Modified shock velocity in heterogeneous wetted foams in the strong shock limit
Source: Phys. Plasmas 17, 012702 (2010); doi:10.1063/1.3278598
Published 8 January 2010
Shock propagation in wetted foams described by a regular square alignment of fibers of heavy medium immersed in a light medium is studied. A two-dimensional Eulerian adaptative mesh refinement code is used. The equation of state is assumed to be that of perfect gases. The variation of the presence ratio of fibers—the ratio of the dry-foam density to the solid density—leads to an increase in the shock velocity in comparison to the speed that the shock would have in a homogeneous medium with the same average density. This departure from the homogeneous case exhibits a maximum when the presence ratio is roughly 70%. Only three independent parameters seem to have an effect on the shock velocity: the presence ratio, the density ratio between both fluids, and the adiabatic exponent. The numerical results seem to be consistent with a thermodynamic description of turbulence.
©2010 American Institute of Physics
| History: | Received 25 August 2009; accepted 7 December 2009; published 8 January 2010 |
| Permalink: |
http://link.aip.org/link/?PHPAEN/17/012702/1 |
REFERENCES (17)
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- B. Canaud, F. Garaude, P. Ballereau, J. L. Bourgade, C. Clique, D. Dureau, M. Houry, S. Jaouen, H. Jourdren, N. Lecler, L. Masse, A. Masson, R. Quach, R. Piron, D. Riz, J. Van Der Vliet, M. Temporal, J. A. Delettrez, and P. W. McKenty,
Plasma Phys. Controlled Fusion 49, B601 (2007) . - B. Canaud, F. Garaude, C. Clique, N. Lecler, A. Masson, R. Quach, and J. Van der Vliet,
Nucl. Fusion 47, 1652 (2007) . - B. Canaud, X. Fortin, F. Garaude, C. Meyer, and F. Philippe,
Laser Part. Beams 22, 109 (2004) . - B. Canaud, X. Fortin, F. Garaude, C. Meyer, F. Philippe, M. Temporal, S. Atzeni, and A. Schiavi,
Nucl. Fusion 44, 1118 (2004) . - J. G. Wouchuk, C. Huete Ruiz de Lira, and A. L. Velikovich, Phys. Rev. E 79, 066315 (2009).
- R. Sacks and D. Darling,
Nucl. Fusion 27, 447 (1987) . - A. D. Kotelnikov and D. C. Montgomery, Phys. Fluids 10, 2037 (1998).
- G. Hazak, A. L. Velikovich, J. H. Gardner, and J. P. Dahlburg, Phys. Plasmas 5, 4357 (1998).
- F. Philippe, B. Canaud, X. Fortin, F. Garaude, and H. Jourdren,
Laser Part. Beams 22, 171 (2004) . - T. Collins, A. Poludnenko, A. Cunningham, and A. Frank, Phys. Plasmas 12, 062705 (2005).
- R. Piron, P. Ballereau, and B. Canaud,
Eur. J. Mech. B/Fluids 28, 613 (2009) . - A. Y. Poludnenko, A. Frank, and E. G. Blackman,
Astrophys. J. 576, 832 (2002) . - R. Samtaney and Z. J. Zabusky,
J. Fluid Mech. 269, 45 (1994) . - H. Jourdren, Lectures Notes in Computational Science and Engineering (Springer, Berlin, 2005), Vol. 41.
- L. Kovasznay, J. Aeronautical Sciences 20, 657 (1953).
- R. Saurel, A. Chinnayya, and F. Renaud,
Shock Waves 13, 283 (2003) . - S. L. Gavrilyuk and R. Saurel,
J. Fluid Mech. 575, 495 (2007) .
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