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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v32.i5.50
pages 565-578

A Hydrodynamic Instability of a Vortex in Open Systems with a Volumetric Sink and Unlimited Inflow of Matter as a Possible Mechanism of Tornado Emergence

E. A. Pashitskii
Institute of Physics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

要約

Several exact unsteady solutions of the Navier-Stokes and continuity equations are obtained for a vortex in an incompressible viscous two-component (or two-phase) medium with a volumetric sink of matter caused by phase transition (for instance, vapor condensation in humid air at temperatures below the dew point) and with unlimited inflow of the matter from the environment. These solutions describe an exponential or “explosive” hydrodynamic instability of a “solid-body” rotation of matter in the vortex core caused by the action of convective and Coriolis forces arising as a result of nonlinear interaction between the rotating matter and radial flows, which provide constant density and composition throughout the medium (in particular, constant air humidity). This kind of hydrodynamic instability can be considered as a possible mechanism of creation and development of powerful atmospheric vortices - tornados and typhoons - during the formation of dense cloud systems when intense condensation of air moisture plays the role of a volumetric sink (convergence) of the matter.


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