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


Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2010, Vol. 7, No. 1, pp. 149-156

Nonlinear vortical current in the vertical channel, caused by asymmetry of vertical humidity transition

P.B. Rutkevich 1, P.P. Rutkevich 2
1 Space Research Institute, Russian Academy of Sciences (IKI RAN), Profsoyuznaya Str., 84/32, Moscow, GSP-7, Russia, 117997
2 Institute of high performance computing, Singapore
It is widely accepted that theoretical description of the natural phenomena as tornado and tropical cyclone should be nonlinear. However numerous efforts to take into account the nonlinear terms in the hydrodynamic system, do not lead to a complete theory of these natural phenomena. Usually for nonlinearity the inertial terms (Vgrad)V in the Navier-Stokes equations are considered. However these terms do not introduce energy in the system. In the present paper we describe the stationary solutions of the nonlinear convection in the vertical axial channel of a given radius with compressibility taken into account with the use of the Bessel functions series. We associate the nonlinearity with the stratification dependence on the air current vertical velocity. Such situation characterizes tornadoes and tropical cyclones where stratification is caused by the latent heat release of the atmospheric moisture phase transitions in ascending air currents. As a result it is shown that the problem nonlinearity caused by stratification dependence on the vertical velocity and the air compressibility turn to be the principal factors of the tornado type solutions.
Keywords: nonlinear convection, stratification, tornado, atmosphere moisture, phase transitions
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