PIV test investigation on flow characteristics induced by plasma aerodynamic actuation of different time scale X. D. Wang1, H. Liang2, H. M. Song1, J. X. Bai2, X. F. Shi2, X. D. Shang2 ( 1Plasma Dynamics Lab, Engineering College, Air Force Engineering University, Xi'an, 710038 China 2 Training Center, the Fifth Flight College of the Air Force, WuWei, 733003 China ) Abstract: Plasma flow control, as a novel active flow control technique, has become a newly-rising focus of international aerodynamics and aerothermodynamics fields. PIV test investigations on flow characteristics induced by plasma aerodynamic actuation were done in the paper. The results showed that the flow induced by millisecond plasma aerodynamic actuation comes out as starting vortex and wall jet. The maximal velocity induced by millisecond discharge is about 5 m/s. The higher the voltage is, the stronger the starting vortex and the wall jet are. While the maximal velocity induced by nanosecond plasma aerodynamic actuation is about 0.5 m/s and the flow is similar to a shock wave upward. The discharge current for nanosecond discharge is 4 A which is much higher than that of millisecond discharge (0.1 A). So the nanosecond discharge results in a local fast heating due to high reduced electric field. The local heating caused pressure and temperature rise. The propagation of the pressure and heat induces shock wave and vortex which can enhance momentum and energy exchange between the boundary layer and inflow greatly. So nanosecond discharge is more effective than millisecond discharge in flow separation control. The results are instructional for increasing the ability of plasma flow control and can lay a foundation for the understanding of nanosecond discharge plasma flow control. Keywords: induced flow; PIV; plasma aerodynamic actuation; microsecond discharge; nanosecond discharge 1. Introduction Plasma flow control, as a novel active flow control technique, has become a newly-rising focus of international aerodynamics and aerothermodynamics fields for its potential application prospects in drag reduction and lift augmentation of aircrafts and stability extension and efficiency improving of aero engines. Plasma flow control has several distinct advantages associated with plasma actuators, including the absence of complicated mechanical systems, their low weights and sizes, their operation over a broad range of frequencies, as well as their relative low power consumption. The characteristics tests of plasma aerodynamic actuation are of vital importance in the mechanism understanding for plasma flow control. A lot of works devoted to characteristics diagnosis has appeared in the past ten years[1-5]. Most of the previous experimental and simulation studies mainly focused on the asymmetric dielectric barrier discharge plasma aerodynamic actuation excited by sinusoidal or sawtooth voltage waveforms at amplitude of 2-20 kV and frequency of 1-100 kHz, which can be named as the microsecond discharge plasma aerodynamic actuation. In paper6, the acceleration effects of the microsecond discharge were investigated. In paper7, the velocity profile was measured by PIV tests. In the study8, the velocity of the boundary layer was tested by pitot probe. In order to better understand the underlying physical mechanism of nanosecond discharge plasma flow control, it is important to investigate the unsteady characteristics of the nanosecond discharge plasma aerodynamic actuation. In this paper, PIV test investigation on flow induced by plasma aerodynamic actuation of different time scale was done. 2. Experimental Setup A schematic of the dielectric barrier discharge plasma aerodynamic actuator is shown in Fig. 1. The dielectric layer used is a RO4350B (Rogers Corporation) plate with a relative permittivity constant of 3.48. The electrodes are made of copper, covered with lead-tin film. The lower electrode, which is covered with silica gel, is grounded. The output voltage and the frequency range of the power 0.10 6 voltage(kV) voltage 0.06 current 0.04 2 0.02 0.00 0 -0.02 -2 -0.04 current(A) 0.08 4 -0.06 -4 -0.08 -6 -0.00009 -0.00008 -0.00007 -0.00006 -0.00005 -0.10 -0.00004 t/s Figure 2. Discharge voltage and current for microsecond discharge 12 4 10 voltage 8 3 current 2 6 4 1 2 0 0 -2 -1 current(A) voltage(kV) supply used for microsecond discharge are 0-40 kV and 6-40 kHz, respectively. The output voltage and the frequency range of the power supply used for nanosecond discharge are 5-80 kV and 0.1-2 kHz, respectively. The rise time and full width half maximum (FWHM) are 10-30 ns and 30-50 ns, respectively. The applied voltage and the discharge current are measured by a high voltage probe (Tektronix P6015A) and a current probe (Tektronix TCP312+TCPA300). Signals are recorded on an oscilloscope (Tektronix DPO4104). The velocity and vorticity induced by the plasma aerodynamic actuation are measured by Particle Image Velocimetry (Lavision). A high repetition double pulsed Nd:YAG laser (135mJ/pulse) was used as the light source. The interval of the laser pulse was 120ns. The repetition rate of the each laser was 5 kHz. The resolution of the camera was 1600pix ×1200pix. The air is seeded by vaporization of mineral oil with a mean size of about 0.3 µm. The flow characteristics of both the nanosecond discharge and microsecond discharge plasma aerodynamic actuation are measured. -4 -2 -6 -8 -0.000002 -0.000001 0.000000 0.000001 -3 0.000002 t/s Figure 2. Discharge voltage and current for nanosecond discharge 3.2 The flow induced by