Orateur
Description
Interfaces subjected to strong time-periodic horizontal accelerations exhibit striking pat-
terns known as frozen waves. In this study, we experimentally and numerically investigate
the formation of such structures in immiscible fluids under high-frequency forcing. In the
inertial regime–characterized by large Reynolds and Weber numbers, where viscous and
surface tension effects become negligible–we demonstrate that the amplitude of frozen
waves scales proportionally with the square of the forcing velocity. These results are con-
sistent with vibro-equilibria theory and extend the theoretical framework proposed by
Gréa & Briard (2019) to immiscible fluids with large density contrasts. Furthermore, we
examine the influence of both Reynolds and Weber numbers, not only in the onset of
secondary Faraday instabilities–which drive the transition of frozen wave patterns toward
a homogenized turbulent state–but also in selecting the dominant wavelength in the final
saturated regime.