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Pseudosteady shock refractions over an air–water interface

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Shock refraction in a gas–liquid interface is ubiquitous in nature and engineering. This study investigates the shock refraction phenomena in air–water interfaces for various inclination angles. The interface inclination angles are achieved using a tiltable vertical shock tube. The time-resolved schlieren images are compared with numerical simulations performed using the BlastFoam solver in the OpenFOAM software. The stiffened gas equation of state is used to model water in the simulations. The shock polar analysis using modified shock relations for a stiffened gas is used to elucidate the refraction patterns. A regular refraction pattern with a reflected shock wave and a bound precursor refraction with a regular reflection are observed experimentally for the first time in an air–water system. Further, a new free precursor refraction pattern with a Mach reflection is observed. The transition criteria and the corresponding boundaries for each refraction pattern are demarcated in the ( $M_S, \theta _w^c$ )-plane. The refraction sequence and the range for various incident shock strength regimes are also identified.
Title: Pseudosteady shock refractions over an air–water interface
Description:
Shock refraction in a gas–liquid interface is ubiquitous in nature and engineering.
This study investigates the shock refraction phenomena in air–water interfaces for various inclination angles.
The interface inclination angles are achieved using a tiltable vertical shock tube.
The time-resolved schlieren images are compared with numerical simulations performed using the BlastFoam solver in the OpenFOAM software.
The stiffened gas equation of state is used to model water in the simulations.
The shock polar analysis using modified shock relations for a stiffened gas is used to elucidate the refraction patterns.
A regular refraction pattern with a reflected shock wave and a bound precursor refraction with a regular reflection are observed experimentally for the first time in an air–water system.
Further, a new free precursor refraction pattern with a Mach reflection is observed.
The transition criteria and the corresponding boundaries for each refraction pattern are demarcated in the ( $M_S, \theta _w^c$ )-plane.
The refraction sequence and the range for various incident shock strength regimes are also identified.

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