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Analysis of blood flow interacted with leaflets in MHV in view of fluid-structure interaction

  • Thermal Engineering · Fluid Engineering · Energy and Power Engineering
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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.

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Abbreviations

[C]:

Damping matrix

D ij :

Elasticity matrix

<F>:

Force vector

[IC]:

Influence coefficient

[K]:

Stiffness matrix

[M]:

Mass matrix

N i :

Shape function

<p b b :

Pressure at fluid-structure boundary

<q>:

Displacement vector

<q>b :

Velocity of structure at fluid-structure interface

Q :

Flow rate

t :

Time

U i :

Cartesian velocity component

U j :

Velocity component

X i :

Cartesian coordinate

\(\dot \gamma \) :

Shear rate

μ s :

Damping parameter

ρ s :

Density of the structure

θ:

Leaflet angle

Reference

  • 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).

  • Chandran, J.B., 1985a, “Pulsatile Flow Past a St. Jude Medical Bileaflet Heart,”J. Thorac. Cardiovasc. Surg., 89, 743–749.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Farahifar, D., Cassot, F. and Bodard, H., 1985, “Velocity Profiles in the Weak of Two Prosthetic Heart Valves Using a New Cardiovascular Simulator,”J. Biomechanics, 18(10), 789–802.

    Article  Google Scholar 

  • Fatermi, R.S. and Chandran, K.B., 1989, “An in Vitro Study of the St. Jude Medical and Edwards Duromedics Bileaflet Valve Using Laser Anemometry,”J. Biomech. Eng., 111, 298–302.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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 Model,”J. Biomechanics, 21. 631–645.

    Article  Google Scholar 

  • Imaeda, K. and Goodman, F., 1980, “Analysis of Non-linear Pulsatile Flow in Areries,”J. Biomechanics, 13(8), 1007–1002.

    Article  Google Scholar 

  • King, M.J., Computational and experimental studies of flow through a bileaflet mechanical heart valve, Ph. D. Thesis. University of Leeds, UK, 1994.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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. Thorac. Cardiovas. Surg., 107, 438–446.

    Google Scholar 

  • Rossean, E.P. M., Van de Ven A.P. 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Sikarskic, D.L., Stein, P. and Vable, M., 1979, “A mathematical for arotic valve vibration,”J. Biomechanics, 17(11), 831–837.

    Article  Google Scholar 

  • Skalak, R., Finite elements in biofluid mechanics. FE Anaysis in Biomechanics, 1982.

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

  • 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.

    Article  Google Scholar 

  • Woo, Y.R. and Yoganathan, A.P., 1986, “Pulsatile flow velocity and shear stress measurements on the St. Jude valve prosthesis,”Scand. J. Thorac. Cardiovasc. Surg., 20, 15–28.

    Google Scholar 

  • 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.

  • 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.

    Article  Google Scholar 

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Correspondence to Choeng Ryul Choi.

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Choi, C.R., Kim, C.N. Analysis of blood flow interacted with leaflets in MHV in view of fluid-structure interaction. KSME International Journal 15, 613–622 (2001). https://doi.org/10.1007/BF03184377

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  • DOI: https://doi.org/10.1007/BF03184377

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