Theoretical Scheme and Application of Controllable Reshock Richtmyer-Meshkov Mixing
Reshocked Richtmyer-Meshkov(RM)turbulent mixing phenomenon is widely present in various natural phenomena and engineering problems.The mixing width,as the most fundamental physical quantity for characterizing the evolution of reshocked RM mixing,has been found to be influenced by key physical quantities such as reshock time and Mach number.However,the quantitative dependence relationship between these variables remains controversial.One reason for the above situation is that the existing experiment and simulation schemes for reshocked RM mixing are difficult to achieve isolated changes of only a single dependent variable,which increases the difficulty of determining quantitative relationships.Therefore,this study designed a new type of reshock RM mixing shock tube.It eliminates the fixed wall used for reflecting shock waves in traditional shock tubes and replacing it with an open end that can freely generate incident shock waves.The new shock tube can achieve precise and controllable reshock Mach number and time by changing the distance and intensity of two incident shock waves.This article describes the entire process evolution of the new shock tube.By combining the shock relations,isentropic relations,and contact discontinuity compatibility relations,we establishes theoretical formulas for various kinematic and thermodynamic quantities throughout the entire process.Finally,Leinov's reshock RM mixing experiment was re-evaluated based on these theoretical relationships and numerical simulations.It was discovered that some test data under certain operating conditions did not conform to the theoretical relationships,suggesting possible measurement errors in key data corresponding to those conditions.The results provide reference for future experiments and numerical simulations.
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