This article is cited in 8 papers

Formation of a cavity under an inclined separation impact of a circular cylinder under the free surface of a heavy fluid

M. V. Norkin

Southern Federal University, Department of Mathematics, Mechanics and Computer Science, 8a Milchakov str., 344090 Rostov-on-Don

Abstract: A dynamical mixed problem on an impact and the subsequent constant-speed motion of a circular cylinder in an ideal incompressible fluid. We study the influence of the physical and geometrical parameters of the problem on the form of the cavity and the configuration of the external free surface of the fluid at small times. We carry out an asymptotic analysis of the internal free boundary of the fluid which accounts for the dynamics of the separation points. The force of the reaction of the medium to the cylinder is found. The necessity of introducing additional cavitation zones for the dynamical impact problem is justified.

Keywords: ideal incompressible fluid, circular cylinder, blow with separation, free border, cavity, small times, Froude number, cavitation number.

UDC: 519.634

Received: 30.11.2015

DOI: 10.17377/sibjim.2016.19.409

 English version: Journal of Applied and Industrial Mathematics, 2016, 10:4, 538–548

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