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TECHNICAL PAPERS

A Computational Study of Bubble-Structure Interaction

[+] Author and Article Information
Philemon C. Chan, Kit K. Kan, James H. Stuhmiller

Jaycor, Inc., 3394 Carmel Mountain Road, San Diego, CA 92121-1002

J. Fluids Eng 122(4), 783-790 (Aug 10, 2000) (8 pages) doi:10.1115/1.1319157 History: Received November 11, 1998; Revised August 10, 2000
Copyright © 2000 by ASME
Topics: Bubbles , Pressure , Disks
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References

Lamb, H., 1945, Hydrodynamics, 6th Ed., Dover, New York, pp. 122–123.
Kan,  K. K., and Stuhmiller,  J. H., 1994, “The Phenomena of an Underwater Explosion Bubble Under a Circular Plate,” JAYCOR Final Report for NSWC.
Blake,  J. R., and Gibson,  D. C., 1987, “Cavitation Bubbles Near Boundaries,” Annu. Rev. Fluid Mech., 19, pp. 99–123.
Cole, R. H., Underwater Explosions, 1948, Princeton University Press.
Goertner,  J. F., 1956, “Vacuum Tank Studies of Gravity Migration of Underwater Explosion Bubbles,” NAVORD Report 3902, US Naval Ordnance Laboratory.
Snay,  H. G., Goertner,  J. F., and Price,  R. S., 1952, “Small Scale Experiments to Determine Migration of Explosion Gas Globes Towards Submarines,” NAVORD Report 2280, US Naval Ordinance Laboratory.
Chahine, G. L., 1989, “A Numerical Model for Three-Dimensional Bubble Dynamics in Complex Flow Configurations,” 22nd ATIC meeting, St. John’s, Newfoundland, Canada, Aug. 1989.
Chahine,  G. L., and Duraiswani,  R., 1994, “Boundary Element Method for Calculating 2D and 3D Underwater Explosion Bubble Behavior in Free Water and Near Structures,” NSWC Report NSWCDD/TR-93/44 [Limited Distribution].
Chan, P. C., and Chow, W. L., 1984, “The Study of Gravitational Nozzle Flows by Hodograph Transformations,” ASME J. Appl. Mech., 51 , No. 3.
Blake,  J. R., Taib,  B. B., and Doherty,  G., 1986, “Transient Cavities Near Boundaries, Part 1, Rigid Boundary,” J. Fluid Mech., 170, pp. 479–499.
Blake,  J. R., and Prosperetti,  A., 1989, “Dynamics of Underwater Explosion Bubbles,” Final Report to the Office of Naval Research, Grant. No. N00014-89-J-1791, May 1989.
Klein, H. H., Chan, P. C., and Chan, R. K.-C., 1989, “JAYCOR CFD Analysis of the Hydrogen Disposal System at the Vandenberg Space Shuttle Launch Site,” AIAA-89-0579, 27th Aerospace Sciences Meeting, Reno, Nevada, January 9–12, 1989.
Chan,  P. C., and Klein,  H. H., 1994, “A Study of Blast Effects Inside an Enclosure,” ASME J. Fluids Eng., 116, pp. 450–455.
Liles,  D. R., and Reed,  W. H., 1978, “A Semi-Implicit Method for Two-Phase Fluid Dynamics,” J. Comput. Phys., 26, No.3, pp. 390–407.
Peaceman,  D. W., and Rachford,  H. H., 1955, “The Numerical Solution of Parabolic and Elliptic Differential Equations,” J. SIAM.,3, pp. 28–41.
Anderson, D. A., Tannehill, J. C., and Pletcher, R. H., 1984, Computational Fluid Mechanics and Heat Transfer, Hemisphere Publishing, N.Y.
Hirt,  C. W., and Nichols,  B. D., 1981, “Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,” J. Comput. Phys., 39, pp. 201–225.
Snay,  H. G., and Christian,  E. A., 1952, “Underwater Explosion Phenomena: The Parameters of a Non-migrating Bubble Oscillating in an Incompressible Medium,” NAVORD Report 2437.
Goertner, J. F., Hendrickson, J. R., and Leamon, R. G., 1969, “Model Studies of the Behavior of Underwater Explosion Bubbles in Contact with a Rigid Bottom,” NOLTR 68-207, US Naval Ordinance Laboratory.
Goertner,  J. F., Thrun,  R., and Berry,  J. E., 1993, “Underwater Explosion Bubble Collapse Against a Flat Plate. 1987 NSWC Hydrotank Test Series Pressure Data Report,” NSWC Report NSWCDD/TR-93/98 (Limited Distribution).
Young, G. A., 1968, “The Transport of the Products of Very Deep Underwater Explosions,” NOLTR 67-179.

Figures

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Comparison of calculations for bottom explosion bubbles with data from Goertner et al. 19. Reference cited in figure is 21.
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Calculated bubble shapes near their minima for bottom explosion bubbles. (a) F−1=0.09; (b) F−1=0.63.
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Calculated flow field for jet-up test. (a) Jet touch down, t/T=1.05; (b) bubble fragmentation near minimum, t/T=1.17.
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Validation for jet-up test with resolution at Amax/53
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Grid sensitivity study for jet-up test
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Schematic diagram for calculations for bubble-disk interaction
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Jet formation comparison between jet-up and jet-down orientations for the disk at F−1=0.237. (a) Early jet formation (jet-up); (b) fully developed (jet-up); (c) early jet formation (jet-down); (d) fully developed (jet-down).
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Pressure loading comparison between jet-up and jet-down orientations for the disk at F−1=0.237. (a) Center loading on the disk; (b) off-center loading on the disk (r=Amax/15).
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Effect of bubble orientation and depth on pressure loading on the disk
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Effect of depth on bubble collapse above a sphere. (a) F−1=0.237; (b) F−1=0.172; (c) F−1=0.134; (d) F−1=0.107.
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Effect of structural shape and bubble depth on pressure loading for jet-down orientation

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