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Passage of a Shock Wave through the Region of Ionization Instability of Gas Discharge Plasma: Experimental and Numerical Study

The article refers to the field of supersonic flow control via external energy deposition. Passing a 
strong shock wave (M=5-6) through the region of pre-formed ionization instability in gas discharge plasma has 
been studied experimentally and numerically. In the experiments the ionization spherical strata have been 
obtained arising in the gas discharge region due to the development of the ionization instability in air. As a 
result of the interaction of an initially plane shock wave with the plasma region of ionization instability the 
formation of new complicated shock-wave configurations was obtained the shape of which changed from 
smooth to gear. These configurations were shown to acquire an unstable character. Numerical simulations were 
carried out on the basis of the Euler system of equations with the parameters corresponding to the experimental 
conditions with the use of the complex conservative difference schemes. The stratified energy source was 
modelled by a set of thermal layers with varying characteristics. Changes in the physic-chemical properties of 
the medium were described by varying the adiabatic index. Stratified shock-wave structures consisting of 
modified wavy shock-wave and contact discontinuities have been obtained as a result of the interaction of the 
shock wave with the region of ionization instability. Generation of the Richtmyer-Meshkov instabilities has 
been obtained on the thermal strata in the vicinity of the shock wave front curvatures which confirmed the 
unstable character of the shock wave front. Comparison of the obtained experimental and numerical shock front 
evolution showed a good agreement. Results of the study can be used to control of high speed flows and 
shock-wave configurations, as well as mixing processes