Top

Experiments in Fluids

Published in:

01-06-2017 | Research Article

Experimental study of shock-accelerated inclined heavy gas cylinder

Authors: Dell Olmstead, Patrick Wayne, Jae-Hwun Yoo, Sanjay Kumar, C. Randall Truman, Peter Vorobieff

Published in: Experiments in Fluids | Issue 6/2017

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

An experimental study examines shock acceleration with an initially diffuse cylindrical column of sulfur hexafluoride surrounded by air and inclined with respect to the shock front. Three-dimensional vorticity deposition produces flow patterns whose evolution is captured with planar laser-induced fluorescence in two planes. Both planes are parallel to the direction of the shock propagation. The first plane is vertical and passes through the axis of the column. The second visualization plane is normal to the first plane and passes through the centerline of the shock tube. Vortex formation in the vertical and centerline planes is initially characterized by different rates and morphologies due to differences in initial vorticity deposition. In the vertical plane, the vortex structure manifests a periodicity that varies with Mach number. The dominant wavelength in the vertical plane can be related to the geometry and compressibility of the initial conditions. At later times, the vortex interaction produces a complex and irregular three-dimensional pattern suggesting transition to turbulence. Highly repeatable experimental data are presented for Mach numbers 1.13, 1.4, 1.7, and 2.0 at column incline angles of 0\(^{\circ }\), 20\(^{\circ }\), and 30\(^{\circ }\) for about 50 nominal cylinder diameters (30 cm) of downstream travel.

previous article Automated mask generation for PIV image analysis based on pixel intensity statistics

next article Measurement of acoustic velocity components in a turbulent flow using LDV and high-repetition rate PIV

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Akula B, Suchandra P, Mikhaeil M, Ranjan D (2017) Dynamics of unstably stratified free shear flows: an experimental investigation of coupled Kelvin-Helmholtz and Rayleigh-Taylor instability. J Fluid Mech 816:619–660CrossRef

Anderson MJ (2011) Oblique shock interactions with perturbed density interfaces. Ph.D. thesis, University of New Mexico

Anderson M, Vorobieff P, Truman C, Corbin C, Kuehner G, Wayne P, Conroy J, White R, Kumar S (2015) An experimental and numerical study of shock interaction with a gas column seeded with droplets. Shock Waves 25(2):107–125CrossRef

Arnett D (2000) The role of mixing in astrophysics. Astrophys J Suppl Ser 127(2):213–217CrossRef

Balakumar B, Orlicz G, Ristorcelli J, Balasubramanian S, Prestridge K, Tomkins C (2012) Turbulent mixing in a Richtmyer–Meshkov fluid layer after reshock: velocity and density statistics. J Fluid Mech 696:67–93CrossRefMATH

Bernard T, Truman CR, Vorobieff P, Corbin C, Wayne P, Kuehner G, Anderson M, Kumar S (2015) Observation of the development of secondary features in a Richtmyer–Meshkov instability driven flow. J Fluids Eng 137(1):011206CrossRef

Budil K, Remington B, Peyser T, Mikaelian K, Miller P, Woolsey N, Wood-Vasey W, Rubenchik A (1996) Experimental comparison of classical versus ablative Rayleigh–Taylor instability. Phys Rev Lett 76(24):4536–4539CrossRef

Carmichael R (2013) vuCalc-a compressible flow calculator. VuCalc is based on a program of the same name written by Tom Benson of NASA Glenn as an aid to making calculations in compressible fluid dynamics. http://www.pdas.com/vucalc.html#oblq

Chapman PR, Jacobs JW (2006) Experiments on the three-dimensional incompressible Richtmyer–Meshkov instability. Phys Fluids 18(7):074101. doi:10.1063/1.2214647. http://scitation.aip.org/content/aip/journal/pof2/18/7/10.1063/1.2214647

Corbin C (2014) UNM shock tube modernization. Master’s thesis, University of New Mexico, Albuquerque, NM 87131, USA

Currie IG (2013) Fundamental mechanics of fluids, 4th edn, Ch. 3. CRC Press, Taylor and Francis Group, Boca Raton

