This article is cited in 4 papers

Formation of a cavity in the initial stage of motion of a circular cylinder in a fluid with a constant acceleration

M. V. Norkin

Southern Federal University, Rostov-on-Don, 344090, Russia

Abstract: This paper considers the joint motion of an ideal fluid and a circular cylinder completely immersed in it at small times. It is assumed that the cylinder, which was initially at rest, moves in a horizontal direction with a constant acceleration. The dynamics of the internal and external free boundaries of the fluid at small times is studied. An asymptotic analysis of the form of the internal free surface near the separation points is performed. It is shown that at high acceleration of the circular cylinder, a large cavity is formed behind, with a strong perturbation of the external free surface of the fluid over the surface of the cylinder.

Keywords: small times, fluid separation, asymptotic analysis, dynamics of separation points, internal free boundary, cavity, Froude number.

UDC: 532.582.33

Received: 10.06.2011

 English version: Journal of Applied Mechanics and Technical Physics, 2012, 53:4, 532–539

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