A new type of coupled Faraday wave appears in the system of two immiscible incompressible viscous liquid layers with a free surface filling in a Hele-Shaw cell under vertical oscillation [X. Li, X. Li, and S. Liao, “Observation of two coupled Faraday waves in a vertically vibrating Hele-Shaw cell with one of them oscillating horizontally,” Phys. Fluids, 30, 012108 (2018)]. The influence in terms of both depth of upper and lower liquids on these standing waves has been analyzed quantitatively by experiments, which can be understood in the form of the wave amplitudes, dispersion relation, and stability. It suggests that the depth of upper liquid plays a remarkable role, while the lower one does not seem to contribute significantly.
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