Institute of Computational Mathematics and Mathematical Geophysics

International Conference on Mathematical Methods in Geophysics «MMG-2003»

Akademgorodok, Novosibirsk, Russia, October 8-12, 2003

Abstracts

Mathematical modeling of environmental protection problems

The model of the vaporable aerosol particles spread from moving source

Morokov Y. N., Klimova E. G., Borodulin A. I., Zykov S. V.

Institute of Computational Technologies SB RAS (Novosibirsk),
State Science Centre VB "Vector" (Koltsovo,
Novosibirsk region)

Ensemble of the falling in air UDMH (unsymmetrical Dimethylhydrazine) drops is considered that are formed after flowing-out of residual fuel from the rocket stage. The fuel flows out along the falling stage trajectory. It is supposed that the relaxation processes of drops forming proceed sufficiently quickly and the formed drops are distributed in size exponentially. The local equilibrium fall of drops in air is considered. Interactions among the falling UDMH drops are not considered. Therefore the task is reduced to modelling of the single drop fall. The drops are distinguished in initial sizes and points of ejection.

Influence of atmospheric humidity on drops evaporation process has been considered including the condensation of atmospheric water vapour on drops. It has been shown that the UDMH drops evaporation process can be essentially slowed down while in falling in the presence of large atmospheric humidity.

The falling drops trajectories are calculated in Lagrangian coordinates using the meteorological data on pressure, humidity, temperature and the wind velocity components. Smearing of the drops ensemble due to atmospheric turbulent diffusion is considered on determination of the final distribution of UDMH mass precipitated on earth surface.

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