Dutta S, Glimm J, Grove JW, Sharp DH, Zhang Y (2004) Spherical Richtmyer–Meshkov instability for axisymmetric flow. Math. Comput. Simul. 65(4–5):417430. doi:10.1016/j.matcom.2004.01.020 MathSciNetMATH

Fishbine B (2002) Code validation experiments. Los Alamos Res Q Fall 2002:6–14

Haas J-F (1995) Experiments and simulations on shock waves in non-homogeneous gases. In: Brun R, Dumitrescu LZ (eds) Shock waves @ Marseille IV. Springer, Berlin, pp 27–36. doi:10.1007/978-3-642-79532-9_4

Haas J-F, Sturtevant B (1987) Interaction of weak shock waves with cylindrical and spherical gas inhomogeneities. J Fluid Mech 181:41–76CrossRef

Henderson L, Colella P, Puckett E (1991) On the refraction of shock waves at a slow-fast gas interface. J Fluid Mech 224:1–27CrossRef

Jacobs JW (1993) The dynamics of shock accelerated light and heavy gas cylinders. Phys Fluids A 5(9):2239–2247CrossRef

Jahn RG (1956) The refraction of shock waves at a gaseous interface. J Fluid Mech 1(05):457–489CrossRef

Kane J, Drake R, Remington B (1999) An evaluation of the Richtmyer–Meshkov instability in supernova remnant formation. Astrophys J 511(1):335CrossRef

Knapp TR (2007) Bimodality revisited. J Mod Appl Stat Methods 6(1):8–20CrossRef

Kuehner G (2013) Behavior of the embedded phase in a shock-driven two-phase flow. Master’s thesis, The University of New Mexico, Albuquerque

Kuehner G (2014) Behavior of the embedded phase in a shock-driven two-phase flow. Master’s thesis, University of New Mexico, Albuquerque, NM 87131, USA

Kumar S, Hornung HG, Sturtevant B (2003) Growth of shocked gaseous interfaces in a conical geometry. Phys Fluids (1994-present) 15(10):3194–3208. doi:10.1063/1.1608011. http://scitation.aip.org/content/aip/journal/pof2/15/10/10.1063/1.1608011

Kumar S, Orlicz G, Tomkins C, Goodenough C, Prestridge K, Vorobieff P, Benjamin R (2005) Stretching of material lines in shock-accelerated gaseous flows. Phys Fluids 17(8):082107. doi:10.1063/1.2031347. http://scitation.aip.org/content/aip/journal/pof2/17/8/10.1063/1.2031347

Kumar S, Vorobieff P, Orlicz G, Palekar A, Tomkins C, Goodenough C, Marr-Lyon M, Prestridge KP, Benjamin RF (2007) Complex flow morphologies in shock-accelerated gaseous flows. Phys D: Nonlinear Phenom 235(12):21–28. doi:10.1016/j.physd.2007.04.023. http://www.sciencedirect.com/science/article/pii/S016727890700262X

Lindl JD, McCrory RL, Campbell EM (1992) Progress toward ignition and burn propagation in inertial confinement fusion. Phys Today 45(9):32–40. doi:10.1063/1.881318. http://link.aip.org/link/?PTO/45/32/1

Marble FE, Zukoski EE, Jacobs JW, Hendricks GJ, Waitz IA (1990) Shock enhancement and control of hypersonic mixing and combustion. Technical Report. AIAA 90-1981, American Institute of Aeronautics and Astronautics. http://resolver.caltech.edu/CaltechAUTHORS:20101209-134118457

McCoy R (1999) Modern exterior ballistics: the launch and flight dynamics of symmetric projectiles. Schiffer Publishing, Atglen

McFarland JA, Greenough JA, Ranjan D (2011) Computational parametric study of a Richtmyer–Meshkov instability for an inclined interface. Phys Rev E 84(2):026303CrossRef

McFarland J, Reilly D, Creel S, McDonald C, Finn T, Ranjan D (2014a) Experimental investigation of the inclined interface Richtmyer–Meshkov instability before and after reshock. Exp Fluids 55(1):1–14CrossRef

