Instability of electrolyte flow driven by an azimuthal Lorentz force

Linear stability and saddle-node bifurcation of electromagnetically driven electrolyte flow in an annular layer

“….84 in the experiments described in Pérez- Barrera et al (2015) and and in our current computations). As mentioned previously, following the justifications given in , we neglect the deformation of a free surface (see also Satijn et al (2001)) and apply the continuity of the tangential stress condition.…”

“…This is where the vortices subsequently arise. While experiments reported in Pérez- Barrera et al (2015) indicate that such vortices appear to be qualitatively similar in shape to those observed for Re < Re * * , they arise over an unsteady axisymmetric flow background and thus are characterised by a temporally varying intensity. While the discussion presented so far sheds light on the flow features beyond the saddle-node bifurcation at Re > Re * * , the question arises as to whether the analysis developed in § 7 can be applied to clarify the flow evolution near Re = Re * , where the Type 2 solution arises abruptly and is immediately destabilised by the appearing vortices.…”

“…Finally, we mention that recently Antar et al (2019) have repeated experiments previously described by Pérez-Barrera et al (2015) and after building a similar apparatus. They focussed on observing instabilities that we analysed here.…”

“…Experimentally, a flow of an electrolyte is easy to create in an annular layer over an insulating bottom contained between two co-axial cylindrical electrodes (Digilov 2007;Pérez-Barrera et al 2015. If it is placed on top of a vertically polarised magnet, the interaction of the radial electric current between electrodes and magnetic field gives rise to an azimuthal Lorentz body force that drives the flow.…”

Estimación de la incertidumbre en un sistema de visión para la evaluación experimental de un mezclador magneto-hidrodinámico

“…Además, se requiere experimentar con los efectos de la variación de intensidad de campos magnético y eléctrico inducidos en el micro-fluido, así como con la conductividad del microfluido. En previas experimentaciones, se recurrió al análisis visual del flujo usando tinte para revelar su comportamiento (Pérez et al, 2015). Sin embargo, a través de esta examinación solo se lograba identificar los vórtices y su tiempo de permanencia cuando el flujo era turbulento, debido a un cambio brusco de voltaje (Figura 6).…”