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Surface dielectric barrier discharge (SDBD) actuators driven by the Pulsed-DCvoltages are analyzed. The Pulsed-DC SDBD studied in this work is equivalent toa classical SDBD driven by a tailored Fast-Rise-Slow-Decay (FRSD) voltagewaveform. The plasma channel formation and charge production process in thevoltage rising stage are studied at different slopes using a classical 2D fluidmodel, the thrust generated in the voltage decaying stage is studied based onan analytical approach taking 2D model results as the input. A thrust pulse isgenerated in the trailing edge of the voltage waveform and reaches maximum whenthe voltage decreases by approximately the value of cathode voltagefall~($\approx$600~V). The time duration of the rising and trailing edge, thedecay rate and the amplitude of applied voltage are the main factors affectingthe performance of the actuator. Analytical expressions are formulated for thevalue and time moment of peak thrust, the upper limit of thrust is alsoestimated. Higher voltage rising rate leads to higher charge density in thevoltage rising stage thus higher thrust. Shorter voltage trailing edge, ingeneral, results in higher value and earlier appearance of the peak thrust. Thedetailed profile of the trailing edge also affects the performance. Results inthis work allow us to flexibly design the FRSD waveforms for an SDBD actuatoraccording to the requirements of active flow control in different applicationconditions.

Modeling and theoretical analysis of SDBD plasma actuators driven by Fast-Rise-Slow-Decay Pulsed-DC voltages