Fig. 3: Non-monotonic flow rate. | Nature Communications

Fig. 3: Non-monotonic flow rate.

From: Optimal free-surface pumping by an undulating carpet

Fig. 3: Non-monotonic flow rate.

a Instantaneous flow rate in silicone oil over multiple periods of oscillation. The data sets represent increasing Vw, from white to black. These measurements are taken at a cross-section marked by the dashed line in Fig. 2b, i. b Time-averaged flow rate, \(\left\langle Q\right\rangle\) is plotted against the flux scale ϵ2VwH of the problem. The circles represent the experiment in silicone oil with bigger markers denoting larger height, H: 4.3 mm (red), 5.7 mm (green), 6.8 mm (blue), 8 mm (orange). The squares represent gylcerin-water (GW) experiments with H = 6.3 mm. Error bars are based on standard deviation. The dashed line is the theoretical prediction, given by \(\left\langle Q\right\rangle=3{\epsilon }^{2}{V}_{w}H/2\).

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