Ga. Kohring et al., COMPUTER-SIMULATIONS OF CRITICAL, NONSTATIONARY GRANULAR FLOW-THROUGHA HOPPER, Computer methods in applied mechanics and engineering, 124(3), 1995, pp. 273-281
Computer simulations based upon molecular dynamics techniques are used
to study the case of a granular material consisting of non-spherical
particles flowing through a collimating hopper. In these simulations w
e identify four generic flow regimes which depend upon the rate at whi
ch material flows into the hopper: (A) The outflow rate is steady and
relatively unaffected even when there are large fluctuations in the in
flow rate; (B) the outflow is steady, but the hopper can clog given su
fficiently large fluctuations in the inflow rate; (C) the outflow vari
es with time and the mean time to clogging is nonzero, hence, even in
the absence of fluctuations the hopper will eventually clog; and (D) T
he outflow is unsteady and the hopper is always clogged. Region C defi
nes the critical flow regime, with flow exponent, beta = 1. This expon
ent may be universal, but our present simulations can reach no definit
e conclusion on this point.