The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet

Yu.V. Zuev

Moscow Aviation Institute (National Research University), Moscow, 125993 Russia

E-mail: yuri_zuev@bk.ru

Received September 1, 2021


ORIGINAL ARTICLE

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DOI: 10.26907/2541-7746.2022.1.85-100

For citation: Zuev Yu.V. The impact of coagulation and division of drops on the parameters of the gas-drop turbulent jet. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2022, vol. 164, no. 1, pp. 85–100. doi: 10.26907/2541-7746.2022.1.85-100. (In Russian)

Abstract

This article is devoted to the definition of conditions under which the calculation of the gas-drop turbulent jet must be carried out with account of the interaction of drops. A mathematical model of the gas-liquid turbulent jet that considers the equations of coagulation and division of drops is presented. The relevance of the research is defined by the fact that many applied tasks in various areas of technology can be solved only by performing calculations with gas-liquid jets, the results of which may be doubtful at certain concentrations of the dispersed phase owing to the neglect of the collision of drops. As a result of the calculation by means of the obtained mathematical model of the gas-drop turbulent jet, three ranges of changes in the initial total volume concentration of drops corresponding to various impacts of the interaction of drops in the jet on its parameters are determined. The lack of influence of drops collisions on all parameters of the jet is characteristic of the first range. The second range differs by insignificant dependence of the speeds of phases on the coagulation of drops. The third range corresponds to the concentration of drops in the initial section of the jet at which there are intensive processes of coagulation and division of drops influencing all parameters of the jet. The following conclusions can be drawn from the results of the research: in the first and second cases, the equation of the mathematical model of the jet does not require to consider the interaction of drops to solve many applied problems; in the third case, it is obligatory to take account of the coagulation and crushing of drops.

Keywords: two-phase jet, gas, drops, coagulation and division of drops, mathematical modelling

References

  1. Zuev Yu.V., Karpyshev A.V., Lepeshinskii I.A. Fire-extinguishing installation. Patent RF. 2121390. Byull. Izobret., 1998, no. 31. 15 p. (In Russian)
  2. Babukha G.L., Schreiber A.A. Vzaimodeistvie chastits polidispersnogo materiala v dvukhfaznykh potokakh [Interaction between Particles of a Polydisperse Material in Two-Phase Flows]. Kyiv, Nauk. Dumka, 1972. 175 p. (In Russian)
  3. Friedlander S.K. Smoke, Dust and Haze: Fundamentals of Aerosol Behavior. New York, Wiley and Sons, 1977. 317 p.
  4. Okuyama K., Kousaka Y., Yoshida T. Turbulent coagulation of aerosols in a pipe flow. J. Aerosol. Sci., 1978, vol. 9, no. 5, pp. 399–410. doi: 10.1016/0021-8502(78)90002-2.
  5. Sternin L.E. Osnovy gazodinamiki dvukhfaznykh techenii v soplakh [Fundamentals of Gas Dynamics of Two-Phase Flows in Nozzles]. Moscow, Mashinostroenie, 1974. 212 p. (In Russian)
  6. Elghobashi S. Particle-laden turbulent flows: Direct simulation and closure models. Appl. Sci. Res., 1991, vol. 48, nos. 3–4, pp. 301–314. doi: 10.1007/BF02008202.
  7. Varaksin A.Yu. Stolknoveniya v potokakh gaza s tverdymi chastitsami [Collisions in Gas Flows with Solid Particles]. Moscow, Fizmatlit, 2008. 312 p. (In Russian)
  8. Zuev Yu.V. About the use of the Stokes number for mathematical modeling of two-phase jet flows. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2019, vol. 161, no. 3, pp. 341–354. doi: 10.26907/2541-7746.2019.3.341-354. (In Russian)
  9. Nigmatulin R.I. Dinamika mnogofaznykh sred [Dynamics of Multiphase Media]. Pt. 1. Moscow, Nauka, 1987. 464 p. (In Russian)
  10. Hinze J.O. Turbulentnost', ee mekhanizm i teoriya [Turbulence: An Introduction to Its Mechanisms and Theory]. Moscow, Fizmatgiz, 1963. 680 p. (In Russian)
  11. Sternin L.E., Schreiber A.A. Mnogofaznye techeniya gaza s chastitsami [Multiphase Flows of Gas with Particles]. Moscow, Mashinostroenie, 1994. 320 p. (In Russian)
  12. Handbook of Turbulence. Vol. 1: Fundamentals and applications. Frost W., Moulden T. (Eds.). New York, London, Plenum Press, 1977. 498 p.
  13. Krasheninnikov S.Yu. Calculation of axisymmetric swirling and non-swirling turbulent jets. Izv. Akad. Nauk SSSR. Ser. MZhG, 1972, no. 3, pp. 71–80. (In Russian)
  14. Abramovich G.N., Girshovich T.A., Krasheninnikov S.Yu., Sekundov A.N., Smirnova I.P. Teoriya turbulentnykh strui [Theory of Turbulent Jets]. Abramovich G.N. (Ed.). Moscow, Nauka, 1984. 716 p. (In Russian)
  15. Zuev Yu.V., Lepeshinskii I.A., Reshetnikov V.A., Istomin E.A. Selection of criteria and determination of their values for estimating the phase interaction behavior in two-phase turbulent jets. Vestn. MGTU im. N.E. Baumana. Ser. Mashinostr., 2012, no. 1, pp. 42–54. (In Russian)
  16. Samarskii A.A. Teoriya raznostnykh skhem [Theory of Difference Schemes]. Moscow, Nauka, 1989. 616 p. (In Russian)
  17. Schreiber A.A., Gavin L.B., Naumov V.A., Yatsenko V.P. Turbulentnye techeniya gazovzvesi [Turbulent Flows of a Gas Suspension]. Kyiv, Nauk. Dumka, 1987. 240 p. (In Russian)
  18. Mostafa A.A., Mongia H.C., McDonell V.G., Samuelsen G.S. Evolution of particle-laden jet flows: A theoretical and experimental study. AIAA J., 1989, vol. 27, no. 2, pp. 167–183. doi: 10.2514/3.10079.
  19. Zuev Yu.V. Some reasons for nonmonotonic variation of descrete-phase concentration in a turbulent two-phase jet. Fluid Dyn., 2020, vol. 55, no. 2, pp. 194–203. doi: 10.1134/S0015462820020147.

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