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.
Citation:
M. V. Norkin, “Formation of a cavity in the initial stage of motion of a circular cylinder in a fluid with a constant acceleration”, Prikl. Mekh. Tekh. Fiz., 53:4 (2012), 74–82; J. Appl. Mech. Tech. Phys., 53:4 (2012), 532–539
\Bibitem{Nor12}
\by M.~V.~Norkin
\paper Formation of a cavity in the initial stage of motion of a circular cylinder in a fluid with a constant acceleration
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 4
\pages 74--82
\mathnet{http://mi.mathnet.ru/pmtf1384}
\elib{https://elibrary.ru/item.asp?id=17994672}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 4
\pages 532--539
\crossref{https://doi.org/10.1134/S0021894412040074}
Linking options:
https://www.mathnet.ru/eng/pmtf1384
https://www.mathnet.ru/eng/pmtf/v53/i4/p74
This publication is cited in the following 4 articles:
A. E. Golikov, N. I. Makarenko, “Svobodnoe dvizhenie tsilindra pod poverkhnostyu glubokoi zhidkosti”, Prikl. mekh. tekhn. fiz., 65:5 (2024), 76–84
A. E. Golikov, N. I. Makarenko, “Hydrodynamic loads during acceleration of a cylinder under a free surface”, J. Appl. Mech. Tech. Phys., 63:5 (2022), 806–815
V. K. Kostikov, N. I. Makarenko, “Unsteady free surface flow above a moving circular cylinder”, J Eng Math, 112:1 (2018), 1
V K Kostikov, N I Makarenko, “The motion of elliptic cylinder under free surface”, J. Phys.: Conf. Ser., 722 (2016), 012021
Citation in format AMSBIB
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