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Numerical and experimental investigation of oblique shock wave reflection off a water wedge

Published online by Cambridge University Press:  10 August 2017

Q. Wan ,
H. Jeon ,
R. Deiterding  and
V. Eliasson Open the ORCID record for V. Eliasson [Opens in a new window]
Q. Wan
Affiliation:
Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1189, USA
H. Jeon
Affiliation:
Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1189, USA
R. Deiterding
Affiliation:
Aerodynamics and Flight Mechanics Research Group, University of Southampton, Southampton SO17 1BJ, UK
V. Eliasson*
Affiliation:
Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1189, USA Department of Structural Engineering, University of California, San Diego, La Jolla, CA 92093-0085, USA
*
†Email address for correspondence: eliasson@ucsd.edu
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Abstract

Shock wave interaction with solid wedges has been an area of much research in past decades, but so far very few results have been obtained for shock wave reflection off liquid wedges. In this study, numerical simulations are performed using the inviscid Euler equations and the stiffened gas equation of state to study the transition angles, reflection patterns and triple point trajectory angles of shock reflection off solid and water wedges. Experiments using an inclined shock tube are also performed and schlieren photography results are compared to simulations. Results show that the transition angles for the water wedge cases are within 5.3 % and 9.2 %, for simulations and experiments respectively, compared to results obtained with the theoretical detachment criterion for solid surfaces. Triple point trajectory angles are measured and compared with analytic solutions, agreement within $1.3^{\circ }$ is shown for the water wedge cases. The transmitted wave in the water observed in the simulation is quantitatively studied, and two different scenarios are found. For low incident shock Mach numbers, $M_{s}=1.2$ and 2, no shock wave is formed in the water but a precursor wave is induced ahead of the incident shock wave and passes the information from the water back into the air. For high incident shock Mach numbers, $M_{s}=3$ and 4, precursor waves no longer appear but instead a shock wave is formed in the water and attached to the Mach stem at every instant. The temperature field in the water is measured in the simulation. For strong incident shock waves, e.g. $M_{s}=4$, the temperature increment in the water is up to 7.3 K.

JFM classification

Compressible Flows: Compressible Flows Compressible Flows: Gas dynamics Compressible Flows: Shock waves
Type
Papers
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Journal of Fluid Mechanics , Volume 826 , 10 September 2017 , pp. 732 - 758
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© 2017 Cambridge University Press 

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