Shock induced turbulence in composite materials at moderate Reynolds numbers

Physics of Fluids

Volumn 10, Issue 8, 1998, Pages 2037-2054

  Kotelnikov, Alexei D ^a,b   Montgomery, David C ^a  

^a Dartmouth College ^*  (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); COMPRESSIBLE FLOW; COMPUTATIONAL FLUID DYNAMICS; DENSITY OF LIQUIDS; EQUATIONS OF STATE; REYNOLDS NUMBER; SHOCK WAVES; THERMAL CONDUCTIVITY OF LIQUIDS; TWO PHASE FLOW; VELOCITY; VISCOSITY OF LIQUIDS; VORTEX FLOW;

FLOW VELOCITY; SHOCK INDUCED TURBULENCE; VORTICITY;

TURBULENCE;

EID: 0032133527     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869719     Document Type: Article

References (23)

1. A. E. Beylich and A. Gulhan, "On the structure of nonlinear waves in liquids with gas bubbles," Phys. Fluids A 2, 1412 (1990).
2. M. Olim, M. E. H. van Dongen, T. Kitamura, and K. Takayama, "Numerical simulation of propagation of shock waves in compressible opencell foams," Int. J. Multiphase Flow 20, 557 (1994).
3. M. E. H. van Dongen, D. J. M. Smeulders, T. Kitamura, and K. Takayama, "On wave phenomena in permeable foam," Acustica 81, 63 (1995); see also: M. E. H. van Dongen, G. V. R. Smeets, H. W. M. Hoeijmakers, and D. J. M. Smeulders, "Shock-induced wave phenomena in open-cell permeable and flexible foams," in Proc. 20th Int. Symp. on Shock Waves, edited by B. Sturtevant and H. G. Hornung (World Scientific, Singapore, 1995).
4. M. E. H. van Dongen, D. J. M. Smeulders, T. Kitamura, and K. Takayama, "On wave phenomena in permeable foam," Acustica 81, 63 (1995); see also: M. E. H. van Dongen, G. V. R. Smeets, H. W. M. Hoeijmakers, and D. J. M. Smeulders, "Shock-induced wave phenomena in open-cell permeable and flexible foams," in Proc. 20th Int. Symp. on Shock Waves, edited by B. Sturtevant and H. G. Hornung (World Scientific, Singapore, 1995).
5. G. Rudinger, "Some properties of shock relaxation in gas flows carrying small particles," Phys. Fluids 7, 658 (1964).
6. G. Rudinger and A. Chang, "Analysis of non-steady two-phase flow," Phys. Fluids 7, 1747 (1964).
7. M. Watanabe and A. Prosperetti, "Shock waves in bubbly liquids," J. Fluid Mech. 274, 349 (1994).
8. L. Phillips, in Proc. Am. Phys. Soc. Topical Conference on "Shock compression of condensed matter" (American Physical Society, New York, 1995), p. 459 ff.
9. J. Yang, T. Kubota, and E. E. Zukoski, "Applications of shock-induced mixing to supersonic combustion," AIAA J. 31, 854 (1993).
10. J. F. Haas, "Experiments and simulations on shock waves in non-homogeneous gases," in Proc. 19th Int. Symposium on Shock Waves, Vol. IV, edited by R. Brun and L. Z. Dumitrescu (Springer-Verlag, New York, 1995), pp. 27-36.
11. J. J. Quirk and S. Karni, "On the dynamics of a shock-bubble interaction," J. Fluid Mech. 318, 129 (1996).
12. W. S. Don and C. B. Quillen, "Numerical simulation of shock-cylinder interactions: 1. Resolution," J. Comput. Phys. 122, 244 (1995).
13. R. Samtaney and N. J. Zabusky, "Circulation deposition on shock-accelerated planar and curved density-stratified interfaces: models and scaling laws," J. Fluid Mech. 269, 45 (1994).
14. P. Bhatnagar, E. Gross, and M. Krook, Phys. Rev. 94, 511 (1954).
15. A. Kotelnikov and D. Montgomery, "A kinetic method for computing inhomogeneous fluid behavior," J. Comput. Phys. 134, 364 (1997).
16. K. H. Prendergast and K. Xu, "Numerical hydrodynamics from gaskinetic theory," J. Comput. Phys. 109, 53 (1993).
17. K. Xu and K. H. Prendergast, "Numerical Navier-Stokes solutions from gas kinetic theory," J. Comput. Phys. 114, 17 (1994).
18. K. Xu, L. Martinelli, and A. Jameson, "Gas-kinetic finite volume methods, flux-vector splitting, and artificial diffusion," J. Comput. Phys. 120, 48 (1995).
19. A. D. Kotelnikov and D. C. Montgomery, in Proc. American Physical Society Topical Conference on "Shock Compression of Condensed Matter," Amherst, MA, July 27 - August 1 (1997), to be published.
20. S. M. Zeng and N. J. Zabusky, "Shock implosion morphologies and vorticity ring generation in shock-spherical axisymmetric bubble F/S interactions," J. Fluid Mech., accepted, 1997.
21. K. O. Mikaelian, "Freeze-out and the effect of compressibility in the Richtmyer-Meshkov instability" (see the Appendix), Phys. Fluids 6, 356 (1994).
22. D. L. Youngs, "Numerical simulation of mixing by Rayleigh-Taylor and Richtmyer-Meshkov instabilities," Laser Part. Beams 12, 725 (1994).
23. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-uniform Gases (Cambridge University Press, Cambridge, 1970).