Shock wave interaction with a high-density step-like layer

G. Ben-Dor; D. Rayevsky

doi:10.1016/0169-5983(94)90054-X

Shock wave interaction with a high-density step-like layer

G. Ben-Dor, D. Rayevsky

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The interaction of a planar shock wave with a step-like high density layer (low temperature or low speed of sound) has been investigated both numerically and analytically. It has been shown that depending on the incident shock wave Mach number, M_(s), and the densities ratio across the interface, ρ₄ ρ₀, the transmitted shock wave can reflect from the bottom rigid surface either as a stationary regular reflection (RR) or as a stationary Mach reflection (MR). However, even when a stationary regular reflection is established, it is preceded by a transient Mach reflection. In addition, it has been proven that in agreement with Hornung et al.'s (1979, J. Fluid Mech. 90, 541-560) length scale concept, the MR → RR transition takes place at the normal shock point, i.e., the so-called mechanical-equilibrium condition.

Original language	English
Pages (from-to)	261-279
Number of pages	19
Journal	Fluid Dynamics Research
Volume	13
Issue number	5
DOIs	https://doi.org/10.1016/0169-5983(94)90054-X
State	Published - 1 Jan 1994

ASJC Scopus subject areas

Mechanical Engineering
General Physics and Astronomy
Fluid Flow and Transfer Processes

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title = "Shock wave interaction with a high-density step-like layer",

abstract = "The interaction of a planar shock wave with a step-like high density layer (low temperature or low speed of sound) has been investigated both numerically and analytically. It has been shown that depending on the incident shock wave Mach number, M(s), and the densities ratio across the interface, ρ4 ρ0, the transmitted shock wave can reflect from the bottom rigid surface either as a stationary regular reflection (RR) or as a stationary Mach reflection (MR). However, even when a stationary regular reflection is established, it is preceded by a transient Mach reflection. In addition, it has been proven that in agreement with Hornung et al.'s (1979, J. Fluid Mech. 90, 541-560) length scale concept, the MR → RR transition takes place at the normal shock point, i.e., the so-called mechanical-equilibrium condition.",

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AU - Rayevsky, D.

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AB - The interaction of a planar shock wave with a step-like high density layer (low temperature or low speed of sound) has been investigated both numerically and analytically. It has been shown that depending on the incident shock wave Mach number, M(s), and the densities ratio across the interface, ρ4 ρ0, the transmitted shock wave can reflect from the bottom rigid surface either as a stationary regular reflection (RR) or as a stationary Mach reflection (MR). However, even when a stationary regular reflection is established, it is preceded by a transient Mach reflection. In addition, it has been proven that in agreement with Hornung et al.'s (1979, J. Fluid Mech. 90, 541-560) length scale concept, the MR → RR transition takes place at the normal shock point, i.e., the so-called mechanical-equilibrium condition.

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Shock wave interaction with a high-density step-like layer

Abstract

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