EHD motion induced by unipolar injection between non parallel planes

The Coulomb force appears appropriate for laboratory simulations of geophysical flows in spherical geometry. In particular the general atmospheric circulation may be modelled by injecting ions in an insulating liquid between non parallel electrodes (a spherical and a ellipsoidal one) thus generating a meridian flow in the absence of rotation. We study here the flow in the simple geometry of two planes lying at a small angle to each other. Expressions are derived for different injection laws as a function of the electric field on the injector. The first experimal results are explained by taking into account the conductivity of the liquid.