Abstract
The propagation and mitigation of shock waves inside the shock tube have a great interest to researchers. This study focuses on shock wave mitigation using different geometric barriers inside the shock tube's driven section. The underlying concept of shock mitigation is to produce a multiple reflection and diffraction of a shock wave with very minimum flow obstructions. The planar shock wave generated from the shock tube interacted with different geometric barriers like a zig-zag barrier, inclined barrier, and staggered vertical barrier was studied computationally and discussed. In the zig-zag barrier case, the shock wave was repeatedly reflected and diffracted inside the geometrical passage without any obstructions and mitigated the shock wave. On the other hand, inclined and staggered vertical barrier cases involve the alternate flow obstruction due to the barrier, which retards the mass motion velocity. It results in a significant reduction of shock pressure in the downstream region. The numerical analysis was simulated using the inviscid and Navier–Stokes equations with air as an ideal gas. The numerical model was validated based on the experimental results. The numerical studies show that the geometric barriers have a considerable impact on the mitigation of shock wave inside the shock tube.
Graphical abstract
Similar content being viewed by others
References
Baer MR (1992) A numerical study of shock wave reflections on low density foam. Shock Waves 2:121–124. https://doi.org/10.1007/BF01415901
Bakken J, Slungaard T, Engebretsen T, Christensen SO (2003) Attenuation of shock waves by granular filters. Shock Waves 13:33–40. https://doi.org/10.1007/s00193-003-0180-7
Ben-Dor G (1992) Shock wave reflection phenomena. Shock Wave Reflect Phenom. https://doi.org/10.1007/978-1-4757-4279-4
Berger S, Sadot O, Ben-Dor G (2010) Experimental investigation on the shock-wave load attenuation by geometrical means. Shock Waves 20:29–40. https://doi.org/10.1007/s00193-009-0237-3
Britan A, Igra O, Ben-Dor G, Shapiro H (2006) Shock wave attenuation by grids and orifice plates. Shock Waves 16:1–15. https://doi.org/10.1007/s00193-006-0019-0
Britan A, Shapiro H, Liverts M et al (2013) Macro-mechanical modelling of blast wave mitigation in foams. Part I: review of available experiments and models. Shock Waves 23:5–23. https://doi.org/10.1007/s00193-012-0417-4
Chaudhuri A, Hadjadj A, Sadot O, Ben-Dor G (2013) Numerical study of shock-wave mitigation through matrices of solid obstacles. Shock Waves 23:91–101. https://doi.org/10.1007/s00193-012-0362-2
Foglar M, Hajek R, Kovar M, Štoller J (2015) Blast performance of RC panels with waste steel fibers. Constr Build Mater 94:536–546. https://doi.org/10.1016/j.conbuildmat.2015.07.082
Hajek R, Foglar M, Fladr J (2016) Influence of barrier material and barrier shape on blast wave mitigation. Constr Build Mater 120:54–64. https://doi.org/10.1016/j.conbuildmat.2016.05.078
Hicks RR, Fertig SJ, Desrocher RE et al (2010) Neurological effects of blast injury. J Trauma Inj Infect Crit Care 68:1257–1263. https://doi.org/10.1097/TA.0b013e3181d8956d
Igra O, Wu X, Falcovitz J et al (2001) Experimental and theoretical study of shock wave propagation through double-bend ducts. J Fluid Mech 437:255–282. https://doi.org/10.1017/S0022112001004098
Igra O, Falcovitz J, Houas L, Jourdan G (2013) Review of methods to attenuate shock/blast waves. Prog Aerosp Sci 58:1–35. https://doi.org/10.1016/j.paerosci.2012.08.003
Kitagawa K, Yasuhara M, Takayama K (2006) Attenuation of shock waves propagating in polyurethane foams. Shock Waves 15:437–445. https://doi.org/10.1007/s00193-006-0042-1
Launder and Spalding (2013) ANSYS, Inc, ANSYS Fluent User’s Guide, Release 15.0. Canonsburg, PA 15317
Needham CE (2018) Blast waves, 2nd edn. Springer, Berlin, Heidelberg
Ohtomo F, Ohtani K, Takayama K (2005) Attenuation of shock waves propagating over arrayed baffle plates. Shock Waves 14:379–390. https://doi.org/10.1007/s00193-005-0282-5
Petel OE, Ouellet S, Higgins AJ, Frost DL (2013) The elastic-plastic behaviour of foam under shock loading. Shock Waves 23:55–67. https://doi.org/10.1007/s00193-012-0414-7
Rajasekar J, Kim TH, Kim HD (2020) Visualization of shock wave propagation due to underwater explosion. J vis. https://doi.org/10.1007/s12650-020-00664-9
Sawyer TW, Josey T, Wang Y et al (2018) Investigations of primary blast-induced traumatic brain injury. Shock Waves 28:85–99. https://doi.org/10.1007/s00193-017-0756-2
Sembian S, Liverts M, Apazidis N (2016) Attenuation of strong external blast by foam barriers. Phys Fluids. https://doi.org/10.1063/1.4963243
Sommerfeld M (1985) The unsteadiness of shock waves propagating through gas-particle mixtures. Exp Fluids 3:197–206. https://doi.org/10.1007/BF00265101
Song B, Chen WW, Dou S et al (2005) Strain-rate effects on elastic and early cell-collapse responses of a polystyrene foam. Int J Impact Eng 31:509–521. https://doi.org/10.1016/j.ijimpeng.2004.02.003
Sounik DF, Gansen P, Clemons JL, Liddle JW (1997) Head-impact testing of polyurethane energy-abosrbing (EA) foams. SAE Tech Pap. https://doi.org/10.4271/970160
Wu K, Zhang G, Kim HD (2019) Study on the Mach and regular reflections of shock wave. J vis 22:283–303. https://doi.org/10.1007/s12650-018-00542-5
Acknowledgements
This work was supported by the National Research Foundation of Korean (NRF) grant funded by the Korea government (MSIP) (No. NRF-2021R1I1A3044216).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Rajasekar, J., Yaga, M. & Kim, H.D. Numerical prediction on the mitigation of shock wave using geometric barriers. J Vis 26, 83–96 (2023). https://doi.org/10.1007/s12650-022-00866-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12650-022-00866-3