Preliminary Vorticity Measurements by a Method Based on a MHD Principle
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.
KeywordsMagnetic Field Intensity Vorticity Component Electrode Probe Dimensional Spectrum Central Difference Approximation
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