microsecond discharge The cross-correlation function of the test area is shown in figure 4. The peak value of the cross-correlation function is obvious. It is verified that the seed particle is traveling with the flow velocity and the tests results are reliable. Figure 1. A schematic of the asymmetric surface dielectric barrier discharge plasma aerodynamic actuator(not to scale). d1 = 2 mm. d2 = 2 mm. Δd = 0 mm. hd = 0.5 mm. he = 0.035mm. 3. Experimental results and conclusions 3.1 Electrical Characteristics The measurements of the applied voltage and the discharge current are shown in Fig. 2 and 3. We can see from figure 2 and 3 that the applied voltage for microsecond discharge and nanosecond discharge are nearly of the same value. But the maximal discharge current for microsecond discharge is 0.1 A, the nanosecond discharge is 4A which is much bigger than that of millisecond discharge and microsecond discharge. The bigger the discharge current is, the stronger the instant actuation intensity is. Figure 4. The cross-correlation function near the actuator The velocity and vorticity induced by millisecond plasma aerodynamic actuation in stationary air are shown in Fig. 4. The applied voltage was 12 kV. The actuator was positioned at x=50 mm. The maximal induced velocity is about 5 m/s, it appears 5 mm downstream the actuator. In the early stage, a vortex is bigger than that of the wall jet, that is to say, the discharge intensity of beginning stage is stronger than that of the steady stage. 80 80 60 60 60 40 20 y/mm 80 y/mm y/mm starting vortex is induced at t=1/3 s. The starting vortex develops into a quasi-steady wall jet finally at t=2.5 s. The velocity and vorticity of the starting 40 20 actuator 20 actuator 60 80 100 120 actuator 60 80 x/mm 100 120 60 (b) t=1/12s 60 60 y/mm 60 y/mm 80 40 20 20 80 100 100 120 40 20 actuator actuator 120 (c) t=1/3s 80 40 100 x/mm 80 60 80 x/mm (a) t=0 y/mm 40 actuator 60 120 80 100 120 60 80 x/mm x/mm x/mm (d) t=1/2s (e) t=1s (f) t=2.5s Figure 3. PIV test results of velocity and vorticity induced by millisecond plasma aerodynamic actuation induced by nanosecond plasma aerodynamic actuation is about 0.5 m/s, which is much less than that of the millisecond plasma aerodynamic actuation. Secondly, the flow induced by nanosecond plasma aerodynamic actuation develops slowly. It turns into steady wall jet at t=10s. Thirdly, the flow induced by nanosecond plasma actuation is not in the form of starting vortex and wall jet, it is be similar to a shock wave upward. 3.3 The flow induced by nanosecond discharge The flow induced by nanosecond plasma aerodynamic actuation is shown in Fig. 7. The applied voltage is 10kV and the pulse frequency is f=1.8 kHz. The actuator is positioned at x=35mm. We can see from the figure that it is different from the flow induced by millisecond plasma aerodynamic actuation. Firstly, the maximal velocity 40 20 60 y/mm 60 y/mm y/mm 60 40 20 0 20 0 0 50 x/mm (a) t=0 100 40 0 0 50 x/mm (b) t=1/12 s 100 0 50 x/mm (c) t=1/2 s 100 40 20 60 y/mm 60 y/mm y/mm 60 40 20 0 20 0 0 50 100 0 0 x/mm 50 100 0 x/mm (d) t=1 s y/mm y/mm 60 40 20 20 0 50 100 40 20 0 0 100 (f) t=3 s 60 40 50 x/mm (e) t=2 s 60 y/mm 40 0 0 x/mm 50 100 x/mm 0 50 100 x/mm (g) t=6 s (h) t=8 s (i) t=10 s Figure 7. PIV test results of velocity and vorticity induced by nanosecond plasma aerodynamic actuation In Fig.7 the induced flow direction by nanosecond discharge is vertical to the dielectric layer surface, while the flow induced by microsecond discharge plasma aerodynamic actuation is parallel to the dielectric layer surface. Due to the higher ionization and dissociation degrees in the nanosecond discharge plasma, the local particle density near the electrode is also higher, which induces stronger local pressure rise and then the vertical air flow. 4. Conclusions To summarize, the flow induced by millisecond plasma aerodynamic actuation comes out as starting vortex and wall jet. The maximal velocity induced by millisecond discharge is about 5 m/s. The higher the voltage is, the stronger the starting vortex and the wall jet are. While the maximal velocity induced by nanosecond plasma aerodynamic actuation is about 0.5 m/s and the flow is similar to a shock wave upward. The discharge current for nanosecond discharge is 4 A which is much higher than that of millisecond discharge (0.1 A). So the nanosecond discharge results in a local fast heating due to high reduced electric field. The local heating caused pressure and temperature rise. The propagation of the pressure and heat induces shock wave and vortex which can enhance momentum and energy exchange between the boundary layer and inflow greatly. So nanosecond discharge is more effective than millisecond discharge in flow separation control. References [1] Moreau E. Airflow control by non-thermal plasma actuators[J]. Journal of Physics D: Applied Physics, 2007, 40(3): 605-636 [2] Corke T C, Enloe C L, Wilkinson S P. Dielectric barrier discharge plasma actuators for flow control[J]. Annual Review of Fluid Mechanics, 2010, 42: 505-529 [3] Moreau E. Airflow control by non-thermal plasma actuators[J]. Journal of Physics D: Applied Physics, 2007, 40: 605-636 [4] Santhanakrishnan A, Jacob J D. Flow control with plasma synthetic jet actuators[J]. Journal of Physics D: Applied Physics, 2007, 40: 637-651 [5] Porter C O, Baughn J W, McLaughlin T E, et al. Plasma actuator force measurements[J]. AIAA Journal, 2007, 45(7): 1562-1570 [6] Boxx, I.G, Newcamp, J.M, et al. 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