Mathematical model for calculation parameters of spray cone of pneumatic fuel sprayer


Аuthors

Zuyev Y. V.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

e-mail: yuri_zuev@bk.ru

Abstract

The mathematical model of two‑phase turbulent jet flow taking into account non‑equilibrium of phases on speeds and temperatures, phase transformations, multicomponent structure of gas phase, polydispersion of drops, their coagulation and crushing is given. It is shown that this mathematical model can be used for calculation of parameters of spray cone of pneumatic fuel sprayer as well as for calculation speeds of gas and drops, concentration of drops and components of a gas phase and air‑fuel ratio in a spray cone.

Keywords:

pneumatic fuel sprayer, spray cone, mathematical model, calculation of parameters of spray cone

References

  1. Zuev Yu.V., Lepeshinsky I.A. Osobennosti rasprostraneniya gazovykh i dvukhfaznykh dvukhkonturnykh koaksial’nykh struj [Features of spread of gas and two-phase double-circuit coaxial jets]. Matematicheskoe modelirovanie – Matem. Mod., 2016, vol. 28, no. 12, pp. 95–106. In Russ.

  2. Shrayber A.A., Gavin L.B., Naumov V.A., Yatsenko V.P. Turbulentnye techeniya gazovzvesi [Turbulent gas-suspension flows]. Kiev: Nauk. Dumka, 1987. 240 p. In Russ.

  3. Elghobashi S., Abou-Arab T., Rizk M., Mostafa A. Prediction of the particle-laden jet with a two-equation turbulence model. Int. J. Multuphase Flow, 1984, vol. 10, no. 6, pp. 697–710.

  4. Volkov E.P., Zaichik L.I., Pershukov V.A. Modelirovanie goreniya tverdogo topliva [Simulation of solid fuel combustion]. Moscow: Nauka, 1994. 320 p. In Russ.

  5. Mostafa A.A., Mongia H.C., McDonell V.G., Samuelsen G.S. On the evolution of particle-laden jet flows: А theoretical and experimental study. AIAA J, 1987, pp. 2181–2197.

  6. Kostyuk V.V., Lepeshinskii I.A.,.Ivanov O.K, Zuev Yu.V., Reshetnikov V.A., Voronetskii A.V., Tsipenko A.V. Issledovanie protsessov mezhfaznogo vzaimodejstviya v mnogofaznykh turbulentnykh struyakh [Interphase interaction investigation in multiphase turbulent jets]. Matematicheskoe modelirovanie – Matem. Mod., 1999, vol. 11, no. 4, pp. 59–69. In Russ.

  7. Pakhomov M.A., Terekhov V.I. Chislennoe issledovanie turbulentnoj struktury polidispersnoj dvukhfaznoj strui s isparyayushhimisya kaplyami [Numerical simulation of turbulent flow in a polydispersed two-phase jet with evaporating]. Matematicheskoe modelirovanie – Matem. Mod., 2016, vol. 28, no. 11, pp. 64–78. In Russ.

  8. Nigmatulin R.I. Dinamika mnogofaznykh sred. Ch. I [Dynamics of multiphase media. Pt. I]. Moscow: Nauka. Glavnaya redaktsiya fiz.mat. literatury, 1987. 464 p. In Russ.

  9. Hinze J.O. Turbulence. An introduction to its mechanism and theory. New York, Mc Graw-Hill, 1959. 586 p.

  10. Levich V.G. Fiziko-khimicheskaya gidrodinamika [Physical-chemical hydrodynamics]. Moscow: Fizmatgiz, 1959. 700 p. In Russ.

  11. Babukha G.L., Shrajber А.А. Vzaimodejstvie chastits polidispersnogo materiala v dvukhfaznykh potokakh [Interaction of polydisperse material particles in two-phase flows]. Kiev: Naukova Dumka, 1972. 175 p. In Russ.

  12. Sternin L.E. Osnovy gazodinamiki dvukhfaznykh techenij v soplakh [Basis of gas dynamics of two-phase flows in nozzles] Moscow: Mashinostroenie, 1974. 212 p. In Russ.

  13. Zuev Yu.V., Lepeshinsky I.A., Nikitin P.V. Kriterial’noe issledovanie mezhfaznogo teploobmena v dvukhfaznoj turbulentnoj neizotermicheskoj strue [Criteria research of interphase heat exchange in a two-phase turbulent nonisothermal jet]. Matematicheskoe modelirovanie – Matem. Mod., 2015, vol. 27, no. 5, pp. 114–126. In Russ.

  14. Zuev Yu.V., Lepeshinsky I.A., Reshetnikov V.A., Istomin E.A. Vybor kriteriev i opredelenie ikh znachenij dlya otsenki kharaktera vzaimodejstviya faz v dvukhfaznykh turbulentnykh struyakh [The choice of criteria and determination of their values for the evaluation of the nature of the phase interaction in two-phase turbulent jets]. Vestnik MGTU im. N.E. Baumana. Ser. “Mashinostroenie” – Bulletin of MSTU. N.E. Bauman. Ser. “Mechanical engineering”, 2012, no. 1, pp. 42–54. In Russ.

  15. Paskonov V.M., Polezhaev V.I., Chudov L.A. Chislennoe modelirovanie protsessov teplo- i massoobmena [Numerical modeling of heat and mass transfer processes]. Moscow: Nauka, 1984. 288 p. In Russ.

  16. Yule A.J., Seng C.Ah., Felton P.G., Ungut A., Chigier N.A. A study of vaporizing fuel sprays by laser techniques. Combustion and Flame, 1982, no. 44, pp. 71–84.

  17. Teoriya, raschet i proektirovanie dvigatelej i ehnergeticheskikh ustanovok / Pod red. V.А. Sosunova, V.M. Chepkina [Theory, calculation and design of engines and power plants. Ed. V.A. Sosunova, V.M. Chepkina] Moscow: Izd-vo MАI – Publishing house MAI, 2003. 688 p. In Russ.

mai.ru — informational site of MAI

Copyright © 2009-2024 by MAI