Analysis of Blood Flow Interacted with Leaflets in MHV in View of Fluid-Structure Interaction

  • Park, Choeng-Ryul (Mechanical Engineering Department, Graduate School of Kyunghee University) ;
  • Kim, Chang-Nyung (College of Mechanical & Industrial System Engineering, Kyunghee University)
  • Published : 2001.05.01

Abstract

Interaction of blood flow and leaflet behavior in a bileaflet mechanical heart valve was investigated using computational analysis. Blood flows of a Newtonian fluid and a non-Newtonian fluid with Carreau model were modeled as pulsatile, laminar, and incompressible. A finite volume computational fluid dynamics code and a finite element structure dynamics code were used concurrently to solve the flow and structure equations, respectively, where the two equations were strongly coupled. Physiologic ventricular and aortic pressure waveforms were used as flow boundary conditions. Flow fields, leaflet behaviors, and shear stresses with time were obtained for Newtonian and non-Newtonian fluid cases. At the fully opened phase three jets through the leaflets were found and large vortices were present in the sinus area. At the very final stage of the closing phase, the angular velocity of the leaflet was enormously large. Large shear stress was found on leaflet tips and in the orifice region between two leaflets at the final stage of closing phase. This method using fluid-structure interaction turned out to be a useful tool to analyze the different designs of existing and future bileaflet valves.

