Abstract
Formation of a vortex ring in the process of rising a heated light volume of air medium in the Earth’s gravity field is investigated. The results of calculations carried out on various computational grids are compared both with each other and with solutions of the approximate analytical theory of formation and motion of a buoyant vortex ring approved by the available experimental data. A good agreement between all the data is obtained.
Similar content being viewed by others
References
Yu.P. Glagoleva, V.A. Zhmailo, V.D. Mal’shakov, L.V. Nesterenko, V.P. Statsenko, and I.D. Sofronov, “Formation of an Annular Vortex in Rising of a Light Gas in a Heavy Gas,” in: Numerical Methods of Continuum Mechanics [in Russian], Vol. 5, No. 1, 38–52 (1974).
O.G. Sin’kova, V.P. Statsenko, and Yu.V. Yanilkin, “3D Numerical Simulation of Formation of a Vortex Ring in the Process of Rising of a Thermal in the Atmosphere,” in: VANT. Ser. Mathematical Simulation of Physical Processes, No. 2, 38–47 (2016).
H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1932; Gostekhizdat, Moscow, Leningrad, 1947).
A.T. Onufriev, “Theory of Motion of a Vortex Ring under the Action of the Gravity Force. Ascent of an Atomic Explosion Cloud,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 3–15 (1967).
G.M. Makhviladze, O.M. Melikhov, and S.E. Yakush, “Ascent of a Turbulent Axisymmetric Thermal in the Inhomogeneous Compressible Atmosphere,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 62–68 (1989).
I.A. Chuprin and M.D. Shcherbin, “Numerical Simulation of a Turbulent Thermal,” Zh. Prikl. Mekh. Tekh. Fiz. 44, No. 3, 64–75 (2003).
R.G. Batt, R.A. Biqoni, and D.J. Rowland, “Temperature-Field Structure within Atmospheric Buoyant Thermals,” J. Fluid Mech. 141, 1–25 (1984).
A.L. Stadnik, A.A. Shanin, and Yu.V. Yanilkin, “TREK Euler Methods for Calculating Three-Dimensional Flows of a Multicomponent Medium,” in: VANT. Ser. Mathematical Simulation of Physical Processes, No. 4, 71–78 (1994).
J.K. Valters and J.F. Davidson, “The Initial Motion of a Gas Bubble Formed in an Inviscid Liquid,” J. Fluid Mech. 17, 321–336 (1963).
L.I. Sedov, Continuum Mechanics, Vol. 2 (Nauka, Moscow, 1970) [in Russian].
V.F. Tarasov, “Motion of a Buoyant Vortex Ring,” in: Dynamics of Continuum Medium (Siberian Branch of the Academy of Science of the USSR. Institute of Hydrodynamics, Nauka, Novosibirsk, 1969 [in Russian], No. 23, 210–218 (1969).
I.G. Zhidov, E.E. Meshkov, V.V. Popov, V.G. Rogachev, and A.I. Tolshmyakov, “Formation of a Vortex Ring in Rising of a Large Air Bubble in Water,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 75–78 (1977).
A.S. Monin and A.M. Yaglom, Statistical Hydromechanics, Vol. 2 (Nauka, Moscow, 1967) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © O.G. Sin’kova, V.P. Statsenko, and Yu.V. Yanilkin, 2017, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2017, No. 4, pp. 39–51.
Rights and permissions
About this article
Cite this article
Sin’kova, O.G., Statsenko, V.P. & Yanilkin, Y.V. Analytical and numerical investigation of formation of a vortex ring in the process of rising of a thermal in the atmosphere. Fluid Dyn 52, 495–506 (2017). https://doi.org/10.1134/S0015462817040044
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462817040044