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Stability Of Converging Cylindrical Shock Waves

M. Watanabe, K. Takayama
Published 1991 · Physics

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An experimental and numerical study was made of converging cylindrical shock waves. The goal of the present study was to clarify the movement and instability of the converging cylindrical shock waves. Experiments were conducted in an annular shock tube of 230 mm o.d. and 210 mm i.d. connected to a cylindrical test section of 210 mm diameter. Double exposure holographic interferometry was used to visualize the converging cylindrical shock waves. Incident shock Mach numbers ranged between 1.1 and 2.0 in air. A numerical simulation was conducted using the TVD finite difference scheme. It was found in the experiments that although the initial shock wave configuration looked cylindrical, it was gradually deformed with propagation towards the center and finally showed mode-four instability. This is attributable to the existence of initial disturbances which were introduced by the struts which supported the inner tube of the annular shock tube. This trend was significant for stronger shock waves indicating that at the last stage of shock wave convergence the initial perturbations of the converging cylindrical shock wave were amplified to form the triple point of Mach reflection. The numerical results correctly predicted the experimental trend.



This paper is referenced by
10.1007/978-3-319-91020-8_106
Singularity Formation in the Geometry of Perturbed Shocks of General Mach Number
Werner Mostert (2017)
10.1007/S00193-006-0035-0
Focusing of Strong Shocks in an Annular Shock Tube
V. Eliasson (2006)
10.1063/1.3392769
Thermal radiation from a converging shock implosion
Malte T. Kjellander (2010)
10.1063/1.4772073
Energy concentration by spherical converging shocks generated in a shock tube
Malte T. Kjellander (2012)
10.1007/S00193-012-0411-X
Numerical studies of shock focusing induced by reflection of detonation waves within a hemispherical implosion chamber
Kazuaki Hatanaka (2012)
10.1016/J.ENCONMAN.2015.02.057
Analysis of pressure waves in the cone-type combustion chamber under SI engine knock
Anren Yao (2015)
10.1063/1.4998959
Machine learning to analyze images of shocked materials for precise and accurate measurements
Leora Dresselhaus-Cooper (2017)
10.1007/S00193-017-0708-X
Reflection of a converging cylindrical shock wave segment by a straight wedge
Brendan J. Gray (2017)
10.1007/S00193-014-0541-4
Experimental production of two-dimensional shock waves of arbitrary profile
B. W. Skews (2015)
10.1007/S00193-007-0091-0
Regular versus Mach reflection for converging polygonal shocks
V. Eliasson (2007)
10.1007/S00193-013-0470-7
Numerical investigations of the porosity effect on the shock focusing process
Karthik Balasubramanian (2013)
10.1063/1.1964916
Experimental study of Richtmyer-Meshkov instability induced by cylindrical shock waves
S. R. Hosseini (2005)
10.1017/JFM.2018.263
Singularity formation on perturbed planar shock waves
Wouter Mostert (2018)
10.1103/PHYSREVFLUIDS.3.071401
Spontaneous singularity formation in converging cylindrical shock waves
Wouter Mostert (2018)
10.1017/cbo9781316161692
Singularities: Formation, Structure, and Propagation
J. Eggers (2015)
10.1007/S00193-007-0087-9
Controlling the form of strong converging shocks by means of disturbances
V. Eliasson (2007)
10.1063/1.2796214
Light emission during shock wave focusing in air and argon
V. Eliasson (2007)
10.1007/S00193-013-0442-Y
High energy concentration by symmetric shock focusing
Nicholas Apazidis (2013)
10.1007/978-3-319-16835-7_19
High Energy Concentration by Spherical Converging Shocks in a Shock Tube with Conically Shaped Test Section
Nicholas Apazidis (2013)
10.2514/6.2000-2464
Richtmyer-Meshkov instability induced by cylindrical shock wave loading of cylindrical gaseous inhomogeneities
S. R. Hosseini (2000)
10.1007/978-3-642-32489-5_2
The Shock Wave and Beyond, A Tribute to Professor Glass
Kazuyoshi Takayama (2013)
10.1002/FLD.3862
Equivalence conditions between linear Lagrangian finite element and node-centred finite volume schemes for conservation laws in cylindrical coordinates
Dante De Santis (2014)
10.1007/BF03181452
Holographic interferometric visualization of the Richtmyer-Meshkov instability induced by cylindrical shock waves
S. R. Hosseini (1999)
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