Drag reduction during the side-by-side motion of a pair of intruders in a granular medium

TL;DR

This study experimentally investigates how the proximity and depth of a pair of intruders in a granular medium affect drag forces, revealing a collaborative effect that reduces drag when intruders are close and deeper, with a model based on contact chain breakup.

Contribution

It introduces a model explaining drag reduction in paired intruders based on contact chain breakup, highlighting the influence of separation and depth in granular media.

Findings

Drag force decreases when intruders are close together.

Deeper intruders experience greater drag reduction.

A contact chain breakup model explains the observed effects.

Abstract

When several intruders move in a granular medium, coupling effects are observed, the motion of one intruder affecting that of others. In this paper, we investigate experimentally how the drag forces acting on a pair of spherical intruders moving amid grains at constant velocity vary with the transverse separation between them and their depth. When intruders are sufficiently far apart, they do not influence each other, and the average drag felt by each of them matches that of a single intruder. However, for small distances between intruders and at a given depth, the average drag per intruder decreases, highlighting a collaborative effect that facilitates motion. This collaboration effect is amplified when the depth of the intruders increases. We propose a model for the drag reduction of a pair of intruders based on the breakup of contact chains, caused by the perturbation generated by the neighbor intruder. Our findings provide new insights into the interaction effects on the motion of solids in sand, such as those observed in animal locomotion, root growth, and soil survey.