Fig. 3: Dynamics of the fluid-structure interaction.
From: Elastocapillary sequential fluid capture in hummingbird-inspired grooved sheets
a Evolution of the first capillary rises ℓI in two to three different grooves (triangles) and of the second capillary rise ℓII in the tube (circle), corresponding to the 5 different cases illustrated in Fig. 2a. The solid lines correspond to the theory. b Zoom on the first instant of the dynamics of capillary rise for a membrane of thickness e = 135 μm. c Evolution of the dimensionless hydraulic resistance of the grooves, G, as a function of β (top) and illustration of the flow speed in the section of a closing tube (bottom). d Time needed for the structure to close after contact with the liquid bath, \({t}_{{{{\rm{closure}}}}}\), as a function of the transition parameter. This time diverges at the transition. Solid lines and shaded area correspond to the theory with the uncertainty on the geometrical parameters. Error bars are estimated using the theory of error propagation. e The closure time of the device acts as a linear probe for the viscosity of the liquid. The evolution of the apparent width Δ of the device may be collapsed by rescaling the time by the viscosity (w = 300 ± 30 μm, d = 500 ± 30 μm, h = 600 ± 40 μm, e = 110 ± 10 μm, L = 25.4 ± 0.2 mm). The dashed line correspond to the model for h = 600 μm, w = 300 μm, d = 500 μm, e = 104 μm, L = 25 mm. Source data are provided as a Source Data file.
