ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

# Differential Equations and Control Processes (Differencialnie Uravnenia i Protsesy Upravlenia)

## Numerical Simulation of the Burst of the Electromagnetic Field Caused by the Circular Motion of a Conducting Fluid

### Author(s):

S. Y. Malamanov

Faculty of Applied Mathematics - Control Processes,
doctoral student.
Saint Petersburg State University,
Saint-Petersburg, Russia.
Candidate of Physical and Mathematical Sciences.

stevmal@mail.ru

### Abstract:

The paper deals with the numerical simulation of the motion of a conducting fluid in a magnetic field. It occurs within a toroidal channel. The problem is solved in a stationary setting. Possible reasons caused by the movement of the medium and leading to a change of parameters of an external magnetic field are discussed. The modeling is based on the equations of magnetohydrodynamics implemented in software complex ANSYS. Calculation of MHD flows has become possible only recently (2005-2006) when a special module MHD appeared. This module is in CFX and FLUENT software packages. New emerging possibilities are used mainly for simulating flows of aluminum electrolysis cells, and other practical problems. However, this powerful "tool" should be used much more widely and be applied not only to practical problems solving. . In this regard the study of the induced magnetic field caused by the sea water movement, is of great interest, since it results in obtaining the flow parameters. Therefore, the use of complex ANSYS, endowed with new features, allows us to set and meet the challenges of marine geological and hydrophysics.

### Keywords

• dipole
• electromagnetic force
• Lorenz force
• magnetic field
• numerical simulation
• potential
• velocity

### References:

1. Zhmur V. V. Mezomasshtabnyye vodovoroty Okeana [Mesoscale eddies okeana] Moscow. : GEOS, 2010. - 290 p
2. Novozhilov V. V., Pavlovsky V. A. Ustanovivshiyesya turbulentnyye techeniya neszhimayemoy zhidkosti [Steady turbulent flow of an incompressible fluid]. - St. Petersburg: St. Petersburg State University, 2013. - 483 p
3. Prikladnaya MHD: Uchebnik po teoreticheskoy kurs [Applied MHD: Textbook on theoretical course] - Krasnoyarsk: Siberian Federal University, 2007
4. Malamanov S. Y. Numerical modeling of problems of force interaction of hydrodynamic and electromagnetic fields. Matematicheskoye modelirovaniye 2015. в„-11. S. 56-62. (in Russ. )
5. Kirko I. M., Kirko G. E. Magnitnaya gidrodinamika. Sovremennoye videniye problem[Magnetic hydrodynamics. Modern vision problems]. - Moscow-Izhevsk, NITs " Regular and chaotic dynamics", Institute of Computer Science, 2009. - 632s
6. Sivukhin D. V. Obshchiy kurs fiziki v 5 m V. 3 elektroenergii. Uchebnik[The general course of physics at 5 m V. 3 Electricity. Textbook]. - Moscow, Nauka Publ., FIZMATLIT, 2009. 656 p
7. Geomagnitnyye vozmushcheniya ot moshchnosti pereklyucheniya: Monografiya [Geomagnetic disturbances from the switching power: Monograph]. Moscow, NIYATS MEPI, 2009. 420 p
8. Frenkel Y. I. Elektrodinamika. Tom 1. Obshchaya teoriya elektrichestva[Electrodynamics. Volume 1. General theory of electricity]. ONTI, 1934. 428s
9. Tamm I. E. Osnovy teorii elektrichestva: Uchebnoye posobiye dlya vuzov[Fundamentals of the theory of electricity: A manual for schools]. - Moscow, Nauka Publ., FIZMATLIT, 2003. 616 p