On the metal balls chain spouting

Authors: Domnyshev A.A.
Published in issue: #12(29)/2018
DOI: 10.18698/2541-8009-2018-12-421
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body
Keywords: chain, fountain, metal balls, general dynamics theorems, variable mass system, Meshchersky equation, elastic strain, standing wave
Published: 10.01.2019

The results of experiments on solving the classical Meshchersky problem of a flexible chain drop from the top plane to the bottom under the action of gravity are presented. The effect of vertical spouting (above the upper plane) of chains of various types has been experimentally investigated by varying the initial conditions: the initial position height, the bowl type, characteristics of the spouting plane. A comparison of the experimental data on the fountain formation with the provided analytical models has been carried out. The trajectory of the chain links movement has been investigated experimentally. The steady-state height of the spouting has been considered and the stationary speed of the chain links has been estimated. The results of the steady-state flow rate calculation are given. The assumptions adopted in the classical dynamics of chains are considered in depth, their inapplicability for the flow parameters finding is shown. It has been established that the values of the steady-state chain motion rate based on the classical models correspond to the experimental data.

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