Regular Article

Analytical Solution of the Problem of the Electrovortex Flow in the Hemisphere with Finite Size Electrodes in the Stokes Approximation

E. A. Mikhailov$^1$, I. O. Teplyakov$^2$

Moscow University Physics Bulletin 2018. 73. N 2. P. 162

Article

Annotation

An analytical solution was obtained for a stationary axisymmetric motion equation for a flow caused by an inhomogeneous electric current propagating through an electrically conducting liquid. The problem was solved in the variables for vorticity and velocity vector potential in hemispherical geometry with the finite size electrodes. Stokes and electrodynamic approximations were used.

Received: 2017 May 31

Approved: 2018 July 23

DOI: 10.3103/S0027134918020108

PACS:

47.65.-d Magnetohydrodynamics and electrohydrodynamics
02.30.Gp Special functions

Authors

E. A. Mikhailov$^1$, I. O. Teplyakov$^2$
$^1$Faculty of Physics, Lomonosov Moscow State University, chair of Mathematics.\
$^2$Joint Institute for High Temperatures RAS

Issue 2, 2018

Moscow University Physics Bulletin

Science News of the Faculty of Physics, Lomonosov Moscow State University

This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.