## 1 Introduction  
Rotary detonation engine (RDE) is a new type of cycle power system that has a thermal cycle efficiency about 30% higher than that of an aero-turbine engine with isobaric combustion and can work continuously after ignition and provide stable thrust. It has broad application prospects in near space high-speed vehicles and so on [1; 2; 3]. At present, the detonation of a kerosene-air mixture faces prominent problems such as the slow evaporation of kerosene atomization [4; 5], poor mixing effect, high ignition energy [6], and low chemical reaction rate. Auxiliary initiation methods such as hydrogen doping [7; 8], oxygen supplementation [9; 10], and preheating [11] are not suitable for equipping aircraft in service. Enhancing the activity of the kerosene-air mixture through fuel pyrolysis is expected to reduce the initiation energy and achieve the stable propagation of a detonation wave. Therefore, it is of great significance to solve the problem of kerosene-air detonation. In the field of plasma fuel pyrolysis, a large number of studies have been carried out on hydrogen preparation and solid waste pyrolysis [12; 13]. In addition, ethers, alcohols [14], methane [15], gasoline, diesel, macromolecular hydrocarbons [16], and other related fuel pyrolyses have also been carried out. With the development of the plasma form from the early arc thermal plasma to the present dielectric barrier discharge, corona, surface wave, and other cold plasma [17; 18], gliding arc discharge and other efficient plasma methods have also been developing, and good results have been achieved in hydrogen production by cracking hydrocarbons such as trimethylpentane, tridecane, hexadecane, and diesel oil [19; 20; 21]. Gliding arc has a potential high electron density and can operate at atmospheric pressure [22; 23], which makes it stand out from most non-equilibrium plasma. [PERSON] et al. studied the high-power gliding arc driven by turbulent gas flow using a combination of optical and electrical diagnostics. According to the discharge phenomena, the gliding arc discharge was divided into two types: the glow type and spark type, which depended on the air flow rate and input power. In addition, it was found that the short circuit phenomenon would occur due to arc distortion and folding, and the local re-ignition phenomenon would also occur due to the increase of the internal impedance of the plasma stream column. Turbulence affected the gliding arc discharge by controlling the large-scale eddy to cause a short circuit and a small-scale eddy to cause local re-ignition [24]. [PERSON] et al. studied the gliding arc discharge with typical geometry under atmospheric air inflow and the discharge current was maintained at a relatively low level (0.2 A). The discharge started at spark breakdown, where the gap between the electrodes was very small, and then changed to a glow discharge. In the later stage, the flow column began to move between the electrodes under the action of air flow. The typical cathode-voltage-drop value in this regime was estimated to be about 300 V, an average electric field in the positive column plasma was 700-800 V/cm, and the neutral-particle temperature in the negative glow region was T-1100 K [25]. [PERSON] et al. studied the rotating gliding arc discharge controlled by unidirectional Lorentz force. In this way, the plasma could not further elongate or disappear, and the electrical parameters could be accurately controlled. The effects of current on plasma motion, the presence of an 'overshooting' regime, voltage characteristics, and rotational and vibration temperatures at atmospheric pressure were introduced [26]. [PERSON] et al. studied a DC rotary gliding arc reactor at atmospheric pressure and found that there were two different motion patterns in air and N\({}_{2}\). The time-resolved arc voltage signal showed three motion modes of the gliding arc: the arc restrike mode, takeover model, and combined models.