Self-propulsion by Spontaneous Symmetry Breaking
At the UNC Physical Mathematics Lab, we are investigating a novel class of fluid transport methods using external vibrations that result from a spontaneous symmetry breaking of the interface. We found that bubbles exhibit self-propulsion by shape oscillation when they are periodically forced inside a vibrating liquid against a wall. The novelty of these "galloping bubbles" lies in their ability to move efficiently in directions perpendicular to external forcing, which would be useful for guided propulsion for heat transfer and microfluidic applications.
Galloping bubbles (Nat. Comm. 2025)
Diffusion-induced Transport in Stratified Fluid
Bodies immersed in stratified flow are known to self-generate flows due to solutal or thermal diffusion. We have recently discovered that symmetric bodies in stratified flow are able to self-propel leveraging their external flow when a solid was is located nearby. The underlying mechanism involves a spontaneous vacuum generation by the wall which is filled by the motion of the body. The wall attraction mechanism has implications for the transport of nutrients and microplastics in marine environments.
Self-induced flow around cylinder in sim(left) and experiment (right) (Camassa et at. 2025, in review)
Wave-guided Propulsion of Interfacial Particles
Self-propulsion of solid particles on a fluid interface is interesting to both engineering and physics due to its granular nature, which also has active matter analogies. While external vibrations have been used to generate motion along interfaces, a propulsion mechanism without external asymmetry remains elusive. We have recently discovered that particles bouncing on a vibrating fluid-fluid interface can spontaneously break symmetry and begin to horizontally self-propel when driven just below the threshold of Faraday waves. The mechanism, inspired by walking droplets, holds promise for many novel collective dynamics including a new wave-mediated granular matter.
Solid walker (credit: Haoyu Ma)
Soft solids, such as PDMS and agarose gels, are easily deformable materials that are affected by surface tension forces acting on millimetric scales. Surface tension effects may either be introduced to these materials by the contact with a wetting liquid droplet or by the free surface energy of the solid itself, resulting in various instability and transport phenomena unknown to rigid materials. We have developed mathematical models describing the free surface instability and wetting dynamics governed by the elastocapillary nature of these materials.
Rayleigh-Taylor instability patterns of a cylinder
(Tamim and Bostwick, 2020)
I am also interested in the interfacial patterns on free surface flow due to multiscale interactions of surface and body forces. We have investigated the curious phenomenon of polygonal hydraulic jumps where, under certain experimental conditions, a circular hydraulic jump can break its symmetry and assume a steady polygonal shape whose corners show a universal shape regardless of the overall geometry.
Universal corner in hydraulic jumps
(PRF 2023)