Measurement of interfacial wave dynamics in orbitally shaken cylindrical containers using ultrasound pulse-echo techniques

TL;DR

This study introduces a new ultrasonic measurement method to analyze interfacial wave dynamics in orbitally shaken cylindrical containers, providing insights relevant for liquid metal batteries and aluminum reduction cells.

Contribution

It presents a novel experimental setup and acoustic measurement technique for studying multi-layer interfacial waves, extending existing wave theory to two-layer systems.

Findings

Wall proximity reduces wave amplitudes and eigenfrequencies.

Ultrasonic echoes enable wave amplitude reconstruction in opaque liquids.

Resonance curves align with extended forced wave theory.

Abstract

We present a novel experiment on interfacial wave dynamics in orbitally shaken cylindrical vessels containing two- and three fluid layers. The experiment was designed as a hydrodynamical model for both alu- minum reduction cells and liquid metal batteries to gain new insights into the rotational wave motion driven by the metal pad roll instability. Different options are presented to realize stable and measurable multi-layer stratifications. We introduce a new acoustic measure- ment procedure allowing to reconstruct wave ampli- tudes also in opaque liquids by tracking ultrasonic pulse echoes reflected on the interfaces. Measurements of res- onance curves and phase shifts were conducted for vary- ing interface positions. A strong influence of the top and bottom walls were observed, considerably reducing wave amplitudes and eigenfrequencies, when the inter- face is getting close. Finally, measured resonance curves were successfully compared with an existing forced wave theory that we extended to two-layer interfacial waves. The comparison stresses the importance to carefully control the boundary condition at the contact line.