5 papers
Interfacial instabilities in two-dimensional Stokes flow: a weakly nonlinear analysis
Gabriel Dias Carvalho, Rodolfo Brandão, José A. Miranda
Two-dimensional Stokes flow with injection and suction is investigated through a second-order, perturbative mode-coupling approach. We examine the time-dependent disturbance of an…
Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits
Rodolfo Brandão, Jacob R. Holley, Ory Schnitzer
We study the problem of resonant extraordinary transmission of electromagnetic and acoustic waves through subwavelength slits in an infinite plate, whose thickness is close to a ha…
Spontaneous dynamics of two-dimensional Leidenfrost wheels
Rodolfo Brandão, Ory Schnitzer
Recent experiments have shown that liquid Leidenfrost drops levitated by their vapor above a flat hot surface can exhibit symmetry-breaking spontaneous dynamics (A. Bouillant et al…
Asymptotic modeling of Helmholtz resonators including thermoviscous effects
Rodolfo Brandão, Ory Schnitzer
We systematically employ the method of matched asymptotic expansions to model Helmholtz resonators, with thermoviscous effects incorporated starting from first principles and with…
Acoustic impedance of a cylindrical orifice
Rodolfo Brandão, Ory Schnitzer
We use matched asymptotics to derive analytical formulae for the acoustic impedance of a subwavelength orifice consisting of a cylindrical perforation in a rigid plate. In the invi…