ISSN 2070-7401 (Print), ISSN 2411-0280 (Online)
Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2011, Vol. 8, No. 4, pp. 76-82

Axially symmetric model of tornado type instability

P.B. Rutkevich , P.P. Rutkevich 
Space Research Institute of RAS, 117997, Moscow, Profsoyuznaya, 84/32
An analytical model of tornado type instability in axisymmetric geometry is formulated. The problem set on the basis of the five equations of hydrodynamics. It was obtained that in the presence of rotation, such a system has two instabilities, one of instability - convective, and another - the rotational. It was found that under certain parameters, these two instabilities can be characterized by close wave numbers. This case describes a situation that takes into account the combined effect of rotational and convective instabilities. A steady-state equation describing the appropriate size of the horizontal structure and time-dependent equation describing the process of its development were obtained. Growth rate and wave number of the combined convective and rotational instability turn to be very close to the corresponding values of thin tornadoes.
Keywords: rotational instability, convective instability, tornado, combined effect of instabilities, steady-state equation, thin tornado
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