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DYNAMICS OF SEPARATION POINTS AFTER INSTANTANEOUS STOPPING OF A CIRCULAR CYLINDER IN A PERTURBED FLUID

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Abstract

The dynamics of a thin attached cavity formed due to instantaneous stopping (impact) of a circular cylinder in a perturbed fluid is studied. The fluid flow immediately following the impact and the initial separation zone are determined using the classical model of impact with separation. The cavity collapse process is investigated using a direct asymptotic method, in which the expansions of the main hydrodynamic characteristics are carried out in terms of a small parameter equal to the dimensionless acceleration of the cylinder before impact. A problem with one-sided constraints is formulated in the leading asymptotic approximation, and the solution to this problem is used to determine the motion of separation points and to describe the collapse of a thin cavity. Special equations of the boundary layer are applied for analyzing the internal free boundary of the fluid.

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Authors and Affiliations

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

    M. V. Norkin

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  1. M. V. Norkin
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Correspondence to M. V. Norkin.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 63, No. 4, pp. 73-81. https://doi.org/10.15372/PMTF20220408.

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Norkin, M.V. DYNAMICS OF SEPARATION POINTS AFTER INSTANTANEOUS STOPPING OF A CIRCULAR CYLINDER IN A PERTURBED FLUID. J Appl Mech Tech Phy 63, 614–621 (2022). https://doi.org/10.1134/S0021894422040083

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  • DOI: https://doi.org/10.1134/S0021894422040083

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