These nondimensional cavity lifetimes and average sub cavity volumes computed

Fig. 11. Sub-cavity liquid film thickness surface contour plots for varying h0∗, for We = 600, at a fixed 0–250 μm contour color scale. (For interpretation of the references to colour in this CA-074 Me figure legend, the reader is referred to the web version of this article.)Figure optionsDownload full-size imageDownload as PowerPoint slide
The effects of changing We and h0∗ on the h∗ histories may be seen more clearly if the sub-cavity centerline liquid film thickness versus time is plotted using logarithmic axes, as in Bakshi et al., 2007 [27]. For example, Fig. 12 presents the data at h0∗ = 1.0. Here the decrease in the minimum sub-cavity film thickness as the Weber number is increased can be clearly seen, as can the increased cavity lifetime. Also shown is the expected early time variation, h∗ = 1 − t∗, and the remote asymptotic solution from Yarin and Weiss [28] for intermediate times, h∗ = 1/(1 + Bt∗)2. The present data follows cyanobacteria two solutions rather well, until the flow in the sub-cavity film is dominated by viscous effects [26] beyond dimensionless times above approximately τ = 6.