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

Numerical and experimental investigation of oblique shock wave reflection off a water wedge
Numerical and experimental investigation of oblique shock wave reflection off a water wedge
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◦ 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, Ms = 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, Ms = 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., Ms = 4, the temperature increment in the water is up to 7.3K.
0022-1120
732-758
Wan, Qian
ac46fa3f-bb9e-44ab-8f68-3265c6804897
Jeon, Hongjoo
fed3a5dc-05d2-4349-b3b6-8b25cd1a4a24
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Eliasson, Veronica
1af4c4c5-25ad-4a1c-9b56-978f3b185f12
Wan, Qian
ac46fa3f-bb9e-44ab-8f68-3265c6804897
Jeon, Hongjoo
fed3a5dc-05d2-4349-b3b6-8b25cd1a4a24
Deiterding, Ralf
ce02244b-6651-47e3-8325-2c0a0c9c6314
Eliasson, Veronica
1af4c4c5-25ad-4a1c-9b56-978f3b185f12

Wan, Qian, Jeon, Hongjoo, Deiterding, Ralf and Eliasson, Veronica (2017) Numerical and experimental investigation of oblique shock wave reflection off a water wedge. Journal of Fluid Mechanics, 826, 732-758. (doi:10.1017/jfm.2017.452).

Record type: Article

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◦ 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, Ms = 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, Ms = 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., Ms = 4, the temperature increment in the water is up to 7.3K.

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wanEliasson_jfm_final - Accepted Manuscript
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Accepted/In Press date: 22 June 2017
e-pub ahead of print date: 10 August 2017
Published date: 10 September 2017
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 411781
URI: http://eprints.soton.ac.uk/id/eprint/411781
ISSN: 0022-1120
PURE UUID: 17afab31-969d-4fcd-aa5e-852694a0e73a
ORCID for Ralf Deiterding: ORCID iD orcid.org/0000-0003-4776-8183

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Date deposited: 26 Jun 2017 16:30
Last modified: 16 Mar 2024 05:28

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Contributors

Author: Qian Wan
Author: Hongjoo Jeon
Author: Ralf Deiterding ORCID iD
Author: Veronica Eliasson

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