High-Speed Flow Control with Electrical Discharges

Numerical calculations were carried out to examine the physics of the operation of nanosecond-pulse, single dielectric barrier discharges for high-speed ow control. Conditions were selected to be representative of the stagnation region of a Mach 5 cylinder ow that was the subject of recent experiments. A four-species formulation was employed, including neutrals, ions, electrons, and a representative excited molecular species. The following models were employed to predict particle motion: a drift-di usion formulation for the charged particles, a di usion equation for the excited molecules, and a ve-moment uid formulation for the neutrals. The Poisson equation was solved for the electric potential. During a 20 kV Gaussian input pulse lasting approximately 120 ns, an average energy density of about 40 J/m was stored in excited molecular states. Quenching reactions released this stored energy within about 10 s, converting it into translational energy of the neutrals and forming weak shock waves. The maximum neutral gas temperature rise predicted by the model was about 40 K.

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