Application of the fractional oscillator equation to simulations of granular flow in a silo

Tomasz Blaszczyk², Ewa Kotela¹, Jacek Leszczynski¹

¹Czestochowa University of Technology, Department of Heating, Ventilation and Air Protection ul. Dabrowskiego 73, 42-200 Czestochowa, Poland.
²Czestochowa University of Technology, Institute of Mathematics ul. Dabrowskiego 73, 42-200 Czestochowa, Poland.

DOI:

https://doi.org/10.7494/cmms.2011.1.0313

Abstract:

In this paper we consider a problem of continuous operation of silos. We have focused our attention on the two extreme experimental cases. The first one is considered as a mass flow and the second one is known as a blockade of particles in a silo. In our present work we have analysed in more detail the outflow of granular material in the intermediate regimes between the above mentioned extreme cases. Considering the transition between stable and unstable operation we proposed a novel mathematical model of the silo emptying. This model involves a differential equation with fractional derivatives.

Cite as:

Blaszczyk, T., Kotela, E., & Leszczynski, J. (2011). Application of the fractional oscillator equation to simulations of granular flow in a silo. Computer Methods in Materials Science, 11(1), 64 – 67. https://doi.org/10.7494/cmms.2011.1.0313

Article (PDF):

Keywords:

Arching, Fractional differential equations, Silo emptying, Funnel flow, DEM

References: