Abstract
Experiments on inertial dewetting of water from a hydrophobic surface show a shallow water shock, followed by a rim of nearly constant thickness h. The Hugoniot conditions at the shock are well observed, but the value of h is smaller than expected from a naive theory. We explain this by two effects to be considered: (a) the rim deforms while moving, and this modifies the formula for the driving force; (b) in a two-dimensional geometry (with an annular ring) the velocities in the rim v( r) are not constant, but v( r) ∼ 1/ r (where r is the distance to the starting point). Corrections taking (a) and (b) into account lead to predicted h values which are significantly lowered, and in better agreement with the data.
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Schedule a callMore From: Comptes Rendus de l'Academie des Sciences Series IIB Mechanics Physics Astronomy
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