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. 2011 Feb 18;23(2):021301. doi: 10.1063/1.3517737

Figure 6.

Figure 6

Asymptotic solution of a liquid plug propagating in a flexible tube. Upper left: problem sketch and definitions; upper right: generalized Landau–Levich equation and asymptotic boundary layer regions; lower left: wall and interface positions for precursor film thickness h2>trailing film thickness h1 and h2<h1; lower right: time rate of plug volume change for three values of Γ as a function of the capillary number, Ca. Reprinted with permission P. D. Howell, S. L. Waters, and J. B. Grotberg, J. Fluid Mech. 406, 309 (2000). Copyright ©2000, Cambridge University Press.