An influence of the false bottom on the nonlinear dynamics of the water freezing process

Abstract


The current paper casts the light on the processes of structural-phase transitions during the freezing salt water, including the false bottom effects. A nonlinear mathematical model of heat and mass transfer was obtained. It takes into account the presence of three moving boundaries of phase transition and turbulent fluid flows from the ocean side by the surface of the false bottom. The exact analytical solutions of the nonlinear model were obtained - in their turn, they takes into account the time dependence of temperature and salinity at the depth and fluctuations of friction velocity. The distribution of temperature and salinity, the concentration of solids, the laws of motion of the boundaries of the phase transition, salt water - the two-phase zone, two-phase zone - melted water and melt-water - ice were found. The heat flux at the lower boundary of a false bottom was specified. The latter can change its direction at the time oscillations of the sea water temperature and friction velocity. Also it was shown, that structural transitions in the ice thickness are strictly associated with the processes of evolution of a false bottom

About the authors

Irina G Nizovtseva

Ural State University

Email: nizovtseva.irina@gmail.com
(к.ф.-м.н.), научный сотрудник, лаб. математического моделирования физико-химических процессов в многофазных средах; Уральский государственный университет им. А. М. Горького; Ural State University

Dmitriy V Aleksandrov

Ural State University

Email: dmitri.alexandrov@usu.ru
д.ф.-м.н., профессор, каф. математической физики; Уральский государственный университет им. А. М. Горького; Ural State University

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