Abstract
It is shown that during excitation of forced, resonant, inertial oscillations of large amplitude in a rigidly rotating fluid, the mechanism of formation of tornado‐like vortices is primarily of a kinematic nature($advection of circulation of the azimuthal component velocity and stretching of vortex lines by the poloidal components of the velocity field that arise from excitation of inertial oscillations). The main parameters of the vortices are obtained by solutions of model problems. To excite such oscillations, it is necessary to deliver energy far exceeding the initial energy of the rotating fluid. Therefore, inertial oscillations by themselves cannot lead to the occurrence of intense atmospheric vortices. Nevertheless, such oscillations can apparently play the role of a trigger mechanism that activates more complex processes of vortex formation related to instability of the atmosphere.
Similar content being viewed by others
REFERENCES
V. G. Makarenko and V. F. Tarasov, “Experimental model of a tornado," J. Appl. Mech. Tech. Phys., 28, No. 5, 750-756 (1987).
V. G. Makarenko and V. F. Tarasov, “Experimental model of a tornado," Dokl. Akad. Nauk SSSR, 305, No. 2, 297-300 (1989).
D. G. Akhmetov, B. A. Lugovtsov, V. G. Makarenko, and V. V. Nikulin, “Occurrence of tornado-like vortices in a rotating uid under forced inertial oscillations of large amplitude," J. Appl. Mech. Tech. Phys., 43, No. 2, 245-248 (2002).
P. G. Baines, “Forced oscillation of an enclosed rotating fluid," J. Fluid Mech., 30, 533-546 (1967).
Kh. P. Greenspan, The Theory of Rotating Fluids, Cambridge Univ. Press, London (1968).
Yu. I. Neimark and P. S. Landa, Stochastic and Chaotic Oscillations [in Russian], Nauka, Moscow (1987).
M. Kholodniok et al., Metody Analyzy Nelinearnich Dynamickych Modelu, Pracha (1989).
N. Rott, “On the viscous core of a line vortex,” Z. Angew. Math. Phys., 9, 543-553 (1958).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lugovtsov, B.A. On one mechanism of formation of tornado‐like vortices in a rotating fluid. Journal of Applied Mechanics and Technical Physics 43, 237–244 (2002). https://doi.org/10.1023/A:1014797408397
Issue Date:
DOI: https://doi.org/10.1023/A:1014797408397