Bifurcation study for a surface-acoustic-wave driven meniscus

The deposition of homogeneous and patterned films of partially wetting liquid from a liquid meniscus driven by Rayleigh surface acoustic waves (SAW) is analyzed with a thin-film model. Employing path continuation and time simulation we investigate, in particular, how the time-periodic states corresponding to line deposition and the related bifurcations emerge when changing the Weber number or the SAW strength describing scenarios relevant for a class of deposition and coating processes.