Two-way Electro-Hydro-Dynamic coupling modeling of ionic wind within an external flow

This contribution is interested in the modeling of ionic wind generated by a stationary corona discharge within a steady imposed external flow as in [1]. Since, the electro-drift velocity of charges in air is generally of few hundred meter per second, whereas ionic wind flow velocity is of the order of few meter per second, the influence of fluid advection is generally neglected resulting in a one-way coupling of the charges onto the flow [2]. Nevertheless when considering an adverse fluid velocity larger than ten m/s, this approximation fails and two-way coupling arises between charges drift and fluid flow. This is the focus of our investigation. Developing over the asymptotic multi-scaled two-domain approach of [3], we hereby propose an asymptotic two-way coupling method based upon a non-dimensional number Mc being the ratio between the external velocity flow to the drift charges one. This approach predicts a linear dependence of the current with velocity which is successfully compared with recent experimental measurements.

[1] Seville Chapman. Corona point current in wind. J. of Geophysical Research, 75(12):2165– 2169, 1970.

[2] F. Picella, D. Fabre, and F. Plouraboué. Numerical Simulations of Ionic Wind Induced by Positive DC-Corona Discharges. AIAA J. , 1–12, 2024.

[3] N. Monrolin and F. Plouraboué. Multi-scale two-domain numerical modeling of stationary positive DC corona discharge/drift-region coupling. J. Comp. Phys. 443:110517, 2021.