Departamento de Física, Facultad de Ciencias, Universidad de Navarra, E-31080 Pamplona, Spain.
Phys Rev Lett. 2012 Jun 15;108(24):248001. doi: 10.1103/PhysRevLett.108.248001. Epub 2012 Jun 13.
"Beverloo's law" is considered as the standard expression to estimate the flow rate of particles through apertures. This relation was obtained by simple dimensional analysis and includes empirical parameters whose physical meaning is poorly justified. In this Letter, we study the density and velocity profiles in the flow of particles through an aperture. We find that, for the whole range of apertures studied, both profiles are self-similar. Hence, by means of the functionality obtained for them the mass flow rate is calculated. The comparison of this expression with the Beverloo's one reveals some differences which are crucial to understanding the mechanism that governs the flow of particles through orifices.
“贝弗鲁厄定律”被认为是估算颗粒通过孔口的流速的标准表达式。该关系是通过简单的量纲分析得到的，其中包含经验参数，其物理意义没有得到很好的证明。在这封信中，我们研究了颗粒通过孔口时的密度和速度分布。我们发现，对于所研究的整个孔径范围，两种分布都是自相似的。因此，通过它们的功能关系计算出质量流量。将这个表达式与贝弗鲁厄定律的表达式进行比较，揭示了一些差异，这些差异对于理解控制颗粒通过孔口流动的机制至关重要。
