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Volumn 8, Issue 2, 1996, Pages 522-535

Simple model for the turbulent mixinq width at an ablating surface

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION MODELS; MIXING(LIQUID/LIQUID; TURBULENT;

EID: 0029672295     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868805     Document Type: Article
Times cited : (29)

References (47)
  • 1
    • 33748322198 scopus 로고
    • Laser compression of matter to super-high densities: Thermonuclear (CTR) applications
    • J. Nuckolls, L. Wood, A. Thiessen, and G. Zimmerman, "Laser compression of matter to super-high densities: Thermonuclear (CTR) applications," Nature 239, 139 (1972).
    • (1972) Nature , vol.239 , pp. 139
    • Nuckolls, J.1    Wood, L.2    Thiessen, A.3    Zimmerman, G.4
  • 2
    • 0004022482 scopus 로고
    • Dover, New York
    • Lord Rayleigh, Scientific Papers (Dover, New York, 1965), Vol. 2; G. I. Taylor, "The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I," Proc. R. Soc. London Ser. A 201, 192 (1950).
    • (1965) Scientific Papers , vol.2
    • Rayleigh, L.1
  • 3
    • 0002418219 scopus 로고
    • The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
    • Lord Rayleigh, Scientific Papers (Dover, New York, 1965), Vol. 2; G. I. Taylor, "The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I," Proc. R. Soc. London Ser. A 201, 192 (1950).
    • (1950) Proc. R. Soc. London Ser. A , vol.201 , pp. 192
    • Taylor, G.I.1
  • 6
    • 5844275035 scopus 로고    scopus 로고
    • private communication
    • B. A. Remington (private communication).
    • Remington, B.A.1
  • 7
    • 0020778068 scopus 로고
    • An overview of Rayleigh-Taylor instability
    • Reviews can be found in D. H. Sharp, "An overview of Rayleigh-Taylor instability," Physica D 12, 3 (1984); H. J. Kull, "Theory of the Rayleigh-Taylor instability," Phys. Rep. 206, 197 (1991).
    • (1984) Physica D , vol.12 , pp. 3
    • Sharp, D.H.1
  • 8
    • 13844310168 scopus 로고
    • Theory of the Rayleigh-Taylor instability
    • Reviews can be found in D. H. Sharp, "An overview of Rayleigh-Taylor instability," Physica D 12, 3 (1984); H. J. Kull, "Theory of the Rayleigh-Taylor instability," Phys. Rep. 206, 197 (1991).
    • (1991) Phys. Rep. , vol.206 , pp. 197
    • Kull, H.J.1
  • 9
    • 11744366430 scopus 로고
    • Scale invariant mixing rates of hydrodynamically unstable interfaces
    • U. Alon, J. Hecht, D. Mukamel, and D. Shvarts, "Scale invariant mixing rates of hydrodynamically unstable interfaces," Phys. Rev. Lett. 72, 2867 (1994); J. Hecht, U. Alon, and D. Shvarts, "Potential flow models of Rayleigh-Taylor and Richtmyer-Meshkov bubble fronts," Phys. Fluids 6, 4019 (1994).
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 2867
    • Alon, U.1    Hecht, J.2    Mukamel, D.3    Shvarts, D.4
  • 10
    • 5844337342 scopus 로고
    • Potential flow models of Rayleigh-Taylor and Richtmyer-Meshkov bubble fronts
    • U. Alon, J. Hecht, D. Mukamel, and D. Shvarts, "Scale invariant mixing rates of hydrodynamically unstable interfaces," Phys. Rev. Lett. 72, 2867 (1994); J. Hecht, U. Alon, and D. Shvarts, "Potential flow models of Rayleigh-Taylor and Richtmyer-Meshkov bubble fronts," Phys. Fluids 6, 4019 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 4019
    • Hecht, J.1    Alon, U.2    Shvarts, D.3
  • 11
    • 0020779216 scopus 로고
    • Experimental investigation of turbulent mixing by Rayleigh-Taylor instability
    • K. I. Read, "Experimental investigation of turbulent mixing by Rayleigh-Taylor instability," Physica D 12, 45 (1984); K. D. Burrows, V. S. Smeeton, and D. L. Youngs, "Experimental investigation of turbulent mixing by Rayleigh-Taylor instability, II," Atomic Weapons Research Establishment Report No. AWRE O 22/84, 1984.
