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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 1999 Volume 40, Issue 6, Pages 91–96 (Mi pmtf3175)

Formation of a petal-shaped structure at the front of an axisymmetric liquid film induced by collision of a drop with a flat surface

A. I. Fedorchenko, A. A. Chernov

Kutateladze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090

Abstract: A model for the formation of a petal-shaped structure is proposed that is based on Rayleigh–Taylor instability occurring at the stage of transition of supersonic flow to forced flow. At this stage, there is abrupt deceleration of the flow, reaching $(10^8-10^{10})g$. A dispersion relation is derived that allows one to obtain the length of the wave whose amplitude increases with maximum rate. The number of petals formed is determined assuming that this quantity is constant in time.

UDC: 621.793

Received: 14.07.1998


 English version:
Journal of Applied Mechanics and Technical Physics, 1999, 40:6, 1077–1081


© Steklov Math. Inst. of RAS, 2026