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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MDPI AG
2021-12-01
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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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id | doaj.art-cb13c6f4a7414a1ea5a2f953a3b12a80 |
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issn | 2311-5521 |
language | English |
last_indexed | 2024-03-10T04:09:34Z |
publishDate | 2021-12-01 |
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series | Fluids |
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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