Silo Flow rate Materias Investigación: Física y Matemática aplicada
Maza-Ozcoidi, D. (Diego Martín), Janda-Galán, Á. (Álvaro), Rubio-Largo, S. M., Zuriguel-Ballaz, I. (Iker), Cruz-Hidalgo, R. (Raúl). ""Velocity and density scaling at the outlet of a silo and its role in the expression of the mass flow rate"", Powders and grains 2013 : Proceedings of the 7th International Conference on Micromechanics of Granular Media, pp. 674-677
The role of density and velocity proﬁles in the ﬂow of particles through apertures has been recently put on evidence in a two-dimensional experiment (Phys. Rev. Lett. 108, 248001). For the whole range of apertures studied, both velocity and density proﬁles are selfsimilar and the obtained scaling functions allow to derive the relevant scales of the problem. Indeed, by means of the functionality obtained for these proﬁles, an exact expression for the mass ﬂow rate was proposed. Such expression showed a perfect agreement with the experiential data. In this work, we generalize this study to the three dimensional case. We perform numerical simulations of a 3D silo in which the velocity and volume fraction proﬁles are determined. Both proﬁles shows that the scaling obtained for 2D can be generalized to the 3D case. Finally, the scaling of the mass ﬂow rate with the outlet radius is discussed.