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Analytical model of motion of turbulent vortex rings in an incompressible fluid

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Abstract

An analytical model describing the motion of vortex rings in an incompressible fluid is constructed. The model is valid both for homogeneous and inhomogeneous vortices buoyant in the gravity field, as well as for combined vortices. The expansion angle of a buoyant vortex is found from the characteristic parameters that define the flow rather than specified on the basis of experiments. Significant differences in the expansion angles of homogeneous and buoyant vortex rings are explained. The calculation results for the proposed model are compared with the results of laboratory experiments and data on the rise of the cloud produced by an atomic explosion.

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Correspondence to V. V. Nikulin.

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Original Russian Text © V.V. Nikulin.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, No. 4, pp. 11–18, July–August, 2014

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Nikulin, V.V. Analytical model of motion of turbulent vortex rings in an incompressible fluid. J Appl Mech Tech Phy 55, 558–564 (2014). https://doi.org/10.1134/S0021894414040026

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  • DOI: https://doi.org/10.1134/S0021894414040026

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