Sovremennye problemy distantsionnogo zondirovaniya Zemli iz kosmosa, 2009, Issue 6, Vol. 2, pp. 188-192
Nonlinear convection in vertical axial channel
П.Б. Руткевич
1, П.П. Руткевич
21 Институт космических исследований РАН
2 Институт высокопроизводительных компьютерных вычислений, Сингапур
Stationary solution of nonlinear convection in axial vertical channel in compressible fluid was obtained. The
nonlinearity is considered to be caused by difference of vertical stratification in ascending and descending air
currants. It is considered that stratification is unstable for the ascending air currant and stable for the descending
air currant. Such situation is typical for tornado and tropical cyclones where instability is determined by latent
heat release of the atmosphere water phase transfer in the ascending air currant. These ascending air currants are
inevitably accompanied by descending air currants which dry up and their stratification becomes different from
that in the ascending currants. The problem is reduced to the ordinary differential equation of the sixth order with
boundary conditions at the boundaries. It is obtained that compressibility of the air turn out to be one of the main
factors conditioning rotation in the axial vortex.
Keywords: nonlinear convection, stratification, tornado, tropical cyclone, atmosphere moisture, phase transitions
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