Numerical modeling of the initial fluctuation condensation stage with charge drops

11th International Conference on "Mesh methods for boundary-value problems and applications"

Averina, T.A.^1,2 ; Zmievskaya, G.I.^3,4

Institute of Computational Mathematics and Mathematical Geophysics SB RAS, prospect Akademika Lavrentjeva 6, Novosibirsk

630090, Russia^1

Novosibirsk State University, Pirogova street 2, Novosibirsk

630090, Russia^2

Keldysh Institute of Applied Mathematics, Miusskaya Square 4, Moscow

125047, Russia^3

Moscow Institute of Physics and Technology, Kerchenskaya street 1A, Moscow

117303, Russia^4

关键词: Cluster sizes;    Electrodispersion;    Fixed Charges;    Kinetic approach;    Random diffusion;    Rayleigh capillary instability;    Semiconductor powders;    Stochastic differential equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012010/pdf
DOI  :  10.1088/1757-899X/158/1/012010

来源: IOP

【 摘 要 】

This paper deals with a mathematical model of the phase transition of the first kind at the initial stage of forming drops in a liquid or in melted state in a volume of steam with a fixed charge on drops. The model of the process is represented by superposition of random diffusion and jump stochastic processes. The algorithms for solving stochastic differential equations (SDEs) of the model of processes, which form the cluster size, allow one to calculate a distribution function of drops according to their size. The kinetic approach makes possible evaluate the role of the Rayleigh capillary instability at the initial condensation stage and to employ the analysis of electrodispersion mechanisms in the production of metal and semiconductor powders.