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We present an experimental, theoretical, and computational study of thespreading of a millimetric silicon oil drop under the excitation of a surfaceacoustic wave (SAW), traveling in the underlying solid substrate. Ourtheoretical model, formulated within the long wave approach, dynamicallycaptures the interplay between fluid dynamics and acoustic driving forces,emphasizing Eckart streaming as the dominant mechanism over Schlichting andRayleigh streaming due to drop thickness. Following an initial deformationphase to accommodate acoustic stress, the drop accelerates to a sustainedtranslation at nearly constant speed, leaving behind a thin wetting layer. Thisspeed is sustained by the quasi-steady shape of the drop's main body,influenced by SAW attenuation. Notably, SAW attenuation becomes significantonce the wave reaches the main body of the drop, with weaker effects observedunder the air and the micron-thick liquid trail left behind the drop. Thetranslating drop's speed is found to be dependent on the drop size, as well ason the SAW intensity. The drop's steady shape and speed are further informed byanalytical consideration of a simplified traveling wave type model, thatclarifies contributions from different physical effects. The theoreticalresults show qualitative and sometimes even quantitative agreement with theexperiments, particularly regarding drop height and traveling speed.

Dynamics of a millimeter size drop exposed to MHz-frequency surface acoustic wave in the underlying solid substrate