ELECTROVORTEX FLOW BETWEEN TWO CYLINDERS IN LINEAR APPROXIMATION

A problem has been solved on electrovortex fl ow between two cylinders in a self-similar formulation within the framework of Stokes approximation implying a rather low velocity of the fl ow and its fast entry into a stationary mode, which makes it possible to signifi cantly simplify the solution of the Navier–Stokes equation and to establish the relation between diff erent fl ow parameters. Results of an analytical solution of the problem supported by numerical assessments are presented.
A problem has been solved on electrovortex fl ow between two cylinders in a self-similar formulation within the framework of Stokes approximation implying a rather low velocity of the fl ow and its fast entry into a stationary mode, which makes it possible to signifi cantly simplify the solution of the Navier–Stokes equation and to establish the relation between diff erent fl ow parameters. Results of an analytical solution of the problem supported by numerical assessments are presented.
Author:  E. A. Mikhailov, A. P. Stepanova, A. A. Taranyuk, A. Yu. Chudnovskii
Keywords:  electrovortex fl ow, liquid metal, self-similarity, Navier–Stokes equation
Page:  687