    • (1984) Physica D , vol.12 , pp. 45
    • Read, K.I.1
  • 12
    • 0020779216 scopus 로고
    • Experimental investigation of turbulent mixing by Rayleigh-Taylor instability, II
    • K. I. Read, "Experimental investigation of turbulent mixing by Rayleigh-Taylor instability," Physica D 12, 45 (1984); K. D. Burrows, V. S. Smeeton, and D. L. Youngs, "Experimental investigation of turbulent mixing by Rayleigh-Taylor instability, II," Atomic Weapons Research Establishment Report No. AWRE O 22/84, 1984.
    • (1984) Atomic Weapons Research Establishment Report No. AWRE O 22/84
    • Burrows, K.D.1    Smeeton, V.S.2    Youngs, D.L.3
  • 13
    • 5844259282 scopus 로고
    • Perturbations and coherent flow in Rayleigh-Taylor instability
    • Cambridge, England
    • Experimental results are reported by S. B. Dalziel, "Perturbations and coherent flow in Rayleigh-Taylor instability," Proceedings of the 4th International Workshop on the Physics of Compressible Turbulent Mixing, Cambridge, England, 1993, p. 32; Simulations are reported by D. L. Youngs, "Direct three-dimensional numerical simulation of mixing by Rayleigh-Taylor instability," ibid, p. 167.
    • (1993) Proceedings of the 4th International Workshop on the Physics of Compressible Turbulent Mixing , pp. 32
    • Dalziel, S.B.1
  • 14
    • 77952853242 scopus 로고    scopus 로고
    • Direct three-dimensional numerical simulation of mixing by Rayleigh-Taylor instability
    • Experimental results are reported by S. B. Dalziel, "Perturbations and coherent flow in Rayleigh-Taylor instability," Proceedings of the 4th International Workshop on the Physics of Compressible Turbulent Mixing, Cambridge, England, 1993, p. 32; Simulations are reported by D. L. Youngs, "Direct three-dimensional numerical simulation of mixing by Rayleigh-Taylor instability," ibid, p. 167.
    • Proceedings of the 4th International Workshop on the Physics of Compressible Turbulent Mixing , pp. 167
    • Youngs, D.L.1
  • 19
    • 0040873521 scopus 로고
    • Turbulent energy at accelerating and shocked interfaces
    • K. O. Mikaelian, "Turbulent energy at accelerating and shocked interfaces," Phys. Fluids A 2, 592 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 592
    • Mikaelian, K.O.1
  • 20
    • 0037993290 scopus 로고
    • Reduction of turbulent mixing at the ablation front of fusion targets
    • H. Takabe and A. Yamamoto, "Reduction of turbulent mixing at the ablation front of fusion targets," Phys. Rev. A 44, 5142 (1991).
    • (1991) Phys. Rev. A , vol.44 , pp. 5142
    • Takabe, H.1    Yamamoto, A.2
  • 21
    • 5244349294 scopus 로고
    • Non-linear Rayleigh-Taylor instability in (spherical) laser accelerated targets
    • M. J. De C. Henshaw, G. J. Pert, and D. L. Youngs, "Non-linear Rayleigh-Taylor instability in (spherical) laser accelerated targets," Plasma Phys. Controlled Fusion 29, 405 (1987).
    • (1987) Plasma Phys. Controlled Fusion , vol.29 , pp. 405
    • De Henshaw, M.J.C.1    Pert, G.J.2    Youngs, D.L.3
  • 22
    • 5844300514 scopus 로고
    • Turbulent pusher behavior
    • R. L. McCrory and R. L. Morse, "Turbulent pusher behavior," Phys. Fluids 19, 175 (1976).
    • (1976) Phys. Fluids , vol.19 , pp. 175
    • McCrory, R.L.1    Morse, R.L.2
  • 23
    • 36549091473 scopus 로고
    • A k-∈ model for turbulent mixing in shock-tube flows induced by Rayleigh-Taylor instability
    • S. Gauthier and M. Bonnet, "A k-∈ model for turbulent mixing in shock-tube flows induced by Rayleigh-Taylor instability," Phys. Fluids A 2, 1685 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 1685
    • Gauthier, S.1    Bonnet, M.2
  • 24
    • 0024717915 scopus 로고
    • Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities
    • K. O. Mikaelian, "Turbulent mixing generated by Rayleigh-Taylor and Richtmyer-Meshkov instabilities," Physica D 36, 343 (1989).
    • (1989) Physica D , vol.36 , pp. 343
    • Mikaelian, K.O.1
  • 25
    • 0001385716 scopus 로고
    • Effects of surface tension and viscosity on Taylor instability
    • R. Bellman and R. H. Pennington, "Effects of surface tension and viscosity on Taylor instability," Q. Appl. Math. 12, 151 (1954).