McFarland JA, Greenough JA, Ranjan D (2014b) Simulations and analysis of the reshocked inclined interface Richtmyer–Meshkov instability for linear and nonlinear interface perturbations. J Fluids Eng 136(7):071203 1–11. doi:10.1115/1.4026858

McFarland JA, Reilly D, Black W, Greenough JA, Ranjan D (2015) Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer–Meshkov instability. Phys. Rev. E 92:013023. doi:10.1103/PhysRevE.92.013023 MathSciNetCrossRef

Meshkov E (1969) Instability of the interface of two gases accelerated by a shock wave. Fluid Dyn 4(5):101–104. doi:10.1007/BF01015969 CrossRef

Olmstead D (2015) Oblique shock wave effects on impulsively accelerated heavy gas column. Ph.D. thesis, University of New Mexico

Orlicz G (2013) Incident shock Mach number effects on Richtmyer–Meshkov mixing with simultaneous density and velocity measurements. Ph.D. thesis, The University of New Mexico, Albuquerque

Orlicz GC, Balakumar BJ, Tomkins CD, Prestridge KP, A Mach number study of the Richtmyer–Meshkov instability in a varicose, heavy-gas curtain. Phys Fluids 21(6):064102 (2009). doi:10.1063/1.3147929. http://scitation.aip.org.libproxy.unm.edu/content/aip/journal/pof2/21/6/10.1063/1.3147929

Reilly D, McFarland J, Mohaghar M, Ranjan D (2015) The effects of initial conditions and circulation deposition on the inclined-interface reshocked Richtmyer–Meshkov instability. Exp Fluids 56(8):168CrossRef

Richtmyer RD (1954) Taylor instability in shock acceleration of compressible fluids. Technical Report. LA-1914, Scientific Laboratory of the University of California, Los Alamos, New Mexico

Rightley P, Vorobieff P, Martin R, Benjamin R (1999) Experimental observations of the mixing transition in a shock-accelerated gas curtain. Phys Fluids 11(1):186. http://libproxy.unm.edu/login?url=http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=4246703&site=eds-live&scope=site

Roetzel W (2005) Analytical calculation of trajectories using a power law for the drag coefficient variation with Mach number. WIT Trans Model Simul 40:303–312

Samtaney R, Zabusky NJ (1994) Circulation deposition on shock-accelerated planar and curved density-stratified interfaces: models and scaling laws. J Fluid Mech 269:45–78CrossRef

SAS Institute (1990) SAS/STAT user’s guide, version 6, 4th edn. SAS Institute

Shiroto T, Ohnishi N, Sunahara A, Fujioka S, Sasaki A (2016) High-density implosion via suppression of Rayleigh–Taylor instability. In: Journal of Physics: conference series, vol 717. IOP Publishing, Bristol, p 012051

Smalyuk V, Hansen J, Hurricane O, Langstaff G, Martinez D, Park H-S, Raman K, Remington B, Robey H, Schilling O et al (2012) Experimental observations of turbulent mixing due to Kelvin–Helmholtz instability on the OMEGA laser facility. Phys Plasmas (1994-present) 19(9):092702CrossRef

Takabe H, Mima K, Montierth L, Morse R (1985) Self-consistent growth rate of the Rayleigh–Taylor instability in an ablatively accelerating plasma. Phys Fluids (1958–1988) 28(12):3676–3682MathSciNetCrossRefMATH

Ting S, Tong L, Zhaigang Z, Xisheng L (2015) Experimental investigation of cylindrical converging shock waves interacting with a polygonal heavy gas cylinder. J Fluid Mech 784:225–251CrossRef

Tomkins C, Prestridge K, Rightley P, Vorobieff P, Benjamin R (2002) Flow morphologies of two shock-accelerated unstable gas cylinders. J Vis 5(3):273–283CrossRef

