Modeling the Outflow of Particulate Solids from a Container Taking into Account the Effect of Adhesion to the Wall


Amanbaev T.R. Antony S.J.
December 2022

Fluid Dynamics
2022#57Issue 7954 - 966 pp.

Abstract: Within the framework of an approach based on the equation of a viscous fluid as a continuum medium (CM), the process of the outflow of a granular medium under the action of gravity from a volume between two plates inclined to each other at a certain angle is studied. At the boundary with a solid wall, the condition of partial slip (or adhesion) is adopted, which is described by a certain coefficient that varies from 0 to 1. In a two-dimensional setting, the distribution of the velocity of the medium inside the container is found. The influence of a change in the slip coefficient on the nature of the flow of a granular medium is analyzed. The CM approach is compared with an approach based on the description of a granular medium as discrete layers (DL). Formulas for the speed and flow rate of a granular body at the outlet of the container are given. The dependences of these parameters on the coefficient of internal friction and the opening angle between the walls of the flow geometry are analyzed.

container , flow rate , granular flows , granular medium , gravity , outflow , particulate mechanics , slip coefficient

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Auezov South Kazakhstan State University, Shymkent, 160012, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
School of Chemical and Process Engineering, University of Leeds, LS2 9JT, United Kingdom

Auezov South Kazakhstan State University
Institute of Mathematics and Mathematical Modeling
School of Chemical and Process Engineering

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