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Investigation of granular capillary rising under vertical vibration

The phenomenon of granular capillary rising under vertical vibration provides a novel technical route for hoisting, transporting and collecting granular materials, which has application potential in engineering fields. However, there are still obvious limitations in the existing studies concerning the granular capillary rising, particularly intensive investigation on the effects of gravitational acceleration, horizontal vibrational component and particle size distribution has been largely lacking. To address these problems, the discrete element method was used to numerically simulate the granular capillary rising phenomenon under different operating conditions. The final capillary rising height and average capillary rising velocity of the granular matter were computed and analyzed based on the numerical simulations. The results show that the granular capillarity can also occur under low gravity conditions, and that the final capillary rising height and the average capillary rising velocity first increase and then decrease with the gravitational acceleration. It is also found that the final capillary rising height is insensitive to the variation of horizontal vibrational component, whereas the average capillary rising velocity increases with the increasing horizontal vibrational component. Compared with the mono-sized particles, the particles with the same mean size but having a Gaussian size distribution exhibit a maximal capillary rising height at a larger critical tube diameter. Meanwhile, the average capillary rising velocity of the particles having a Gaussian size distribution is faster in the tube diameter range in which the granular capillarity for both size distributions is dominated by the effect of jamming.