Abstract
The motion of a buoyant vortex ring counter the direction of the lift of given value is experimentally investigated on a wide range of the initial velocity of the ring. The dynamics of its parameters are determined. The experimental results are compared with the calculations according to the earlier developed theoretical model. It is established in which cases the theoretical model describes the dynamics of buoyant vortex ring in motion counter the lift.
Similar content being viewed by others
References
D.G. Akhmetov, Vortex Rings [in Russian], Geo, Novosibirsk (2000).
B.I. Zaslavskii and I.M. Sotnikov, “Experimental Investigation of the Motion of Floating-up Vortex Rings,” Zh. Prikl. Mekh. Tekhn. Fiz. No. 1, 20 (1986).
H. Lamb, Hydrodynamics, Cambridge Univ. Press, Cambridge (1932).
L.E. Fraenkel, “On Steady Vortex Rings of Small Cross-Section in an Ideal Fluid,” Proc. Roy. Soc. London. Ser. A 316, 29 (1970).
P.G. Saffman, “The Velocity of Viscous Vortex Rings,” Stud. Appl. Math. 49 (4), 371 (1970).
A.T. Onufriev, “Theory of the Vortex Ring Motion under the Action of Gravity. Ascension of the Nuclear Explosion Cloud,” Zh. Prikl. Mekh. Tekhn. Fiz. No. 2, 3 (1967).
T. Maxworthy, “Turbulent Vortex Rings,” J. Fluid Mech. 64, 227 (1974).
Yu.S. Rusakov, “Dynamics of the Vertical Motion of a Turbulent Vortex Ring,” Izv. Ross. Akad. Nauk. Fiz. Atmosfery Okeana 37, 750 (2001).
B.A. Lugovtsov, A.A. Lugovtsov, and V.F. Tarasov, “Motion of a Turbulent Vortex Ring,” in: Continuum Dynamics. Issue 3 [in Russian], Institute of Hydrodynamics, Novosibirsk (1969), p. 50.
Yu.A. Gostintsev, Yu.S. Matveev, V.E. Nebogatov, and A.F. Solodovnik, “On the Physical Modeling of Turbulent Thermals,” Zh. Prikl. Mekh. Tekhn. Fiz. No. 6, 53 (1986).
A.M. Hecht, A.J. Bilanin, J.E. Hirsh, and R.S. Snedecker, “Turbulent Vortices in Stratified Fluids,” AIAA J. 18, 738 (1980).
V.V. Nikulin, “Analytical Model of the Motion of Turbulent Vortex Rings in an Incompressible Fluid,” Zh. Prikl. Mekh. Tekhn. Fiz. No. 4, 11 (2014).
V.V. Nikulin, “Motion of a Buoyant Vortex Ring counter the Lift,” Dokl. Ross. Akad. Nauk 466, 422 (2016).
V.F. Tarasov, “Estimation of Certain Parameters of Vortex Rings,” in: ContinuumDynamics. Issue 14 [in Russian], Institute of Hydrodynamics, Novosibirsk (1973), p. 120.
V.A. Vladimirov, “Vortex Momentum in Incompressible Fluid Flows,” Zh. Prikl. Mekh. Tekhn. Fiz. No. 6, 72 (1977).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.V. Nikulin, 2017, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2017, Vol. 52, No. 1, pp. 90–95.
Rights and permissions
About this article
Cite this article
Nikulin, V.V. Dynamics of vortex rings moving counter the lift. Fluid Dyn 52, 88–93 (2017). https://doi.org/10.1134/S0015462817010082
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462817010082