Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock

We obtained a theoretical analysis of stationary Mach configurations of shock waves with a pulsed energy release at the main (normal) shock and a corresponding change in gas thermodynamic properties. As formation of the stationary Mach configuration corresponds to one of two basic, well-known criter...

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Main Authors: Mikhail V. Chernyshov, Anna S. Kapralova, Stanislav A. Matveev, Karina E. Savelova
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/6/12/439
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author Mikhail V. Chernyshov
Anna S. Kapralova
Stanislav A. Matveev
Karina E. Savelova
author_facet Mikhail V. Chernyshov
Anna S. Kapralova
Stanislav A. Matveev
Karina E. Savelova
author_sort Mikhail V. Chernyshov
collection DOAJ
description We obtained a theoretical analysis of stationary Mach configurations of shock waves with a pulsed energy release at the main (normal) shock and a corresponding change in gas thermodynamic properties. As formation of the stationary Mach configuration corresponds to one of two basic, well-known criteria of regular/Mach shock reflection transition, we studied here how the possibility of pulsed energy release at the normal Mach stem shifts the von Neumann criterion, and how it correlates then with another transition criterion (the detachment one). The influence of a decrease in the “equilibrium” gas adiabatic index at the main shock on a shift of the solution domain was also investigated analytically and numerically. Using a standard detonation model for a normal shock in stationary Mach configuration, and ordinary Hugoniot relations for other oblique shocks, we estimated influence of pulsed energy release and real gas effects (expressed by decrease of gas adiabatic index) on shift of von Neumann criterion, and derived some analytical relations that describe those dependencies.
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spelling doaj.art-cb13c6f4a7414a1ea5a2f953a3b12a802023-11-23T08:15:31ZengMDPI AGFluids2311-55212021-12-0161243910.3390/fluids6120439Stationary Mach Configurations with Pulsed Energy Release on the Normal ShockMikhail V. Chernyshov0Anna S. Kapralova1Stanislav A. Matveev2Karina E. Savelova3Department of Plasma and Gas Dynamics, Baltic State Technical University “VOENMEH”, 1 Pervaya Krasnoarmeyskaya Ul., 190005 Saint Petersburg, RussiaDepartment of Plasma and Gas Dynamics, Baltic State Technical University “VOENMEH”, 1 Pervaya Krasnoarmeyskaya Ul., 190005 Saint Petersburg, RussiaDepartment of Plasma and Gas Dynamics, Baltic State Technical University “VOENMEH”, 1 Pervaya Krasnoarmeyskaya Ul., 190005 Saint Petersburg, RussiaDepartment of Plasma and Gas Dynamics, Baltic State Technical University “VOENMEH”, 1 Pervaya Krasnoarmeyskaya Ul., 190005 Saint Petersburg, RussiaWe obtained a theoretical analysis of stationary Mach configurations of shock waves with a pulsed energy release at the main (normal) shock and a corresponding change in gas thermodynamic properties. As formation of the stationary Mach configuration corresponds to one of two basic, well-known criteria of regular/Mach shock reflection transition, we studied here how the possibility of pulsed energy release at the normal Mach stem shifts the von Neumann criterion, and how it correlates then with another transition criterion (the detachment one). The influence of a decrease in the “equilibrium” gas adiabatic index at the main shock on a shift of the solution domain was also investigated analytically and numerically. Using a standard detonation model for a normal shock in stationary Mach configuration, and ordinary Hugoniot relations for other oblique shocks, we estimated influence of pulsed energy release and real gas effects (expressed by decrease of gas adiabatic index) on shift of von Neumann criterion, and derived some analytical relations that describe those dependencies.https://www.mdpi.com/2311-5521/6/12/439steady shock waveMach reflectionvon Neumann criteriontriple configurationdetonationreal gas effects
spellingShingle Mikhail V. Chernyshov
Anna S. Kapralova
Stanislav A. Matveev
Karina E. Savelova
Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock
Fluids
steady shock wave
Mach reflection
von Neumann criterion
triple configuration
detonation
real gas effects
title Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock
title_full Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock
title_fullStr Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock
title_full_unstemmed Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock
title_short Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock
title_sort stationary mach configurations with pulsed energy release on the normal shock
topic steady shock wave
Mach reflection
von Neumann criterion
triple configuration
detonation
real gas effects
url https://www.mdpi.com/2311-5521/6/12/439
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AT annaskapralova stationarymachconfigurationswithpulsedenergyreleaseonthenormalshock
AT stanislavamatveev stationarymachconfigurationswithpulsedenergyreleaseonthenormalshock
AT karinaesavelova stationarymachconfigurationswithpulsedenergyreleaseonthenormalshock