    • (1954) Q. Appl. Math. , vol.12 , pp. 151
    • Bellman, R.1    Pennington, R.H.2
  • 26
    • 0002223423 scopus 로고
    • Effect of viscosity on Rayleigh-Taylor and Richtmyer-Meshkov instabilities
    • Equation (15) was given first in Ref. 20. For a derivation and historical remarks, see K. O. Mikaelian, "Effect of viscosity on Rayleigh-Taylor and Richtmyer-Meshkov instabilities," Phys. Rev. E 47, 375 (1993). The growth rate for the combined case, surface tension, and viscosity, Eq. (19), is also given in this reference.
    • (1993) Phys. Rev. E , vol.47 , pp. 375
    • Mikaelian, K.O.1
  • 28
    • 0000305764 scopus 로고
    • Explicit growth rates for the Rayleigh-Taylor instability in exponential density profiles
    • K. O. Mikaelian, "Explicit growth rates for the Rayleigh-Taylor instability in exponential density profiles," Phys. Rev. A 40, 4801 (1989).
    • (1989) Phys. Rev. A , vol.40 , pp. 4801
    • Mikaelian, K.O.1
  • 29
    • 0001394611 scopus 로고
    • Effects of diffusion on interface instability between gases
    • R. E. Duff, F. H. Harlow, and C. W. Hirt, "Effects of diffusion on interface instability between gases," Phys. Fluids 5, 417 (1962).
    • (1962) Phys. Fluids , vol.5 , pp. 417
    • Duff, R.E.1    Harlow, F.H.2    Hirt, C.W.3
  • 30
    • 0027790834 scopus 로고
    • Experiments on the evolution of gravitational instability of an overturned, initially stably stratified fluid
    • S. I. Voropayev, Y. D. Afanasyev, and G. J. F. van Heijst, "Experiments on the evolution of gravitational instability of an overturned, initially stably stratified fluid," Phys. Fluids. A 5, 2461 (1993).
    • (1993) Phys. Fluids. A , vol.5 , pp. 2461
    • Voropayev, S.I.1    Afanasyev, Y.D.2    Van Heijst, G.J.F.3
  • 31
    • 5344250429 scopus 로고
    • Rayleigh-Taylor instabilities in stratified fluids
    • K. O. Mikaelian, "Rayleigh-Taylor instabilities in stratified fluids," Phys. Rev. A 26, 2140 (1982).
    • (1982) Phys. Rev. A , vol.26 , pp. 2140
    • Mikaelian, K.O.1
  • 32
    • 0013511436 scopus 로고
    • Simple model for ablative stabilization
    • K. O. Mikaelian, "Simple model for ablative stabilization," Phys. Rev. A 46, 6621 (1992).
    • (1992) Phys. Rev. A , vol.46 , pp. 6621
    • Mikaelian, K.O.1
  • 33
    • 3342917580 scopus 로고
    • Rayleigh-Taylor instability and laser-pellet fusion
    • S. E. Bodner, "Rayleigh-Taylor instability and laser-pellet fusion," Phys. Rev. Lett. 33, 761 (1974).
    • (1974) Phys. Rev. Lett. , vol.33 , pp. 761
    • Bodner, S.E.1
  • 34
    • 36549096453 scopus 로고
    • Self-consistent growth rate of the Rayleigh-Taylor instability in an ablatively accelerating plasma
    • H. Takabe, K. Mima, L. Montierth, and R. L. Morse, "Self-consistent growth rate of the Rayleigh-Taylor instability in an ablatively accelerating plasma," Phys. Fluids 28, 3676 (1985).
    • (1985) Phys. Fluids , vol.28 , pp. 3676
    • Takabe, H.1    Mima, K.2    Montierth, L.3    Morse, R.L.4
  • 35
    • 0011044897 scopus 로고
    • Strongly inhibited Rayleigh-Taylor growth with 0.25-μm lasers
    • M. H. Emery, J. H. Gardner, and S. E. Bodner, "Strongly inhibited Rayleigh-Taylor growth with 0.25-μm lasers," Phys. Rev. Lett. 57, 703 (1986).
