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Model of The Dynamics of a Polydisperse Vapor–Droplet Mixture with Gas-Dynamical Fragmentation of Droplets

  • HYDROGASDYNAMICS IN TECHNOLOGICAL PROCESSES
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Journal of Engineering Physics and Thermophysics Aims and scope

A model of the dynamics of a multivelocity multitemperature polydisperse vapor–droplet mixture has been constructed with account for gas-dynamical fragmentation of droplets on surpassing the critical Weber number. Calculations of the dynamics of a vapor–droplet mixture of polydisperse composition on instantaneous insertion of droplets into flow have been made. To describe the motion of a carrier medium, the system of Navier–Stokes equations for a compressible heat-conducting gas was used. The dynamics of disperse fractions is described by systems of equations that include continuity equations, as well as momentum and internal energy conservation equations. The equations of motion of the carrier medium and of droplet fractions are written with account for the interphase momentum and energy exchange. To describe the process of gas-dynamical fragmentation, a semiempirical model, well-known from the literature, is applied allowing one to take into account the decrease in the radius, mean density, and volume content of the fractions being split up. Changes in the dispersity and dynamics of the vapor–droplet mixture occurring as a result of the fragmentation of droplets on instantaneous insertion of disperse phase into the flow are analyzed.

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References

  1. K. Yu. Aref’ev and A. V. Voronetskii, Simulation of the process of fragmentation and evaporation of droplets of a nonreacting liquid in high-enthalpy gas-dynamical flows, Teplofiz. Aéromekh., 22, No. 5, 609–620 (2015).

    Google Scholar 

  2. A. G. Girin, Equations of the kinetics of droplet fragmentation in a high-speed gas flow, J. Eng. Phys. Thermophys., 84, No. 2, 262–268 (2011).

    Article  Google Scholar 

  3. V. G. Tonkonog and S. N. Arslanova, System of Cryogenic Fuel Supply to a Power Plant, RF Patent No. 2347934. Published 27.02.2009. Byull. No. 8.

  4. A. A. Shraiber, Multiphase Polydisperse Flows with Variable Fraction Composition of Disperse Inclusions. Development of Science and Technology. Series "Complex and Special Sections of Mechanics" [in Russian], vol. 3, Proizv.-Izd. Komb. VINITI, Moscow (1988), pp. 3–80.

    Google Scholar 

  5. A. L. Tukmakov, Dynamics of coagulating polydisperse gas suspension in the nonlinear wave fields of an acoustic resonator, J. Eng. Phys. Thermophys., 88, No. 1, 9–17 (2015).

    Article  Google Scholar 

  6. A. L. Tukmakov, V. G. Tonkonog, and S. N. Arslanova, Wave coagulation of polydisperse gas suspension in the technology of gasification and cryostatting of liquefied natural gas, Akust. Zh., 62, No. 1, 125–131 (2016).

    Google Scholar 

  7. A. V. Chirikhin, Flow of Condensing and Dust-Laden Media in the Nozzles of Wind Tunnels [in Russian], Fizmatlit, Moscow (2011).

    Google Scholar 

  8. R. I. Bayanov and A. L. Tukmakov, Numerical description of acoustic vibrations of a vapor–gas–droplet mixture in aclosed channel based on one-velocity, one-temperature model, J. Eng. Phys. Thermophys., 88, No. 3, 587–593 (2015).

    Article  Google Scholar 

  9. A. G. Kutushev, Mathematical Simulation of Wave Processes in Aerodisperse and Powdery Media [in Russian], Izd. "Nedra," St. Petersburg (2003).

  10. C. A. J. Fletcher, Computational Techniques for Fluid Dynamics [Russian translation], Vol. 2, Mir, Moscow (1991).

    Book  Google Scholar 

  11. J. L. Steger, Implicit finite-difference simulation of flow about arbitrary two-dimensional geometries, AIAA J., 16, No. 7, 679–686 (1978).

    Article  Google Scholar 

  12. A. I. Zhmakin and A. A. Fursenko, On one monotonic difference scheme of continuous counting, Zh. Vychisl. Mat. Mat. Fiz., 20, No. 4, 1021–1031 (1980).

    MathSciNet  Google Scholar 

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Correspondence to N. A. Tukmakova.

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 6, pp. 2511–2519, November–December, 2019.

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Tukmakova, N.A., Tukmakov, A.L. Model of The Dynamics of a Polydisperse Vapor–Droplet Mixture with Gas-Dynamical Fragmentation of Droplets. J Eng Phys Thermophy 92, 1466–1474 (2019). https://doi.org/10.1007/s10891-019-02065-8

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  • DOI: https://doi.org/10.1007/s10891-019-02065-8

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