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Droplet size distribution in a percolation model for explosive liquid dispersal

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Literature cited

  1. P. De Gennes, Scaling Concepts in Polymer Physics [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  2. S. V. Stebnovskii, “The growth of initial perturbations at the outer boundary of an expanding gas-liquid ring,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1982).

  3. S. V. Stebnovskii and N. N. Chernobaev, “The energy threshold for pulsed description of a liquid volume,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1986).

  4. S. V. Stebnovskii and N. N. Chernobaev, “Effects of liquid-volume loading dynamics on the break-up mechanism,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1987).

  5. V. M. Entov, F. M. Sultanov, and A. L. Yarin, “Liquid film break-up as a result of surrounding-gas pressure differences,” Dokl. Akad. Nauk SSSR,284, No. 5 (1985).

  6. V. M. Entov, F. M. Sultanov, and A. L. Yarin, “Liquid-film break-up as a result of surrounding-gas pressure differences,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1986).

  7. F. M. Sultanov and A. L. Yarin, “Rayleigh-Taylor instability in blown polymer films,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1988).

  8. D. Peregrin, “Focal hydromechanics,” in: Modern Hydrodynamics: Advances and Problems [Russian translation], Mir, Moscow (1984).

    Google Scholar 

  9. A. N. Kolmogorov, “Droplet break-up in a turbulent flow,” Dokl. Akad. Nauk SSSR,66, No. 5 (1949).

  10. D. Stauffer, “Scaling theory of percolation clusters,” Phys. Rep.,54, No. 1 (1979).

  11. A. Flammang, “Percolation cluster sizes and perimeters in three dimensions,” Z. Phys., B,28, No. 1 (1977).

  12. Yu. F. Dityakin, L. A. Klyachko, B. V. Novikov, et al., Liquid Spraying [in Russian], Mashinostroenie, Moscow (1977).

    Google Scholar 

  13. M. A. Lavrent'ev and B. V. Shabat, Hydrodynamic Topics and Mathematical Models for Them [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  14. V. M. Kuznetsov, Mathematical Models for Blasting [in Russian], Nauka, Novosibirsk (1977).

    Google Scholar 

  15. A. S. Lyshevskii, Trends in Liquid Dispersal by Mechanical Pressure Sprayers [in Russian], Novocherkassk. Politekh. Inst., Novocherkassk (1961).

    Google Scholar 

  16. D. Stauffer, Introduction to Percolation Theory, Taylor and Francis, London (1985).

    Google Scholar 

  17. V. M. Entov and A. L. Yarin, “Dynamics of free jets and films of viscous and rheologically complex liquids,” in: Surveys of Science and Engineering, Liquid and Gas Mechanics Series [in Russian], Vol. 18, VINITI (1984).

  18. G. Taylor, “The dynamics of thin sheets of fluid. II. Waves on fluid sheets. III. Disintegration of fluid sheets,” Proc. R. Soc. London,A253, No. 1274 (1959).

  19. C. J. Clark and N. Dombrowski, “On the formation of drops from the rims of fan spray sheets,” J. Aerosol Sci.,3, No. 3 (1972).

  20. V. M. Entov, A. H. Rozhkov, U. F. Feizkhanov, et al., “Liquid-film dynamics: Planar films with free ridges,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1986).

  21. V. M. Entov, A. N. Rozhkov, U. F. Feizkhanov, et al., “The propagation of small bending perturbations over planar films of water and polymer solutions,” Zh. Prikl. Mekh. Tekh, Fiz., No. 4 (1986).

  22. A. L. Yarin, “Bending perturbations in free Maxwell and Don-Edward jets,” Zh. Prikl. Mekh. Tekh. Fiz., No. 6 (1986).

  23. V. M. Entov, V. I. Kordonskii, P. V. Prokhorov, et al., Rapid Uniaxial Stretching for Polymer Solutions with Moderate Concentrations [in Russian], Preprint No. 7, ITMO AN BSSR and IPM AN SSSR, Minsk (1987).

    Google Scholar 

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 48–54, September–October, 1990.

We are indebted to V. M. Entov for a useful discussion.

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Sultanov, F.M., Yarin, A.L. Droplet size distribution in a percolation model for explosive liquid dispersal. J Appl Mech Tech Phys 31, 708–713 (1990). https://doi.org/10.1007/BF00852443

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  • DOI: https://doi.org/10.1007/BF00852443

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