Air entrapment at impact of a conus onto a liquid

• Published in: Journal of fluid mechanics Vol. 966
• Main Authors: Carrat, J.-B., Gavrilov, N., Cherdantsev, A., Shmakova, N., Ermanyuk, E.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 03.07.2023
• Subjects: Air; Area; Bubbles; Butanol; Curve fitting; Cushions; Diameters; Distilled water; Duralumin; Entrapment; Fluid mechanics; Geometry; Inertia; JFM Rapids; Liquids; Physical properties; Scaling; Scaling laws; Solid surfaces; Viscosity; gas/liquid flow; thin films
• ISSN: 0022-1120; 1469-7645
• DOI: 10.1017/jfm.2023.394

In this experimental work, a conus impacts a deep liquid pool at a speed varying from 1.3 to $19.0\ {\rm cm}\ {\rm s}^{-1}$. Two liquids (2.5 % butanol–water solution or distilled water) and four coni made from duralumin with a diameter of 180 mm and different deadrise angles $\beta$ ($2^{\circ }$, $3^{\circ }$, $4^{\circ }$ and 5$^{\circ }$) are tested. An air cushion is trapped between the conus solid surface and the liquid. Several types of bubble patterns after the collapse of the air cushion are observed: one or multiple bubbles near the conus centre (vertex), irregular trails of bubbles on the conus surface and a ring of bubbles in a ‘necklace’-shaped arrangement. With a total internal reflection set-up and appropriate image post-processing, the external and internal radii of the ring-shaped wetted area are estimated for each frame. The external (internal) radius increases (decreases) in time following a linear (exponential) law. The speed of the outer border of the wetted area is in agreement with the Wagner theory for a body impacting onto a liquid. The initial radius of the annular touchdown region is estimated as the intersection of the relevant fitting curves. In the studied range of parameters, the initial radius obeys a universal scaling law, which follows from the air–water lubrication–inertia balance.