. K. Dewanjee. Fluid mechanics of arterial stenosis: Relationship to the development of mural thrombus. Ann. Biomed. Eng. 25:344–356, 1997.

    Google Scholar 

  4. Chandran, K. B. Heart valve prostheses: In vitro flow dynamics, in Encyclopedia for Medical Instrumentation, edited by J. G. Webster. New York: Wiley, 1988, Vol. 3, pp. 1475–1483.

    Google Scholar 

  5. Dewanjee, M. K., S. A. Rao, and P. Didisheim. Indium-111 tropolone, a new platelet label: Preparation and evaluation of labeling parameters. J. Nucl. Med. 22:981–987, 1981.

    Google Scholar 

  6. Dewanjee, M. K. In-111 platelets in bypass grafts: Experimental and clinical applications, in Radiolabeled Cellular Elements of Blood, edited by M. L. Thakur, M. Hardeman, and M. D. Ezekowitz. New York: Plenum, 1985, pp. 229–263.

    Google Scholar 

  7. Dintenfass, L. Rheological approach to thrombosis and atherosclerosis. Angiology 15:333–343, 1964.

    Google Scholar 

  8. Fearn, R. M., T. Mullin, and K. A. Cliffe. Nonlinear flow phenomena in a symmetric sudden expansion. J. Fluid Mech. 211:595–608, 1990.

    Google Scholar 

  9. Gosman, A. D., and L. Ioannides. Aspects of computer simulation of liquid-fueled cumbustors, AIAA 19th Aerospace Science Meeting, Paper no. 81–0323, 1981.

  10. Gross, J. M., C. D. Shermer, and N. H. C. Hwang. Vortex shedding in bileaflet heart valve prostheses. Trans. Am. Soc. Artif. Intern. Organs 34:845–850, 1988.

    Google Scholar 

  11. Guyton, A. C. Textbook of Medical Physiology, eighth ed. Philadelphia: Saunders, 1991, pp. 390–399.

    Google Scholar 

  12. Hussain, A. K. M. F. Mechanics of pulsatile flows of relevance to the cardiovascular system. In Cardiovascular Flow Dynamics and Measurements, edited by N. H. C. Hwang and N. A. Norman: University Park Press, 1975, Chap. 15, pp. 541–633.

  13. A. K. M. F. Hussain. Coherent structures and turbulence. J. Fluid Mech. 173:303–356, 1986.

    Google Scholar 

  14. Merrill, E. W., E. R. Gilliland, G. R. Cokelet, H. Shin, A. Britten, and R. E. Wells. Rheology of human blood, near and at zero flow. Biophys. J. 3:199–213, 1963.

    Google Scholar 

  15. Muneretto, C., E. Solis, A. Pavie, P. Leger, I. Gandjbakhch, J. Szefner, V. Bors, C. Piazza, A. Cabrol, and C. Cabrol. Total artificial heart: Survival and complications, Ann. Thorac. Surg. 47:151–157, 1989.

    Google Scholar 

  16. Ojha, M. Flow separation and the transition to unsteadiness, Advances in Bioengineering, New York: ASME, 1995, Vol. 29, pp. 347–348.

    Google Scholar 

  17. Ojha, M., R. S. C. Cobbold, K. W. Johnston, and R. L. Hummel. Pulsatile flow through constricted tubes: an experimental investigation using photochromic tracer methods. J. Fluid Mech. 203:173–197, 1989.

    Google Scholar 

  18. Pauley, L. L., P. Moin, and W. C. Reynolds. The structure of two-dimensional separation. J. Fluid Mech. 220:397–411, 1990.

    Google Scholar 

  19. Saad, Y. and M. H. Schultz. GMRES: a generalized minimal residuals algorithm for solving nonsymmetric linear systems. Math. Comput. 44:417–424, 1983.

    Google Scholar 

  20. Schoephoerster, R. T., F. Oynes, G. Nunez, M. Kapadvanjwala, and M. K. Dewanjee. Effects of local geometry and fluid dynamics on regional platelet deposition on artificial surfaces. Arterioscler. Thromb. 13:1806–1813, 1993.

    Google Scholar 

  21. Stein, P. D. and H. N. Sabbah. Measured turbulence and its effect on thrombus formation. Circ. Res. 35:608–614, 1974.

    Google Scholar 

  22. Thornburg, H. J., U. Ghia, G. A. Osswald, and K. N. Ghia. Efficient computation of vortical flow using flow-adaptive time-dependent grids. Fluid Dyn. Res. 10:371–397, 1992.

    Google Scholar 

  23. White, F. M. Fluid Mechanics. New York: McGraw-Hill, 1979, pp. 278–279.

    Google Scholar 

  24. Wilcox, D. C. Turbulence Modeling for CFD. La Canada, California: DWC Industries, 1993.

    Google Scholar 

  25. Wilcox, D. C. Simulation of transition with a two-equation turbulence model. AIAA J. 32:247–255, 1994.

    Google Scholar 

  26. Willert, C. E. and M. Gharib. Digital particle image velocimetry. Exp. Fluids 10:181–193, 1991.

    Google Scholar 

  27. Wurzinger, L. J. and H. Schmid-Schoenbein. The role of fluid dynamics in triggering and amplifying hemostatic reactions in thrombogenesis. Blood flow in large arteries: Application to Atherogenesis and Clinical Medicine. Monogr. Atheroscler. Liepsch (ed): Basel, Karger, 1990, Vol. 15, pp. 215–226.

    Google Scholar 

  28. Yellin, E. L. Laminar-turbulent transition process in pulsatile flow. Circ. Res. 19:791–804, 1966.

    Google Scholar 

  29. Yoganathan, A. P., N. H. Corcoran, E. C. Harrison, and J. R. Carl. The Bjork-Shiley aortic prosthesis: Flow characteristics, thrombus formation and tissue overgrowth. Circulation 53:70–75, 1978.

    Google Scholar 

  30. Young, D. F. Fluid mechanics of arterial stenosis. J. Biomech. Eng. 101:157–175, 1979.

    Google Scholar 

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Bluestein, D., Gutierrez, C., Londono, M. et al. Vortex Shedding in Steady Flow Through a Model of an Arterial Stenosis and Its Relevance to Mural Platelet Deposition. Annals of Biomedical Engineering 27, 763–773 (1999). https://doi.org/10.1114/1.230

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