E.A.Pashitskii Hydrodynamic vortex instability in open systems with a bulk sink and unlimited inflow of the matter as a possible mechanism of tornado creation |
Applied hydromechanics, Vol. 4 (76) ¹ 1, (2002) |
| Several exact unsteady solutions of the Navier-Stokes and discontinuity equations are obtained for a vortex in incompressible viscous multi-component (or multiphase) medium with a bulk sink for the matter due to a phase transition (for instance, vapor condensation in humid air at temperatures below dew point) and with unlimited inflow of the matter from the environment. These solutions describe exponential or "explosion-type" hydrodynamic instability of a solid body rotation of the matter in vortex core caused by the action of the advective and Coriolis forces arising as the result of nonlinear interaction of the rotating matter with radial flows, which provide constant density and composition across the medium (in particular, constant air humidity). It is proposed, that such hydrodynamic instability can be considered as a possible mechanism of creation and development of powerful atmospheric vortices - tornado and typhoons - during the formation process of dense cloud systems, when the intense condensation of air moisture plays the role of a bulk sink (convergence) of the matter. |
|
KEY WORDS: *** |
| TEXT LANGUAGE: Russian |