Propulsion of a two-sphere swimmer

TL;DR

This study demonstrates how a neutrally-buoyant two-sphere swimmer propelled by fluid vibrations can move, with speed depending on streaming Reynolds number, revealing a critical threshold and flow pattern changes.

Contribution

The paper combines experiments and simulations to show propulsion mechanisms of a two-sphere swimmer driven by vibrating fluid, highlighting the role of streaming flows and Reynolds number effects.

Findings

Swimming speed correlates with streaming Reynolds number.

A critical Reynolds number threshold for swimming onset.

Flow patterns transition from independent spheres to collective flow.

Abstract

We describe experiments and simulations demonstrating the propulsion of a neutrally-buoyant swimmer that consists of a pair of spheres attached by a spring, immersed in a vibrating fluid. The vibration of the fluid induces relative motion of the spheres which, for sufficiently large amplitudes, can lead to motion of the center of mass of the two spheres. We find that the swimming speed obtained from both experiment and simulation agree and collapse onto a single curve if plotted as a function of the streaming Reynolds number, suggesting that the propulsion is related to streaming flows. There appears to be a critical onset value of the streaming Reynolds number for swimming to occur. We observe a change in the streaming flows as the Reynolds number increases, from that generated by two independent oscillating spheres to a collective flow pattern around the swimmer as a whole. The mechanism for swimming is traced to a strengthening of a jet of fluid in the wake of the swimmer.