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. Author manuscript; available in PMC: 2021 Mar 26.
Published in final edited form as: J Fluid Mech. 2020 Apr 6;892:P1. doi: 10.1017/jfm.2020.170

Figure 8.

Figure 8.

(a) Real (solid line) and imaginary (broken line) components of the perturbed surface concentration for kinetically-limited adsorption (Da → 0) to an oscillating bubble, from (3.44). (b) Surface concentration in diffusion-limited mass transfer (Da → ∞), from (3.50). Λd = 0 represents a planar interface following (3.48). The vertical dashed lines show locations where 2Λdζd2=1 when Λd ≳ 1, indicating modified diffusion times for small bubbles via (3.53).