The self-stimulated capillary jet

Abstract

Inspired by a Savart’s pioneering work, we study the self-stimulated dynamics of a capillary jet. The feedback loop is realised by extracting surface perturbations from a section of the jet itself via a laser–photodiode pair, whose amplified signal drives an electromechanical actuator which, in turn, produces pressure perturbations at the exit chamber. Under specific conditions, this loop establishes phase-locked stimulation regimes that overcome the otherwise random natural breakup. For each laser position along the jet, the gain of the amplifier acts as a selector across a discrete set of observable frequencies. The main observed features are explained by a linear theory which combines the transfer function of each stage in the loop. Our findings are relevant to continuous inkjet technologies for the production of equally sized droplets.