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Spherical and Cylindrical Low-Amplitude Waves in Polydisperse Fogs with Phase Transitions

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Abstract

A linear theory of propagation of spherical and cylindrical disturbances in polydisperse gas-vapor-drop mixtures is developed. Unsteady and non-equilibrium effects in the interphase mass, momentum, and energy exchange are taken into account. A general dispersion relation determining the propagation of plane, spherical, and cylindrical harmonic disturbances in polydisperse gas-vapor-drop systems is obtained. Using the fast Fourier transform, the propagation of pulse disturbances of different shapes in mixtures of air with water vapor and water drops is calculated. The effect of the geometry and interphase heat and mass transfer on the evolution of weak pulses in polydisperse air fogs is investigated.

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REFERENCES

  1. J. E. Cole and R. A. Dobbins, "Measurements of attenuation of sound by a warm air fog," J. Atmos. Sci., 28, No. 2, 202–209 (1971).

    Google Scholar 

  2. G. A. Davidson, "Sound-propagation in fogs," J. Atmos. Sci., 32, No. 11, 2201–2205 (1975).

    Google Scholar 

  3. F. E. Marble, "Dynamics of dusty gases," Annu. Rev. Fluid Mech., 2, 337–346 (1970).

    Google Scholar 

  4. N. A. Gumerov, A. I. Ivandaev, and R. I. Nigmatulin, "Dispersion and dissipation of acoustic waves in gas-particle mixtures” Dokl. Akad. Nauk SSSR, 272, No. 3, 560–563 (1983).

    Google Scholar 

  5. N. A. Gumerov, A. I. Ivandaev, and R. I. Nigmatulin, "Sound waves in monodisperse gas-particle or vapor-droplet mixtures," J. Fluid Mech., 193, 53–74 (1988).

    Google Scholar 

  6. D. A. Gubaidullin, "On the effect of heat and mass transfer on sound-wave propagation in gas-vapor-drop systems," Vestn. MSU. Ser. Matem. Mekh., No. 3, 95–98 (1987).

  7. D. A. Gubaidullin and A. I. Ivandaev, "Sound velocity and attenuation in gas-vapor-drop systems. The role of heat and mass transfer," Prikl. Matem. Tekh. Fiz., No. 3, 115–123 (1987).

  8. D. A. Gubaidullin and A. I. Ivandaev, "The effect of phase transitions on sound propagation in fogs. Comparison of theory and experiment," Prikl. Matem. Tekh. Fiz., No. 6, 27–34 (1990).

  9. D. A. Gubaidullin and A. I. Ivandaev, "Characteristic times of the phase interaction processes and their effect on dispersion and absorption of acoustic waves in gas-vapor-drop systems," Teplofiz. Vys. Temp., 29, No. 1, 121–127 (1991).

    Google Scholar 

  10. V. Sh. Shagapov, "On the propagation of small disturbances in a gas-vapor-drop mixture," Teplofiz. Vys. Temp., 25, No. 6, 1148–1154 (1987).

    Google Scholar 

  11. S. Temkin and R. A. Dobbins, "Measurements of attenuation and dispersion of sound by an aerosol," J. Acoust. Soc. America, 40, No. 5, 1016–1024 (1966).

    Google Scholar 

  12. R. Ishii and H. Matsuhisa, "Steady reflection, absorption and transmission of small disturbances by a screen of dusty gas," J. Fluid. Mech., 130, 259–277 (1983).

    Google Scholar 

  13. N. A. Gumerov and A. I. Ivandaev, "Sound propagation in polydisperse gas-particle mixtures," Prikl. Matem. Tekh. Fiz., No. 5, 115–124 (1988).

  14. R. I. Nigmatulin, Dynamics of Multiphase Media. V.1, Hemisphere, Washington (1989).

    Google Scholar 

  15. D. A. Gubaidullin and A. I. Ivandaev, "Propagation of acoustic disturbances in polydisperse fogs," Teplofiz. Vys. Temp., 30, No. 6, 1162–1168 (1992).

    Google Scholar 

  16. D. A. Gubaidullin and A. I. Ivandaev, "Effect of polydispersity on sound propagation in gas-vapor-dropmixtures," Prikl. Mekh. Tekh. Fiz., No. 4, 75–83 (1993).

    Google Scholar 

  17. R. I. Nigmatulin and D. A. Gubaidullin, "Effect of phase transitions in acoustics of polydisperse fogs," Dokl. Ross. Akad. Nauk, 347, No. 3, 330–333 (1996).

    Google Scholar 

  18. D. A. Gubaidullin and A. I. Ivandaev, "Dynamics of low-amplitude pulse waves in gas-vapor-drop systems," Prikl. Matem. Tekh. Fiz., No. 2, 106–113 (1991).

  19. R. I. Nigmatulin, A. I. Ivandaev, and D. A. Gubaidullin, "Effect of nonmonotonous dependence of sound dissipation on drop concentration in the acoustics of gas-particle mixtures," Dokl. Akad. Nauk SSSR, 316, No. 3, 601–605 (1991).

    Google Scholar 

  20. D. A. Gubaidullin, "Dynamics of weak pulse disturbances in polydisperse gas-vapor-dropmixtures," Teplofiz. Vys. Temper., 36, No. 6, 944–949 (1998).

    Google Scholar 

  21. D. A. Gubaidullin, Dynamics of Two-Phase Gas-Vapor-Drop Media [in Russian], Izd. Kazan’ Matem. Obshch., Kazan' (1998).

    Google Scholar 

  22. D. A. Gubaidullin and R. I. Nigmatulin, "On theory of acoustic waves in polydisperse gas-vapor droplet suspensions," Intern. J. Multiphase Flow, 26, No. 2, 207–228 (2000).

    Google Scholar 

  23. L. D. Landau and E. M. Lifshits, Theoretical Physics. V.6. Hydrodynamics [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  24. G. Whitham, Linear and Nonlinear Waves, Wiley Pub., New York (1974).

    Google Scholar 

  25. D. A. Gubaidullin, S. A. Laptev, and A. A. Nikiforov, "Propagation of spherical and cylindrical low-amplitude disturbances in gas-particle mixtures," Izv. Vuzov. Probl. Energ., 5–6, 17–24 (2000).

    Google Scholar 

  26. V. A. Gaponov, "Package of fast Fourier transform programs with applications to the modeling of random processes," Preprint ITF SB AS USSR, Nos. 14–76 (1976).

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  1. D. A. Gubaidullin
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Gubaidullin, D.A. Spherical and Cylindrical Low-Amplitude Waves in Polydisperse Fogs with Phase Transitions. Fluid Dynamics 38, 734–741 (2003). https://doi.org/10.1023/B:FLUI.0000007835.48111.9c

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  • DOI: https://doi.org/10.1023/B:FLUI.0000007835.48111.9c

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