Nonlinear magnetic induction by helical motion in a liquid sodium turbulent flow

International audienceWe report an experimental study of the magnetic field (B) over right arrow induced by a turbulent swirling flow of liquid sodium submitted to a transverse magnetic field (B) over right arrow (0). We show that the induced field can behave nonlinearly as a function of the magnetic Reynolds number, R-m. At low R-m, the induced mean field along the axis of the flow, , and the one parallel to (B) over right arrow (0), , first behave like R-m(2), whereas the third component, , is linear in R-m. The sign of is determined by the flow helicity. At higher R-m, (B) over right arrow strongly depends on the local geometry of the mean flow: decreases to zero in the core of the swirling flow but remains finite outside. We compare the experimental results with the computed magnetic induction due to the mean flow alone