Acoustic microfluidics: Capillary waves and vortex currents in a spherical fluid drop

Acoustic microfluidics: Capillary waves and vortex currents in a spherical fluid drop

ABSTRACT

Self-similar solutions are found for a quadratically cubic second-order partial differential equation governing the behavior of nonlinear waves in various distributed systems, for example, in some metamaterials. They are compared with self-similar solutions of the Burgers equation. One of them describing a single unipolar pulse is shown to satisfy both equations. The other self-similar solutions of the quadratically cubic equation behave differently from the solutions of the Burgers equation. They are constructed by matching the positive and negative branches of the solution, so that the function itself and its first derivative are continuous. One of these solutions corresponds to an asymmetric solitary N-wave of the sonic shock type. Self-similar solutions of a quadratically cubic equation describing the propagation of cylindrically symmetric waves are also found.

KEYWORDS

Evaporation, Microfluidics, Spheres, Capillary wave, Fluid drop, Nanoparticle structures, nonlinearity, Radiation forces, Drops

CITATION

Lebedev-Stepanov, P.V. & Rudenko, O.V. Acoust. Phys. (2016) 62: 414. DOI: 10.1134/S1063771016040114

DOWNLOAD

http://urn.kb.se/resolve?urn=urn:nbn:se:bth-12984

Categories: Publications, Research