Pedrizzetti Gianni
Dipartimento Ingegneria Civile, Università di Trieste. P.le Europa 1, Italy.
Phys Rev Lett. 2005 May 20;94(19):194502. doi: 10.1103/PhysRevLett.94.194502. Epub 2005 May 17.
The evaluation of the valvular opening due to a pulse flow, as is the case of cardiac valves, requires the knowledge of the leaflets material properties and the coupled solution of the fluid and solid equations. This approach is not commonly feasible. A different approach is introduced here to describe the opening behavior of valvular leaflets by a functional kinematic relationship. The asymptotic analysis, in the limit of leaflet opening without vortex shedding, is presented for a two-dimensional rigid leaflet model under the irrotational scheme. The approach is then verified by numerical solution of the Navier-Stokes equation in asymptotic and nonasymptotic conditions.
对于诸如心脏瓣膜这种由脉冲流引起的瓣膜开口评估，需要了解瓣叶的材料特性以及流体和固体方程的耦合解。这种方法通常不可行。这里引入一种不同的方法，通过功能运动学关系来描述瓣膜瓣叶的开口行为。针对二维刚性瓣叶模型，在无旋流情况下，给出了瓣叶开口极限时的渐近分析。然后通过在渐近和非渐近条件下对纳维 - 斯托克斯方程的数值解来验证该方法。
