Abstract
The propagation of shock waves in non-homogeneous gases is illustrated with a series of model shock tube experiments in which weak shock waves interact with oblique, cylindrical and spherical density interfaces. Shock refraction, diffraction and focusing are observed as well as interface deformation and vortex development due to the baroclinic effect. Recent numerical and experimental work in this domain is reviewed. The scattering of weak shocks by a random array of spherical inhomogeneities (2 mm diameter helium-filled soap bubbles) is also explored experimentally, and interpreted using a theory of turbulent shock thickening, developped for sonic boom scattering. Two-dimensional simulations of shocks propagating in a regular array of helium cylinders are presented in order to illustrate the wave process.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Benjamin RF, Besnard D, Haas JF (1992) Richtmyer-Meshkov instability of shocked gaseous interfaces. In: Takayama K (ed) Shock Waves, Proc. 18th ISSW, Sendai, Springer, pp 325–330
Budzinski JM (1992) Planar Rayleigh scattering of shock enhanced mixing. Ph.D. thesis, California Institute of Technology
Haas JF (1983) Interaction of weak shock waves and discrete gas inhomogeneities. Ph.D. thesis, California Institute of Technology
Haas JF, Sturtevant B (1987) Interaction of weak shock waves with cylindrical and spherical inhomogeneities. J. Fluid Mech. 181: 41–76
Hesselink L, Sturtevant B (1988) Propagation of weak shocks through a random medium. J. Fluid Mech. 196: 513–553
Houas L, Fahrat A, Brun R (1988) Shock induced Rayleigh-Taylor instability in the presence of a boundary layer. Phys. Fluids 31: 4
Jacobs JW (1992) Shock induced mixing of a light-gas cylinder. J. Fluid Mech. 234: 629–649
Jacobs JW (1993) The dynamics of shock accelerated light and heavy gas cylinder. Phys. Fluids A 5, 9: 2239–2247
Philpott M, Smith AV, Cowperthwaite NW, Youngs DL (1993) Late-time turbulent mixing of a high density gas bubble in a shocked air flow (M s = 1.4). In: Linden P (ed) Proc. 4th Intl. Workshop on the Physics of Compressible Turbulent Mixing, Cambridge England, pp 366–371
Picone JM, Boris JP (1988) Vorticity generation by shock propagation through bubbles in a gas. J. Fluid Mech. 189: 23–51
Plotkin, KJ, George, AR (1972) Propagation of weak shock waves through turbulence. J. Fluid Mech. 54, 3: 449–467
Plotkin KJ (1989) Review of sonic boom theory. AIAA 12th Aeroacoustics Conference, April 10–12, San Antonio, TX, AIAA Paper 89–1105
Rupert V (1992) Shock interface interaction: Current research on the Richtmyer-Meshkov problem. In: Takayama K (ed) Shock Waves, Proc. 18th ISSW, Sendai, Springer, pp 83–94
Sturtevant B (1988) Rayleigh-Taylor instability in compressible fluids. In: Grönig H (ed) Shock Tubes and Waves, Proc. 16th Intl. Symp. on Shock Tubes and Waves, Aachen, VCH Verlagsgesellschaft, Weinheim, FRG, pp 89–100
Samtaney R, Zabusky NJ (1994) Circulation deposition on shock-accelerated planar and curved density-stratified interfaces: Models and scaling laws. J. Fluid Mech. 269: 45–78
Yang J, Kubota T, Zukoski E (1993) Applications of shock-induced mixing to supersonic combustion AIAA J. 31, 5: 854–862
Yang X, Chern IL, Zabusky NJ, Samtaney R, Hawley J (1992) Vorticity generation and evolution in shock-accelerated density-stratifiled interfaces. Phys. Fluids A 4,7: 1531–1540
Zabuski NJ, Samtaney R, Yang X, Chern IL (1992) Vorticity in shock-accelerated density stratified interfaces: Deposition and “intermediate” time evolution of coherent structures. In: Takayama K (ed) Shock Waves, Proc. 18th ISSW, Sendai, Springer, pp 19–28
Zaytsev S, Aleshin A, Lazareva E, Rozanov V, Lebo I (1993) Richtmyer-Meshkov instability for two-and three-dimensional interfaces. In: Linden P (ed) Proc. 4th Intl. Workshop on the Physics of Compressible Turbulent Mixing, Cambridge England, 29 March 1 April, pp 291–296
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Haas, JF. (1995). Experiments and Simulations on Shock Waves in Non-Homogeneous Gases. In: Brun, R., Dumitrescu, L.Z. (eds) Shock Waves @ Marseille IV. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79532-9_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-79532-9_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-79534-3
Online ISBN: 978-3-642-79532-9
eBook Packages: Springer Book Archive