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TECHNICAL PAPERS

Shock Wave Reflections in Dust-Gas Suspensions

[+] Author and Article Information
G. Ben-Dor, O. Igra, L. Wang

Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel 84105

J. Fluids Eng 123(1), 145-153 (Sep 06, 2000) (9 pages) doi:10.1115/1.1331558 History: Received November 05, 1999; Revised September 06, 2000
Copyright © 2001 by ASME
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References

Ben-Dor, G., 1991, Shock Wave Reflection Phenomena, Springer-Verlag, New York, N.Y.
Igra,  O., and Ben-Dor,  G., 1988, “Dusty Shock Waves,” Appl. Mech. Rev., 41, No. 11, pp. 379–437.
Ben-Dor,  G., 1996, “Dusty Shock Waves-Update,” Appl. Mech. Rev., 49, No. 10/2, pp. S141–S146.
Kim,  S.-W., and Chang,  K.-S., 1991, “Reflection of Shock Wave from a Compression Corner in a Particle-Laden Gas Region,” Shock Waves, 1, No. 1, pp. 65–73.
Clift, R., Grace, J. R., and Weber, M. E., 1978, Bubbles, Drops and Particles, Academic Press, NY.
Igra,  O., and Ben-Dor,  G., 1980, “Parameters Affecting the Relaxation Zone Behind Normal Shock Waves in a Dusty Gas,” Isr. J. Technol., 18, No. 3/4, pp. 159–168.
Kurian, J., and Das, H. K., 1997, “Studies of Shock Wave Propagation in Gas-Particle Mixtures,” Shock Waves, A. P. F. Houwing et al., eds., Panther Publishing & Printing, 11 , pp. 953–958.
Olim,  M., Ben-Dor,  G., Mond,  M., and Igra,  O., 1990, “A General Attenuation Law of Moderate Planar Shock Waves Propagating into Dusty Gases with Relatively High Loading Ratios of Solid Particles,” Fluid Dyn. Res., 6, No. 3–4, pp. 185–200.
Mazor,  G., Ben-Dor,  G., and Igra,  O., 1986, “A Simple and Accurate Expression for the Viscosity of Non-polar Diatomic Gases up to 10000 K,” AIAA J., 23, No. 4, pp. 636–638.
MacCormac, R. W., 1969, “The Effect of Viscosity in Hyperbolic Impact Cratering,” AIAA Paper 69-354.
Falcovitz,  J., and Ben-Artzi,  M., 1995, “Recent Developments of the GRP Method,” JSME Int. J., B , No. 38, pp. 497–517.
Wang, B. Y., Wu, Q. S., Wang, C., Igra, O., and Falcovitz, J., 1999, “Shock Wave Diffraction by a Square Cavity Filled with Dusty Gas,” 22nd International Symposium on Shock Waves, London, UK.
Sommerfeld,  M., 1995, “The Unsteadiness of Shock Waves Propagating Through Gas-Particles Mixtures,” Exp. Fluids, 3, p. 197.
Igra,  O., Falcovitz,  J., Reichenbach,  H., and Heilig,  W., 1996, “Experimental and Numerical Study of the Interaction Between a Planar Shock Wave and a Square Cavity,” J. Fluid Mech., 313, p. 105.
Li,  H., and Ben-Dor,  G., 1999, “Analysis of Double-Mach-Reflection Wave Configurations with Convexly Curved Mach Stems,” Shock Waves, 9, No. 5, pp. 319–326.

Figures

Grahic Jump Location
Schematic illustration of the flow field to be solved and definition of some parameters. The interface separates the dust-free and the dusty-gas.
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The flow fields (A-constant flow Mach number contours, B-constant gaseous phase density contours, and C-constant dust phase spatial density contours) and the wave configurations of a regular reflection (RR) for different diameters of the dust particles: (a) dp=1 μm, (b) dp=5 μm, (c) dp=10 μm, and (d) dust-free
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The flow fields (A-constant flow Mach number contours, B-constant gaseous phase density contours, and C-constant dust phase spatial density contours) and the wave configurations of a single-Mach reflection (SMR) for different diameters of the dust particles: (a) dp=1 μm, (b) dp=5 μm, (c) dp=10 μm, and (d) dust-free
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The flow fields (A-constant flow Mach number contours, B-constant gaseous phase density contours, and C-constant dust phase spatial density contours) and the wave configurations of a transitional-Mach reflection (TMR) for different diameters of the dust particles: (a) dp=1 μm, (b) dp=5 μm, (c) dp=10 μm, and (d) dust-free
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The flow fields (A-constant flow Mach number contours, B-constant gaseous phase density contours, and C-constant dust phase spatial density contours) and the wave configurations of a double-Mach reflection (DMR) for different diameters of the dust particles: (a) dp=0.5 μm, (b) dp=1.0 μm, (c) dp=1.5 μm, and (d) dust-free
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The distributions of various suspension properties along the reflecting wedge surface in the case of a regular reflection (RR) for a dust-free case and three suspensions having dust particles with dp=1 μm,dp=5 μm,dp=10 μm
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The distributions of various suspension properties along the reflecting wedge surface in the case of a single-Mach reflection (SMR) for a dust-free case and three suspensions having dust particles with dp=1 μm,dp=5 μm,dp=10 μm
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The distributions of various suspension properties along the reflecting wedge surface in the case of a transitional-Mach reflection (TMR) for a dust-free case and three suspensions having dust particles with dp=1 μm,dp=5 μm,dp=10 μm
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The distributions of various suspension properties along the reflecting wedge surface in the case of a double-Mach reflection (DMR) for a dust-free case and a suspension having dust particles with dp=1 μm
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The gaseous phase density contours and the wave configurations of a single-Mach reflection (SMR) with six different loading ratios (Mi=1.5,θw=38°,dp=1 μm)
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The gaseous phase density contours and the wave configurations of a double-Mach reflection (DMR) with seven different loading ratios (Mi=3,θw=42°,dp=1 μm)
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Blow-ups of the constant density contours (part B in Fig. 5) illustrating the interaction between the wall jet and the foot of the Mach stem in the case of a double-Mach reflection (DMR)
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Dependence of the RR↔MR transition wedge angle on the dust-loading ratio for Mi=1/5 and dp=1 μm

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