The theory of the chain fountain revisited

TL;DR

This paper revisits the chain fountain phenomenon, demonstrating that chain inertia alone explains the effect without the need for 'kicks', and provides a model consistent with energy and momentum conservation validated by experiments.

Contribution

The paper presents a revised theoretical model showing that chain inertia suffices to explain the fountain effect, eliminating the need for 'kicks' and aligning with conservation laws.

Findings

Chain inertia explains the fountain effect without 'kicks'.

Energy and momentum are conserved in the model.

Experiments validate the revised model.

Abstract

We analyze the chain fountain effect--the chain siphoning when falling from a container onto the floor. We argue that the main reason for this effect is the inertia of the chain, whereas the momentum received by the beads of the chain from the bottom of the container (typically called ``kicks'') plays no significant role. The inertia of the chain leads to an effect similar to pulling the chain over a pulley placed up in the air, above the container. In the model used before by the majority of researchers (the so-called ``scientific consensus''), it was assumed that up to half of the mechanical work done by the tension in the chain may be wasted when transformed into kinetic energy during the pickup process. This prevented the chain to rise unless the energy transfer in the pickup process is improved by ``kicks'' from the bottom of the container. Here we show that the ``kicks'' are unnecessary and both, energy and momentum are conserved--as they should be, in the absence of dissipation--if one properly considers the tension and the movement of the chain. By doing so, we conclude that the velocity acquired by the chain is high enough to produce the fountain effect. Simple experiments validate our model and certain configurations produce the highest chain fountain, although ``kicks'' are impossible.