Time-dependent process of electric charge accumulation on a sphere in a viscous stream with the ion component

Abstract

The problem of time-dependent charging of electrically insulated ideally-conducting bodies in a stream of an incompressible viscous medium with the ion component is considered. The following effects are included in the expression for the ion current: convective ion transfer with the velocity of the medium and the ion drift and diffusion in the electric field. In this formulation the problem of timedependent charging of a sphere is formulated and solved. The role of the diffusion effects is clarified. The fields of hydrodynamic and electric parameters are found. The time dependences of the sphere charge and potential are obtained.Summary. The problem of time-dependent charging of electrically insulated ideally conducting bodies located in a viscous stream with the ion component is considered when the surface charge is formed on the

Non-stationary electrical charging of a conductive body in the medium with the ionic component at instantaneous loss by a body an electrical link with earthed object

“…It occurs in gasdynamic devices with corona discharge [1,2] when the ground connection of the body is removed. The similar situation is possible at motion of a body in atmospheric areas containing zones with ionic component [3] when for any reason the special devices removing a charge of a body are disconnected.…”

“…Further the most interesting and important situations is studied, when electrical contact disappears, the body becomes electrical isolated, its charge and potential increases, and the electric current going on a body decreases. (Non-stationary electro-gas-dynamic problems began to study recently [1,2]). …”