Abstract
The acceleration by an incident shock of a planar interface between a gas and a particle-gas mixture has been investigated experimentally and numerically. The experiments were conducted in a newly developed vertical shock tube in which the planar interface of the particle-gas mixture was generated and its particle concentration history was measured. Polydisperse corn starch particles with a mean diameter of 10μm were used. We recorded the motion of the interface, as well as of the incident and reflected shock by using a 4 channel spark shadowgraph. The experimental conditions were Mach numberM s=5.15 and initial pressurep 1=50kPa for various particle concentrations in nitrogen. The reflected shock appears with a delay after the incident shock enters the particle-gas mixture. Numerical methods were employed to solve the two-phase governing equations. Experiments and numerical solutions are in good agreement.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Carrier GF (1958) Shock waves in a dusty gas. J Fluid Mech 4:376–382
Geng JH, van de Ven A, Zhang F, Grönig H (1993) Time integration method to determine the characteristic parameter of a light extinctiometer. Exper in Fluids (in print)
Henderson CB (1976) Drag coefficient of spheres in continuum and rarefied flows. AIAA J 14:707–708
Marble FE (1970) Dynamics of dusty gases. Ann Rev Fluid Mech 2:397–446
Martsiano Y, Ben-Dor G, Igra O (1988) Oblique shock in dusty gas suspensions. Korean Soc Mech Eng J 2:28
Miura H, Glass II (1983) On the passage of a shock wave through a dustygas layer. Proc Roy Soc London A 385:85–105
Olim M, Igra O, Mond M, Ben-Dor G (1987) A general attenuation law of planar shock waves propagating into dusty gases. In: Grönig H (ed) Proc 16th Int Symp on Shock Waves and Shock Tubes. VCH Weinheim, Aachen, pp 217–225
Olim M, Igra O, Mond M, Ben-Dor G (1989) Numerical investigation of the flow behind a shock wave propagating into a carbon-oxygen suspension. In: Kim YW (ed) Proc 17th Int Symp on Shock Waves and Shock Tubes. American Institute of Physics, Bethlehem, pp 684–689
Rudinger G (1964) Some properties of shock relaxations in gas flows carrying small particles. Phys Fluids 7:658–663
Rudinger G (1980) Fundamentals of gas-particle flow. Elsevier Scientific Publishing Company, Amsterdam Oxford New York
Sommerfeld M (1984) Instationäre Stosswellen-Ausbreitung in Gas-Teilchen-Gemischen. Ph.D. Thesis, RWTH Aachen
Sommerfeld M, Grönig H (1983) Decay of shock waves in a dusty-gas shock tube with different configurations. In: Archer RD, Milton BE (eds) Proc 14th Int Symp on Shock Waves and Shock Tubes. Sydney Shock Tube Symposium Publishers, Sydney, pp 470–477
Soo SL (1967) Fluid dynamics of multiphase system. Blaisdell Publishing Co.
Zhang F, Grönig H (1989) Detonation structure of corn starch particlesoxygen mixtures. In: Kuhl AL et al. (eds) Dynamics of detonations and explosions: detonation. AIAA Progr Astronaut Aeronaut, AIAA Inc., Washington 133:342–355
Author information
Authors and Affiliations
Additional information
This article was processed using Springer-Verlag TEX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.
Rights and permissions
About this article
Cite this article
Geng, J.H., van de Ven, A., Yu, Q. et al. Interaction of a shock wave with a two-phase interface. Shock Waves 3, 193–199 (1994). https://doi.org/10.1007/BF01414713
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01414713