Abstract
The article presents the results of mathematical modeling of turbulent surface layerelectrodynamic structure. A model of a stationary turbulent electrode effect operating near theearth's surface is used. The analysis of equations by methods of similarity theory allowed us tomake a number of reasonable physical assumptions that allowed us to obtain analytical solutions.Analytical formulas have been obtained for calculating the profiles of concentrations of small ions(aeroions), the density of the space electric charge and the electric field strength in a turbulentelectrode layer. As a result of mathematical modeling, the dependences electrical characteristicsin surface layer on the values of the electric field, the turbulent mixing degree and aerosol pollutionof the atmosphere are investigated. It is shown that the parameter of the electrode effect (theratio of the values of the electric field strength on the earth's surface and at the upper boundary ofthe electrode layer) practically does not depend on atmospheric conditions, whereas the height ofthe electrode layer and, accordingly, the scale of the distribution of the electrical characteristicsof the surface layer vary significantly. The intensification of turbulent mixing in the surface layerleads to an increase in the height of the electrode layer and, as a consequence, the scale of distributionof its parameters. The strengthening of the electric field or air pollution by aerosol particles of sufficient concentration leads to a decrease in its height. An increase in the concentrationof aerosol particles in the atmosphere reduces the values of the electric charge density at theearth's surface. Theoretical calculations are in good agreement with experimental data and theresults of numerical modeling of the surface layer electrical structure. The analytical formulasobtained in the work for calculating the electrical characteristics of the surface layer and the resultsof calculations can be useful in solving a number of applied problems of geophysics, in particularfor monitoring the electrical state of the atmosphere.
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