Skip to main content
SpringerLink
Log in

Experimental studies of turbulence in mercury flows with transverse magnetic fields

  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Turbulence intensity and energy spectra were investigated experimentally in mercury flows in a 2 × 4.8 cm2 rectangular cross section duct subjected to a transverse magnetic field. Velocity fluctuations were measured by means of a quartz coated hot film probe at Re = 78.5 × 103 and 0 ≦ Ha ≦ 785. The results obtained made possible a number of conclusions related to turbulence suppression and structure changes and to energy transfer mechanisms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

B :

magnetic field induction

D :

hydraulic diameter of the channel's cross section

Ha = BD(σ/ϱν)1/2 :

Hartmann number

N = σB 2 D/ϱU :

Stuart number (interaction parameter)

Re = UD/ν:

Reynolds number

k :

wave number

U :

mean velocity

u′:

velocity fluctuation

ε:

energy transfer rate

ν:

kinematic viscosity

σ:

electrical conductivity

ϱ:

density

References

  • Alemany, A.; Moreau, R.; Sulem, P. L.; Frish, V. 1979: Influence of an external magnetic field on homogeneous MHD turbulence. J. Mecanique, 18, N2, 277–313

    Google Scholar 

  • Batchelor, G. K. 1969: Computation of the energy spectrum in homogeneous two-dimensional turbulence. Phys. Fluids (suppl. 2) 12, 233–239

    Google Scholar 

  • Bocheninskii, V. P.; Branover, H. H.; Tanaev, A. V.; Chernyaev, Yu. P. 1971: Experimental study of resistance of flow of conducting fluid on plane insulated channels in the presence of a transverse magnetic field taking into account end effects and wall roughness (in Russian). Mekhanika Zhidkosti i Gaza 4, 10–21

    Google Scholar 

  • Branover, H. H. 1978: Magnetohydrydynamic flow in ducts. Halsted Press

  • Branover, H. H.; Gelfgat, Yu. M.; Kit, L. G.; Platnieks, I. A. 1970: Effect of a transverse magnetic field on the intensity profiles of turbulent velocity fluctuations in a channel of rectangular cross section (in Russian). Magnitnaya Gidrodinamika 3, 41–49

    Google Scholar 

  • Branover, H. H.; Gershon, P. 1979: Experimental investigation of the origin of residual disturbances in turbulent MHD flows after laminarization. J. Fluid Mech. 94, 629–647

    Google Scholar 

  • Branover, H. H.; Platnieks, 1. A. 1971: Measurement of spatial correlations of velocity pulsations in an MHD channel (unpublished)

  • Branover, H. H.; Slyusarev, N. M.; Scherbinin, E. V. 1965: Some results of measuring turbulent pulsation of velocity in a mercury flow in the presence of a transverse magnetic field (in Russian). Magnitnaya Gidrodinamika 1, 33

    Google Scholar 

  • Gardner, R. A.; Lykoudis, P. S. 1971: Magneto-fluid-mechanic pipe flow in a transverse magnetic field, Part 1: Isothermal flow. J. Fluid Mech. 47, 737–764

    Google Scholar 

  • Kolesnikov, Yu. B.; Tsinober, A. B. 1972: Two-dimensional turbulent flow behind a circular cylinder. Magnitnaya Gidrodinamika 3, 23–31

    Google Scholar 

  • Kraichnan, R. H. 1967: Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417

    Google Scholar 

  • Leith, C. E. 1968: Diffusion approximation for two-dimensional turbulence. Phys. Fluids 11, 671–673

    Google Scholar 

  • Moffat, H. K. 1967: On the suppression of turbulence by a uniform magnetic field. J. Fluid Mech. 28, 571–592

    Google Scholar 

  • Shercliff, J. A. 1962: The theory of electromagnetic flow measurement. Cambridge Univers. Press Sommeria, J. 1983: Two-dimensional behaviour of MHD fully developed turbulence. J. Mecanique Theorique et Appliquee, Numero Special, 169–190

  • Sommeria, J.; Moreau, R. 1982: Why, how, and when, MHD turbulence becomes two-dimensional. J. Fluid Mech. 118, 507–518

    Google Scholar 

  • Votsish, A. D.; Kolesnikov, Y. B. 1976: Transition from three-dimensional to two-dimensional turbulence in a magnetic field. Magnimaya Gidrodinamika 3, 141–142

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Ben-Gurion University, Beer Sheva, Israel

    S. Sukoriansky, I. Zilberman & H. Branover

Authors
  1. S. Sukoriansky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Zilberman
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Branover
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sukoriansky, S., Zilberman, I. & Branover, H. Experimental studies of turbulence in mercury flows with transverse magnetic fields. Experiments in Fluids 4, 11–16 (1986). https://doi.org/10.1007/BF00316780

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00316780

Keywords

Search

Navigation