EXPERIMENTAL STUDY OF TURBULENT DIAMAGNETISM IN A LIQUID SODIUM FLOW

Authors

  • P.G. Frick Institute of Continuous Media Mechanics UB RAS
  • S.A. Denisov Institute of Continuous Media Mechanics UB RAS
  • V.I. Noskov Institute of Continuous Media Mechanics UB RAS
  • R.A. Stepanov Institute of Continuous Media Mechanics UB RAS, Perm National Research Polytechnic University
  • A.M. Pavlinov Institute of Continuous Media Mechanics UB RAS

DOI:

Keywords:

magnetohydrodynamics, turbulence, fluctuations, liquid sodium, mean magnetic field, diamagnetism

Abstract

The phenomenon of magnetic field suppression by a turbulized flow of liquid sodium at medium Reynolds magnetic numbers Rm > 10 was experimentally studied. The magnetic field is applied collinearly to streamlines of a large-scale mean flow, which excludes the induction effects due to the average flow, as well as the contribution of turbulent diffusion. We show that at the stage of high turbulence, the mean magnetic field is reduced to 0.6 of the initial one. The observed effect can be explained as a result of turbulent diamagnetism, described by a term rot(g×B) of the mean-field induction equation (here g is the gradient of the energy of turbulent fluctuations and B is the mean magnetic field).

Supporting Agencies
Работа выполнена при финансовой поддержке РФФИ и Правительства Пермского края (грант № 14-01-96010).

Author Biographies

  • P.G. Frick, Institute of Continuous Media Mechanics UB RAS
    доктор физико-математических наук, заведующий лабораторией физической гидродинамики
  • S.A. Denisov, Institute of Continuous Media Mechanics UB RAS
    кандидат технических наук, старший научный сотрудник лаборатории физической гидродинамики
  • V.I. Noskov, Institute of Continuous Media Mechanics UB RAS
    кандидат физико-математических наук, старший научный сотрудник лаборатории физической гидродинамики
  • R.A. Stepanov, Institute of Continuous Media Mechanics UB RAS, Perm National Research Polytechnic University
    доктор физико-математических наук, ведущий научный сотрудник лаборатории физической гидродинамики; профессор кафедры математического моделирования систем и процессов
  • A.M. Pavlinov, Institute of Continuous Media Mechanics UB RAS
    аспирант лаборатории физической гидродинамики

References

  1. Raedler K.-H., Stepanov R. Mean electromotive force due to turbulence of a conducting fluid in the presence of mean flow // Phys. Rev. E. - 2006. - Vol. 73. - P. 056311.
  2. Frick P., Noskov V., Denisov S., Stepanov R. Direct Measurement of Effective Magnetic Diffusivity in Turbulent Flow of Liquid Sodium // Phys. Rev. Lett. - 2010. - Vol. 105. - No 18. - R. 184502.
  3. Noskov V. [et al.] Dynamics of a turbulent spin-down flow inside a torus // Phys. Fluids. - 2009. - Vol. 21. - No 4. - R. 045108.
  4. Frick P., Noskov V., Denisov S., Stepanov R. Turbulent viscosity and turbulent magnetic diffusivity in a decaying spin-down flow of liquid sodium // Phys. Rev. E. - 2012. - Vol. 85. - No 1. - R. 016303.

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Published

2017-09-04

Issue

No. 1 (2017)

Section

Research: theory and experiment

How to Cite

Frick, P. ., Denisov, S. ., Noskov, V. ., Stepanov, R. ., & Pavlinov, A. . (2017). EXPERIMENTAL STUDY OF TURBULENT DIAMAGNETISM IN A LIQUID SODIUM FLOW. Perm Federal Research Centre Journal, 1, 87-92. https://journal.permsc.ru/index.php/pscj/article/view/PSCJ2017n1p14