Self-motion of microparticles under acoustic pressure

The phenomenon of microparticle self-motion is utilized intargeted drug delivery and in advanced energy storage devices, includingsupercapacitors, batteries, and fuel cells. This self-motion can be induced by various methods, including acoustic pressure. We consider microparticles shaped as Helmholtz resonators subjected to ultrasound pressure. By controlling the directionand intensity of an ultrasonic plane wave, we regulate the velocity and trajectory of the microparticles. This paper presents both mathematical and numerical models for two types of microparticles: a sphere with a hole, and a hemisphere with a cone and a hole. We demonstrate that, in this model, the generated radiation force is sufficient to accelerate and guide these particles. Mathematics Subject Classification (2010). 35Q70; 47A40; 70E99.