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Shock Wave Propagation Into a Dust-Gas Suspension Inside a Double-Bend Conduit

[+] Author and Article Information
O. Igra, X. Wu, G. Q. Hu

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

J. Falcovitz

Institute of Mathematics, The Hebrew University, Jerusalem, Israel

J. Fluids Eng 124(2), 483-491 (May 28, 2002) (9 pages) doi:10.1115/1.1466457 History: Received January 18, 2001; Revised December 11, 2001; Online May 28, 2002
Copyright © 2002 by ASME
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References

Igra,  O., Wu,  X., Falcovitz,  J., Meguro,  T., Takayama,  K., and Heilig,  W., 2001, “Experimental and Theoretical Study of Shock Wave Propagation Through Ducts With Abrupt Changes in the Flow Direction,” J. Fluid Mech., 437, pp. 255–282.
Falcovitz, J., and Igra, O., 2000, “Shock Wave Structure in Dusty Gas Suspension,” The 14th Mach Reflection Symposium, Sendai, Japan.
Igra,  O., and Ben-Dor,  G., 1988, “Dusty Shock Waves,” Appl. Mech. Rev., 41, pp. 379–437.
Rudinger,  G., and Chang,  A., 1964, “Analysis of Nonsteady Two-Phase Flow,” Phys. Fluids, 7, pp. 658–663.
Miura,  H., and Glass,  I. I., 1983, “On the Passage of a Shock Wave Through a Dusty-Gas Layer,” Proc. R. Soc. London, Ser. A, A385, pp. 85–105.
Igra,  O., Elperin,  T., and Ben-Dor,  G., 1987, “Blast Waves in Dusty Gases,” Proc. R. Soc. London, Ser. A, A414, pp. 197–219.
Aizik,  F., Ben-Dor,  G., Elperin,  T., Igra,  O., and Mond,  M., 1995, “Attenuation Law of Planar Shock Waves Propagating Through Dust-Gas Suspensions,” AIAA J., 33, pp. 953–955.
Ben-Artzi,  M., and Falcovitz,  J., 1984, “A Second-Order Godunov-Type Scheme for Compressible Fluid Dynamics,” J. Comput. Phys., 55, pp. 1–32.
Ben-Artzi,  M., and Falcovitz,  J., 1986, “An Upwind Second-Order Scheme for Compressible Duct Flows,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 7, pp. 744–768.
Falcovitz,  J., and Ben-Artzi,  M., 1995, “Recent Developments of the GRP Method,” JSME Int. J., Ser. B, B38, pp. 497–517.
MacCormack, R. W., 1969, “The Effect of Viscosity on Hypervelocity Impact Cratering,” AIAA Paper 69-354.
Igra,  O, Falcovitz,  J., Reichenbach,  H., and Heilig,  W., 1996, “Experimental and Numerical Study of the Interaction Process Between a Planar Shock Wave and a Square Cavity,” J. Fluid Mech., 313, pp. 105–130.
Strang,  G., 1968, “On the Construction and Comparison of Difference Schemes,” SIAM Journal on Numerical Analysis, 5, pp. 506–517.
Sommerfeld,  M., 1985, “The Unsteadiness of Shock Waves Propagating Through Gas-Particle Mixtures,” Exp. Fluids, 3, pp. 197–206.

Figures

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Schematic description of the investigated conduit. All dimensions are in mm. Ms=1.347, P1, P2, P3 and P4 indicate positions where pressure histories are computed.
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(a) Shadowgraph/schlieren results in pure air. Initial flow conditions are: P0=0.97 bar,T0=296.5 K and Ms=1.347. (b) Simulations of the flow shown in Fig. 2(a).
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Flow simulation for dusty gas, d=5 μm, η=2. Initial conditions as in Fig. 2.
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(a) Flow simulation for dusty gas, d=20 μm, η=2. Initial conditions as in Fig. 2. (b) Flow simulation as in Fig. 4(a) but with double number of grid points; (c) flow simulation as in Fig. 4(a) but using elastic rebound conditions for the solid particles.
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Flow simulation for dusty gas, d=50 μm, η=2. Initial conditions as in Fig. 2.
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Pressure variations along the duct upper wall. Initial conditions as in Fig. 2. In the suspension d=5 μm and η=2.
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(a) Isopycnics in the gaseous phase. (b) Pressure and gas density variations along a line connecting the two expansive corners at t=525 μs, d=5 μm, η=2. (c) Isopycnics in the solid phase. (d) Spatial dust density variations along a line connecting the two expansive corners at t=525 μs, d=5 μm, η=2. Initial conditions as in Fig. 2.
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Flow simulation for dusty gas, η=0.5, d=10 μm. Initial conditions as in Fig. 2.
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Flow simulation for dusty gas, η=2, d=10 μm. Initial conditions as in Fig. 2.
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Flow simulation for dusty gas η=5, d=10 μm. Initial conditions as in Fig. 2.
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Effects of changes in the dust loading on obtained pressure histories at ports P1 to P4. d=10 μm. Initial conditions as in Fig. 2.
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(a) Effects of changes in the particle diameter on obtained pressure histories at ports P1 to P4. η=2. Initial condition as in Fig. 2(a). (b) Effects of changes in the grid resolution on the obtained pressure histories for η=2 and d=20 μm. Initial conditions as is in Fig. 2.

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