Analytical computation of arc menisci configuration under primary drainage in convex capillary cross sections
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We analyze the geometric set-up of Lindquist’s “The Geometry of Primary Drainage” (J Colloid Interface Sci 296(2):655–668, 2006) and show that his main equation, which models the arc menisci configuration under primary drainage in capillary tube cross sections, can be solved analytically for the special case of a convex cross section and the wetting angle being assumed 0. Our approach relies on the Voronoi diagram of the cross section and runs in O(n logn) time for an n-segment cross section. It requires only the solution of n − 2 second-degree polynomial equations.
KeywordsPrimary drainage Arc menisci configuration Convex cross section Voronoi diagram Analytical solution
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- 7.Mayer, R., Stowe, R.: J. Colloid Interface Sci. 20(8), 893–911 (1965)Google Scholar