The comparison of an analytical, experimental, and simulation approach for the average induced velocity of a dielectric barrier discharge (DBD)

Dielectric barrier discharge (DBD) is an active flow control device which works by ionizing the surrounding air, and controls it to achieve a desirable result. A model of the DBD has already been made, however most of them must be solved numerically. There hasn’t been any simplified non numerical model that could describe the power of a DBD. In this research, an analytical 2D equation is purposed to obtain the average velocity produced by a DBD. For validation, this equation is compared to a simulation and experimental data, which is conducted at a varying freestream velocity ranging from l to 3 m/s and also a varying dielectric thickness from 3 to 6 mm. The three of them shows good agreement on dielectric thickness of 3 mm and 4 mm with an error of 5.79% for the analytical and experimental, 2.95% for the simulation and experimental and 5.34% for the analytical and simulation. At the dielectric thickness of 6 mm some of the analytical model assumption is no longer valid, and thus a comparison couldn’t be done.