Analytical study of the velocity and pressure of the electrovortex flow in hemispherical bowl in a Stokes approximationстатья
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Дата последнего поиска статьи во внешних источниках: 7 июля 2021 г.
Аннотация:The problem of an electrovortex flow in a hemispherical bowl with an internalelectrode is considered. In the framework of the Stokes approximation, analytical expressionsfor the velocity and pressure fields are obtained. Two types of boundary conditions were used:non-leakage on the entire boundary (with no-slip condition on the free surface and partly slipon the electrodes) and an approximate adhesion condition on the electrodes. The non-leakage condition corresponds to the homogeneous Dirichlet boundary condition for the vectorpotential and the vorticity on the entire boundary. An approximate adhesion condition is posedusing the Thom difference approximation. The analytical expressions for the velocity andpressure fields are written uniformly for both types of boundary conditions.