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 703
    • Emery, M.H.1    Gardner, J.H.2    Bodner, S.E.3
  • 36
    • 0000692272 scopus 로고
    • Turbulent free shear layer mixing and combustion
    • edited by S. N. B. Murphy and E. T. Curran, Progress in Astronautics and Aeronautics, New experiments are in progress to determine the Atwood number dependence of the shear layer [P. E. Dimotakis (private communication)]
    • P. E. Dimotakis, "Turbulent free shear layer mixing and combustion," High-Speed Flight Propulsion Systems, edited by S. N. B. Murphy and E. T. Curran, Vol. 137 of Progress in Astronautics and Aeronautics, 1991, p. 265. New experiments are in progress to determine the Atwood number dependence of the shear layer [P. E. Dimotakis (private communication)].
    • (1991) High-Speed Flight Propulsion Systems , vol.137 , pp. 265
    • Dimotakis, P.E.1
  • 38
    • 84980087532 scopus 로고
    • Taylor instability in shock acceleration of compressible fluids
    • R. D. Richtmyer, "Taylor instability in shock acceleration of compressible fluids," Commun. Pure Appl. Math. 13, 297 (1960); E. E. Meshkov, "Instability of the interface of two gases accelerated by a shock wave," Fluid Dyn. 4, 101 (1969).
    • (1960) Commun. Pure Appl. Math. , vol.13 , pp. 297
    • Richtmyer, R.D.1
  • 39
    • 34250466139 scopus 로고
    • Instability of the interface of two gases accelerated by a shock wave
    • R. D. Richtmyer, "Taylor instability in shock acceleration of compressible fluids," Commun. Pure Appl. Math. 13, 297 (1960); E. E. Meshkov, "Instability of the interface of two gases accelerated by a shock wave," Fluid Dyn. 4, 101 (1969).
    • (1969) Fluid Dyn. , vol.4 , pp. 101
    • Meshkov, E.E.1
  • 40
    • 0002917718 scopus 로고
    • Self-similar turbulence propagation from an instantaneous plane source
    • edited by G. I. Barenblatt, G. Iooss, and D. D. Joseph Pitnam, Boston
    • G. I. Barenblatt, "Self-similar turbulence propagation from an instantaneous plane source," in Nonlinear Dynamics and Turbulence, edited by G. I. Barenblatt, G. Iooss, and D. D. Joseph (Pitnam, Boston, 1983).
    • (1983) Nonlinear Dynamics and Turbulence
    • Barenblatt, G.I.1
  • 41
    • 0003135291 scopus 로고
    • Development of a multimaterial two-dimensional, arbitrary Lagrangian-Eulerian mesh computer program
    • edited by J. M. Centrella, J. M. LeBlanc, R. L. Bowers, and J. A. Wheeler Jones and Bartlett, Boston
    • R. T. Barton, "Development of a multimaterial two-dimensional, arbitrary Lagrangian-Eulerian mesh computer program," in Numerical Astrophysics, edited by J. M. Centrella, J. M. LeBlanc, R. L. Bowers, and J. A. Wheeler (Jones and Bartlett, Boston, 1985).
    • (1985) Numerical Astrophysics
    • Barton, R.T.1
  • 42
    • 0011011414 scopus 로고
    • LASNEX simulations of the classical and laser-driven Rayleigh-Taylor instability
    • K. O. Mikaelian, "LASNEX simulations of the classical and laser-driven Rayleigh-Taylor instability," Phys. Rev. A 42, 4944 (1990).
    • (1990) Phys. Rev. A , vol.42 , pp. 4944
    • Mikaelian, K.O.1
  • 43
    • 0002418217 scopus 로고
    • The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. II
    • D. J. Lewis, "The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. II," Proc. R. Soc. London Ser. A 202, 81 (1950).
    • (1950) Proc. R. Soc. London Ser. A , vol.202 , pp. 81
    • Lewis, D.J.1
  • 44
    • 0001868072 scopus 로고
    • On the instability of superposed fluids in a gravitational field
    • D. Layzer, "On the instability of superposed fluids in a gravitational field," Astrophys. J. 122, 1 (1955).
    • (1955) Astrophys. J. , vol.122 , pp. 1
    • Layzer, D.1
  • 45
    • 5844248742 scopus 로고    scopus 로고
    • note
    • 2, but it is clearly a typing error misplacing the decimal point.
  • 46
    • 0000712341 scopus 로고
    • Onset of nonlinear saturation for Rayleigh-Taylor growth in the presence of a full spectrum of modes
    • S. W. Haan, "Onset of nonlinear saturation for Rayleigh-Taylor growth in the presence of a full spectrum of modes," Phys. Rev. A 39, 5812 (1989).
    • (1989) Phys. Rev. A , vol.39 , pp. 5812
    • Haan, S.W.1


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