Keywords

References

  1. Cerrolaza, M., Herrera, M., Berrios, R. and Annicchiarico, W., 1997, 'A Comparison of the Hydrodynamical Behaviour of Three Heart Aortic Prostheses by Numerical Methods,' J. Medicine Engineering and Technology(to appear)
  2. Chandran, J.B., 1985a, 'Pulsatile Flow Past a St. Jude Medical Bileaflet Heart,' J. Thorac. Cardiovasc. Surg., 89, 743-749
  3. Chandran, K. B., Cabel, G. M, Khalighi. and Chen, C. J., 1985b, 'Laser Anemometer Measurements of Pulsatile Flow Past Aortic Valve Prostheses,' J. Biomechanics, 16(10), 865-873
  4. Chandran, K.M., Khalighi, B. and Chen, C.J., 1985c, 'Experimental Study of Physiological Pulsatile Flow Past Valve Prosthese in a Model of Human Aorta-II. Tiling Disc Valves and the Effect of Orientation,' J. Biomechanics, 18(10), 773-778 https://doi.org/10.1016/0021-9290(85)90052-1
  5. Farahifar, D., Cassot, F. and Bedard, H., 1985, 'Velocity Profiles in the Weak of Two Prosthetic Heart Valves Using a New Cardiovascular Simulator,' J. Biomechanics, 18(10),789-802 https://doi.org/10.1016/0021-9290(85)90054-5
  6. Fatermi, R.S. and Chandran, K.B., 1989, 'An in Vitro Study of the St. Jude Medical and Edwards Durornedics Bileaflet Valve Using Laser Anemornetry,' J. Biomech. Eng., 111, 298-302
  7. Gokhale, V.V., Tanner, R.J. and Bischoff, K.B., 1978, 'FE solution for the Navier-Stokes equations for a 2D steady flow through a section of a canine aorta model,' J. Biomechanics, 11, 241-249 https://doi.org/10.1016/0021-9290(78)90050-7
  8. Gross, J.M., Shermer, C.D. and Hwang, N.H.C., 1988, 'Vortex shedding in bileaflet heart valve prostheses,' Trans. Am. Soc. Artif. Intern. Organs, 34, 845-840
  9. Hasenkam, J.M., Mygaard, H., Giersiepen, M., Reul, H. and Stodkilde-Jorgensen, H., 1988, 'Turbulent Stress Measurements Downstream of Six Mechanical Aortic Valves in a Pulsatile flow Medel,' J. Biomechanics, 21, 631-645 https://doi.org/10.1016/0021-9290(88)90201-1
  10. Imaeda, K. and Goodman, F., 1980, 'Analysis of Non-linear Pulsatile Flow in Areries,' J. Biomechanics, 13(8), 1007-1002 https://doi.org/10.1016/0021-9290(80)90045-7
  11. King, M.J., Computational and experimental studies of flow through a bileaflet mechanical heart valve, Ph. D. Thesis. University of Leeds, UK, 1994
  12. King, M.J., Corden, J., David, T., and Fisher, J., 1996, 'A Three-Dimensional, Time-Dependent Analysis of Flow Through a Bileaflet Mechanical Heart Valve : Comparison of Experimental and Numerical Results,' J. Biomechanics, Vol. 29, No.5, pp. 609-618 https://doi.org/10.1016/0021-9290(95)00107-7
  13. King, M.J., David, T. and Fisher, 1994, 'An Initial Parametric Study of Fluid Flow Through Bileaflet Mechanical Heart Valves Using Computational Fluid dynamics,' J. Eng. Med., 208, 63-71
  14. Krafczyk, M., Cerrolaza, M., Schulz, M. and Rank, E., 1998, 'Analysis of 3d Transient Blood Flow Passing Through an Artificial Aortic Valve by Lattice- Boltzmann Methods,' J. biomechanics, Vol. 31, pp. 453-462 https://doi.org/10.1016/S0021-9290(98)00036-0
  15. McQueen, D. M. and Peskin, C, 1985, 'Computer-Assisted Design of Butterfly Bileaflet Mechanical Heart valves for the Mitral Position,' J. Comput. Fluids, 82, 289-297
  16. Nygaard, H., Paulsen, P. K., Hasenkan, J. M., Pedersen, E. M. and Rovsing, 1994, 'Turbulent Stresses Down-Stream of Three Mechanical Aortic Valve Prostheses in Human Beings,' J. Thome. Cardiovas. Surg., 107,438-446
  17. Rossean, E.P. M., Van de Ven AP . C, Van Steenhoven, A.A. and Seroo, J.M., 1984, 'Design of a System for the Accelerated Loading of Heart Valve Prosthese,' J. Biomechanics, 17(2), 145-153 https://doi.org/10.1016/0021-9290(84)90132-5
  18. Sallam, L.A., Shaw, A. and Bain, W.H., 1976, 'Experimental Evaluation of Mechanical haemolysis with Starr-Edwards, Kay-Shiley and Bjork Shiley Valves,' Scandinavian J. Thoracic and Cardiovascular Surgery, 10, 117-122
  19. Sikarskic, D.L., Stein, P. and Vable, M., 1979, 'A mathematical for arotic valve vibration.' J. Biomechanics, 17(11), 831-837 https://doi.org/10.1016/0021-9290(84)90141-6
  20. Skalak, R., Finite elements in biofluid mechanics. FE Anaysis in Biomechanics, 1982
  21. Stevenson, D.M. and Yoganathan, A.P., 1985, 'Numerical simulation of steady turbulent flow through trileaflet aortic heart valves-? Computational scheme and methodology,' J. Biomechanics, 18(12), 899-907 https://doi.org/10.1016/0021-9290(85)90034-X
  22. Swanson, W.M. and Clark, R. E., 1974, 'Dimensions and Geometric Relationships of the Human Aortic Valve as a function of Pressure,' Cir. Res., Vol. 35, pp. 871-882
  23. Thubrikar, M.J., Selim, G, Robicsek, F. and Fowler, B, 1996a, 'Effect of the sinus geometry on the dynamics of bioprosthetic heart valves(abstract),' Ann. Biomed. Eng., 24, S3
  24. Thubrikar, M.J., Selim, G, Robicsek, F. and Fowler, B, 1996b, 'Effect of the Sinus Geometry on the Dynamics of Bioprosthetic Heart Valves (abstract),' Proceedings of the 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society Amsterdam, The Netherlands, pg. 10 November https://doi.org/10.1109/IEMBS.1996.652841
  25. Tillman, W., Reul, H., Herold, M., Bruss, K. H. and Van Gilse, J., 1984, 'In vitro wall shear measurements at aortic valve prostheses,' J. Biomechanics, 17(4),263-279 https://doi.org/10.1016/0021-9290(84)90137-4
  26. Woo, Y.R. and Yoganathan, A.P., 1986, 'Pulsatile flow velocity and shear stress measurements on the St. Jude valve prosthesis,' Seand. J. Thorac. Cardiovasc. Surg., 20, 15-28
  27. Yang. H.Q. and Makhijani, V.B. 1994, 'A strongly coupled pressure-based CFD agroithm for fluid-structure interaction,' Proceeding of 32nd Aerospace Sciences meeting and Exhibit, Reno, NV, AIAA-94-0719
  28. Yoganathan, A.P., Coreoran, W. H. and Harrison, E. C., 1979, 'In Vitro Velocity Measurements in the Vicinity of Aortic Prostheses,' J. Biomechanics 12, 135-152 https://doi.org/10.1016/0021-9290(79)90153-2