Abstract
Granular flows require sustained input of energy for fluidization. A level of fluidization depends on the amount of heat flux provided to the flow. In general, the dissipation of the grains upon interaction balances the heat inputs and the resultant flow patterns can be described using hydrodynamic models. However, with the increase in packing fraction, the heat fluxes prediction of the cell increases. Here, a comparison is made for the proposed theoretical models against the MD simulations data. It is observed that the variation of packing fraction in the granular cell influences the heat flux at the base. For the elastic grain-base interaction, the predictions vary appreciably compared to MD simulations, suggesting the need to accurately model the velocity distribution of grains for averaging.
Highlights
Granular flows are of particular interest due to their vast and diverse applications as well as their intricate nature and dynamics
The amount of heat flux injected at the boundaries strongly influences the flow physics of granular materials especially in the case of vibrated beds
Considerable efforts have been made to understand the influence of solid surface on granular flow physics, both experimentally and analytically
Summary
Granular flows are of particular interest due to their vast and diverse applications as well as their intricate nature and dynamics. The amount of heat flux injected at the boundaries strongly influences the flow physics of granular materials especially in the case of vibrated beds. Considerable work can be found on modelling the wall as rough particles which can be treated as granular materials principally, and at high speeds, the effects of shear can be neglected due to slip even leading to instantaneous collision [3,4,5]. In a vibrofluidized bed, a continual input of energy is required to sustain granular flow usually through the vibrating surface. If the order of the vibration time period matches the mean free time of the particles between collisions, the separation of time scales at the surface can become indistinct In such a case, assumption of instantaneous collisions may become susceptible. It is necessary to evaluate continuum order description for various flow regimes in order to establish their validity
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