Ambiguity of solution for triple configurations of stationary shocks with negative reflection angle

Чернышов, М. В.; Kapralova, Anna S.; Savelova, Karina E.

doi:10.1016/j.actaastro.2020.11.015

Cited by 9 publications

(15 citation statements)

References 24 publications

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“…According to relation (13), a decrease in the adiabatic index 3 γ and, accordingly, in the value ( ) ( ) (6c) and 3 1 γ = (6d). In the latter limiting case ( 3 1 γ → ), the asymptotic (at M → ∞ ) minimum parameters of the incident shock obey the relations…”

Section: Influence Of the Pulsed Energy Release At The Main Shockmentioning

confidence: 99%

“…The conditions for the existence of an SMC in a perfect gas flow without pulsed energy release and real gas transformations were studied in detail in [2,4,13]. A stationary Mach configuration exists at M > M a ; here M a = (2 − ε)/(1 − ε) = 1.483.…”

Section: Stationary Mach Configurations In a Perfect Gas Flow With A ...mentioning

confidence: 99%

“…According to relation (13), a decrease in the adiabatic index γ 3 and, accordingly, in the value ε 3 = (γ 3 − 1)/(γ 3 + 1) leads to a decrease in the normal shock strength J max at maximum possible pulsed energy release. At the same time, the minimum intensity J 1s of the incident shock that forms the SMC (relation ( 18) determines it at γ 3 = γ) also decreases.…”

Section: Influence Of Adiabatic Index Variation Due To Real Gas Effectsmentioning

confidence: 99%

“…In the recent 15-20 years, a classification of triple configurations [1,2] was developed, their parametric analysis was obtained [2][3][4][5][6], configurations with special properties of individual shocks [4] and extreme ratios of flow parameters on both sides of the emanating slipstream [4,7] were found and studied, and the obtained solutions were generalized for triple configurations of propagating shock waves [8]. Possible additional studies in this direction in the near future can cover the problems of performability of triple configurations forming at Mach reflection with a negative inclination angle of the reflected shock [7,[9][10][11][12][13] or the analysis of differential characteristics of the flowfield applying the dynamic compatibility conditions [2,14].…”

Section: Introductionmentioning

confidence: 99%

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Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock

Чернышов

Kapralova

Матвеев

et al. 2021

Fluids

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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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Section: Influence Of the Pulsed Energy Release At The Main Shockmentioning

confidence: 99%

Section: Stationary Mach Configurations In a Perfect Gas Flow With A ...mentioning

confidence: 99%

Section: Influence Of Adiabatic Index Variation Due To Real Gas Effectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stationary Mach Configurations with Pulsed Energy Release on the Normal Shock

Чернышов

Kapralova

Матвеев

et al. 2021

Fluids

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“…В [9] исследованы эффекты формирования тонких возвратных струй вблизи поверхности клина и интенсивных циркуляционных течений за маховской ножкой при двойном маховском отражении. Аналитическое исследование областей существования стационарных тройных конфигураций с отрицательным отражением проведено в [10,11].…”

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Отрицательное Маховское Отражение С Множественными Тройными Конфигурациями При Дифракции Ударной Волны На Клине

Георгиевский¹,

Максимов²,

Фокеев³

2021

Письма В Журнал Технической Физики

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Within the framework of the Euler equations, a numerical study of the structure of a self-similar flow for various types of negative Mach reflection during diffraction of a shock wave by a wedge is performed. Along with the known modes of double and triple Mach reflection, a qualitatively new mode of negative Mach reflection with multiple three-shock configurations is observed. Peculiarities of the transition from multiple Mach reflection to regular reflection when changing the wedge angle are noted.

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