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


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2017, Vol. 14, No. 2, pp. 221-229

On atmospheric vortices of tornado type in the axial convection model with moist air

P.B. Rutkevich 1 , B.P. Rutkevych 1 , N.Yu. Komarova 1 
1 Space Research Institute RAS, Moscow, Russia
Accepted: 01.03.2017
DOI: 10.21046/2070-7401-2017-14-2-221-229
Remote sensing of catastrophic atmospheric phenomena such as tropical cyclones (TC) and tornados contained in them holds a specific place in programs of tropical disturbances remote sensing. First, one should note the following task: problems of forecasting the emergence of primary disturbance forms and their future transitions into developed forms (as TC and associated tornados (Bluestein, 1994)). It is accompanied by formation of thick cloudness that appears due to evaporation from the ocean. In this paper, the problem of vortex movements development of tornado type in axially symmetrical geometry is considered. The model takes into account the temperature vertical profile dependence on the vertical velocity that parameterizes the latent heat elimination of atmospheric water condensation. Since the saturated vapor density vertical profile under the gravity field diminishes with height, the ascending convective air in the considered area is saturated, while the descending air remains almost dry. So, the temperature vertical profile due to atmospheric moisture is considered to be dependent on the vertical velocity sign. Hence the task becomes nonlinear. The functional scalar product for the corresponding linear operator and boundary conditions was formed for its solution. Then the expansion in term of small parameter (small nonlinearity) was made and the solution for the given problem obtained.
Keywords: nonlinear convection, temperature gradient, saturated moist air, scalar product, boundary conditions
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