Tomkins C, Prestridge K, Rightley P, Marr-Lyon M, Vorobieff P, Benjamin R (2003) A quantitative study of the interaction of two Richtmyer–Meshkov-unstable gas cylinders. Phys Fluids 15(4):986–1004CrossRefMATH

Truman C, Anderson M, Vorobieff P, Wayne P, Corbin C, Bernard T, Kuehner G (2013) Spike and vortex formation in an impulsively-accelerated multiphase medium. In: Brebbia CA, Vorobieff P (eds) Computational methods in multiphase flow VII, vol 79. WIT Press, Southampton, pp 127–134CrossRef

Wang X, Yang D, Wu J, Luo X (2015) Interaction of a weak shock wave with a discontinuous heavy-gas cylinder. Phys Fluids 27:064104CrossRef

Weber CR, Haehn NS, Oakley JG, Rothamer DA, Bonazza R (2014) An experimental investigation of the turbulent mixing transition in the Richtmyer–Meshkov instability. J Fluid Mech 748:457–487CrossRef

Wu C, Roberts P (1999) Richtmyer–Meshkov instability and the dynamics of the magnetosphere. Geophys Res Lett 26(6):655–658CrossRef

Vorobieff P, Mohamed N-G, Tomkins C, Goodenough C, Marr-Lyon M, Benjamin RF (2003) Scaling evolution in shock-induced transition to turbulence. Phys Rev E 68(6):065301. doi:10.1103/PhysRevE.68.065301 CrossRef

Vorobieff P, Tomkins C, Kumar S, Goodenough C, Mohamed N-G, Benjamin RF (2004) Secondary instabilities in shock-induced transition to turbulence. In: Rahman M, Brebbia CA, Mendes AC (eds) Advances in fluid mechanics V, vol 40. WIT Press, Southampton, pp 139–148

Vorobieff P, Anderson M, Conroy J, White R, Truman CR, Kumar S (2012) Vortex deposition in shock-accelerated gas with particle/droplet seeding. In: Shock compression of condensed matter-2011: proceedings of the conference of the American Physical Society Topical Group on shock compression of condensed matter, vol 1426. AIP Publishing, pp 1651–1654

Wayne P, Olmstead D, Vorobieff P, Truman C, Kumar S (2015) Oblique shock interaction with a cylindrical density interface. In: Vorobieff P, Brebbia CA, Muñoz-Cobo JL (eds) Computational methods in multiphase flow VIII, vol 89. WIT Press, Southampton, pp 161–169CrossRef

Yang J, Kubota T, Zukoski EE (1993) Applications of shock-induced mixing to supersonic combustion. AIAA J 31(5):854–862CrossRef

Zhai Z, Wang M, Si T, Luo X (2014) On the interaction of a planar shock with a light polygonal interface. J Fluid Mech 757:800–816CrossRef

Zou L, Huang W, Liu C, Yu J, Luo X (2014) On the evolution of double shock-accelerated elliptic gas cylinders. J Fluids Eng 136(9):091205

Zou L, Liao S, Liu C, Wang Y, Zhai Z (2016) Aspect ratio effect on shock-accelerated elliptic gas cylinders. Phys Fluids 28:036101CrossRef

Title: Experimental study of shock-accelerated inclined heavy gas cylinder
Authors: Dell Olmstead
Patrick Wayne
Jae-Hwun Yoo
Sanjay Kumar
C. Randall Truman
Peter Vorobieff
Publication date: 01-06-2017
Publisher: Springer Berlin Heidelberg
Published in: Experiments in Fluids / Issue 6/2017
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI: https://doi.org/10.1007/s00348-017-2358-2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 6/2017

Comparison of in vitro flows past a mechanical heart valve in anatomical and axisymmetric aorta models

Impact pressure and void fraction due to plunging breaking wave impact on a 2D TLP structure

Extensional rheometry with a handheld mobile device

The turbulence structure of the wake of a thin flat plate at post-stall angles of attack

MacCormack’s technique-based pressure reconstruction approach for PIV data in compressible flows with shocks

Erratum to: Flow and acoustic characteristics of non-axisymmetric jets at subsonic conditions

Premium Partners