N. P. Savenkova

Modeling of Vorticle Objects Created in Gatchina Discharge

This paper presents formulation of an approach to hydrodynamic modeling of vorticle long-lived formations realized in experiments with Gatchina discharge. A jet of heated gas which transforms into a vortex is considered in it as the observed object in these experiments.

Mathematical modeling of hysteresis in porous electrodes

We study the mathematical model of the Li+ ions’ intercalation from the electrolyte into the porous graphite surface of the negatively charged electrode and further Li diffusion inside the electrode particle. For proper approximation of experimental data we use the cubic polynomial. We prove the multiplicity of the steady state solutions in a certain range of the electrode potential values. This multiplicity may be explained by the simultaneous existence of several phases at the graphite electrode surface. Numerical investigation allows us to demonstrate the experimentally observed hysteresis. After including the diffusion of Li into the model we compare the charging time for various electrode structures.

Gas dynamics modeling of a plasmoid created by the Gatchina discharge

Whether plasmoids produced by the Gatchina discharge has a gas-dynamic nature is examined. The analysis is performed using two models for the formation of hot gas flows in the discharge region. The heating of the gas by a bulk heat source near the central electrode and by hot jet formed over the surface of the discharge region and having a maximum velocity in an area above the central electrode are considered. Predictions of the second model are demonstrated to be in closer agreement with experimental data.

Three-Dimensional Mathematical Modeling of Dynamics Interfaces Between Aluminum, Electrolytes and Reverse Zone of Oxidized Metal Depending on the Potencial Distribution

The mathematical model with a high detailed description of the studied processes is presented in current paper. Results of modeling Soderbergh’s reduction cell for model task and for reduction cell with multiple anodes are also presented. System of the equations of Navier-Stokes is used for modeling of hydrodynamics of process of electrolysis. Distribution of electromagnetic fields is fitted to Maxwell’s system of equations. Influence of distribution of electric potential over the anode on MHD-stability of process is considered and comparative analysis of numerical experiments is also given.

Rise of source-generated ions in dry air under the action of an electric field

Electrodynamic and plasma chemical tropospheric processes have been considered in order to develop a cloud control technology. A mathematical model has been constructed for ionic flow from a ground-based plasma generator in the electric field of a charged cloud. The problem of the rise of four types of anions and four types of cations and the problem of electric field strength have been solved using a system of transfer equations and the Planck equation. The final distribution of the charged particle concentrations has been analyzed, and it has been demonstrated that a considerable quantity of O3- can rise up to an altitude of 2000 m.

Rise of negative ions from an external source in the lower atmosphere under the action of the earth electric field: a one-dimensional model

A one-dimensional model of the rise of O– negative ions generated by a ground-based external source to altitudes of several kilometers under the action of the Earth electric field is developed. The model takes into account the contributions from the diffusion and drift of the ions, as well as the effect of a rising air flow. The characteristic time of rise of negative ions to an altitude of 2 km is determined, altitude distributions of the concentration of ions are obtained, and the distortion of the Earth electric field due to the presence of an excess of negative ions is demonstrated.

Modeling of the vertical ion flux in the troposphere

In this paper, electrogasdynamic processes caused in lower layers of the atmosphere by a groundbased source of negative ions O– are considered. The model includes a system of Navier–Stokes equations for a compressible gas flow and electrogasdynamic system of Poisson–Nernst–Planck equations describing the motion of these ions and allows one to take into account the influence of the electric field of the atmospheric pressure and temperature on the motion of ions.