Preliminary Vorticity Measurements by a Method Based on a MHD Principle

  • A. Tsinober
  • E. Kit
  • M. Teitel
Conference paper

Abstract

The idea of the method comes from MHD and is based on the equation div j = 0 and the Ohm’s law j = σ(∇⌽) + v × B), where j — is the electric current, — the potential of the electrical field, v — velocity, B — magnetic field intensity. The consequence is ∇2⌽ = Brotv (the term vrotB is several orders smaller). This enables one to measure the component of the vorticity ωB parallel to the magnetic field, by measuring the ∇2⌽ which in turn could be measured using a 7 electrodes probe realizing a central difference approximation of the Laplacian. Thus, the method is an absolute one and for this reason no calibration procedure is necessary.

Keywords

Vortex Vorticity 

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References

  1. Baker, R.C. 1971 On the electromagnetic vortex probe. J. Phys. E4, 99–101.Google Scholar
  2. Baker, R.C. 1983 A review of recent developments in electromagnetic flow measurement. In: Progress in Astronautics and Aeronautics, Vol. 84, 225–259.Google Scholar
  3. Grossman, L.M.; Li, H. & Einstein, H. 1957 Turbulence in civil engineering. Investigation of liquid shear flow by electromagnetic induction. Proc. Amer. Soc. Civ. Engrs., J. Hydr. Div. 83, No. 1394, 1–15.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • A. Tsinober
    • 1
  • E. Kit
    • 1
  • M. Teitel
    • 1
  1. 1.Department of Fluid Mechanics, Faculty of EngineeringTel-Aviv UniversityRamat Aviv, Tel-AvivIsrael

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