Flow-driven opening of a valvular leaflet

The understanding of valvular opening is a central issue in cardiac flows, whose analysis is often prohibited by the unavailability of (in vivo) data about tissue properties. Asymptotic or approximate representations of fluid–structure interaction are thus sought. The dynamics of an accelerated stream, in a two-dimensional channel initially closed by a rigid inertialess movable leaflet, is studied as a simple model problem aimed at demonstrating the main phenomena contributing to the fluid–structure interaction. The problem is solved by the coupled numerical solution of equations for the flow and solid. The results show that the leaflet initially opens in a no-shedding regime, driven by fluid mass conservation and a predictable dynamics. Then the leaflet motion jumps, after the saturation of a very rapid intermediate vortex-shedding phase, to the asymptotic slower regime with a stable self-similar wake structure.

[1]  Gianni Pedrizzetti,et al.  Three-dimensional filling flow into a model left ventricle , 2005, Journal of Fluid Mechanics.

[2]  P. Hunter,et al.  Ventricular mechanics in diastole: material parameter sensitivity. , 2003, Journal of biomechanics.

[3]  Gianni Pedrizzetti Kinematic characterization of valvular opening. , 2005, Physical review letters.

[4]  F P T Baaijens,et al.  A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. , 2003, Journal of biomechanics.

[5]  A P Yoganathan,et al.  Three-dimensional computational model of left heart diastolic function with fluid-structure interaction. , 2000, Journal of biomechanical engineering.

[6]  Gianni Pedrizzetti,et al.  Model and influence of mitral valve opening during the left ventricular filling. , 2003, Journal of biomechanics.

[7]  G. Pedrizzetti Fluid flow in a tube with an elastic membrane insertion , 1998 .

[8]  Friedhelm Beyersdorf,et al.  In vivo analysis of aortic valve dynamics by transesophageal 3-dimensional echocardiography with high temporal resolution. , 2003, The Journal of thoracic and cardiovascular surgery.

[9]  Impulsive and pressure-driven transient flows in closed ducts , 1997 .

[10]  R. Verzicco,et al.  Combined Immersed-Boundary Finite-Difference Methods for Three-Dimensional Complex Flow Simulations , 2000 .

[11]  John O. Dabiri,et al.  Starting flow through nozzles with temporally variable exit diameter , 2005, Journal of Fluid Mechanics.

[12]  J. M. A. Stijnena,et al.  Evaluation of a fictitious domain method for predicting dynamic response of mechanical heart valves , 2004 .

[13]  C. Peskin,et al.  A three-dimensional computational method for blood flow in the heart. 1. Immersed elastic fibers in a viscous incompressible fluid , 1989 .

[14]  M. Gharib,et al.  A universal time scale for vortex ring formation , 1998, Journal of Fluid Mechanics.

[15]  Lee Waite,et al.  A new computer model of mitral valve hemodynamics during ventricular filling. , 2004, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.