Abstract
A simple physicomathematical model of interaction of an axisymmetrical supersonic monodispersed jet with a solid body is proposed. The interaction leads to a rise of the fractions of reflected spinning particles and a “gas” of chaotized particles. This “gas” has its inherent pressure and diffusion coefficient. Numerical solutions of the corresponding system of equations are obtained in a wide range of the mass fractions of the particles in the mixing chamber. The model developed enables the shielding effect of reflected and chaotized particles to be estimated. In particular, their effect on heat transfer between the two-phase jet and the streamlined body can be estimated.
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Alkhimov, A.P., Klinkov, S.V., Kosarev, V.F., Mikhatulin, D.S., and Polezhaev, Yu.V., Teplofiz. Aeromekh., 2005, vol. 12, no. 3, p. 415.
Laderman, A.J., Lewis, C.H., and Byron, S.R., AIAA J., 1970, vol. 8, no. 10, p. 1831.
Matveev, S.K. and Seyukova, L.P., in Techeniya vyazkogo i nevyazkogo gaza. Dvukhfaznye zhidkosti (Flows of Viscous and Non-Viscous Gases: Two-Phase Liquids), Leningrad: Leningrad State University, 1981, p. 3; Gazodin. Teploobmen., 1981, no. 6.
Golovachev, Yu.P. and Shmidt, A.A., Fluid Dyn., 1982, vol. 17, no. 3, p. 387.
Vasilevskii, E.B., Osiptsov, A.N., Chirikhin, A.V., and Yakovleva, L.V., Inzh.-Fiz. Zh., 2001, vol. 74, no. 6, p. 25.
Kudin, O.K., Nesterov, Yu.N., Tokarev, O.D., Flaksman, Ya.Sh., and Yakovleva, L.V., in Tezisy dokladov XXII Yubileinyi seminar “Struinye, otryvnye i nestatsionarnye techeniya,” 2010 (Abstract of Papers of the XXII Anniversary International Seminar “Jet, Separated and Unsteady Flows,” St. Petersburg, Russia, June 22–25, 2010), St. Petersburg: St. Petersburg State University, 2010, p. 80.
Volkov, A.N., Tsirkunov, Yu.V., and Oesterlé, B., Int. J. Multiphase Flow, 2005, vol. 31, p. 1244.
Lashkov, V.A., Inzh.-Fiz. Zh., 1991, vol. 60, no. 2, p. 197.
Molleson, G.V. and Stasenko, A.L., Uch. Zap. TsAGI, 1990, vol. 21, no. 5, p. 51.
Molleson, G.V. and Stasenko, A.L., High Temp., 2012, vol. 50, no. 6, p. 755.
Molleson, G.V. and Stasenko, A.L., Mat. Model., 2011, vol. 23, no. 12, p. 49.
Osiptsov, A.N., Fluid Dyn., 1984, vol. 19, no. 3, p. 378.
Gilinskii, M.M. and Stasenko, A.L., Sverkhzvukovye gazodispersnye strui (Supersonic Gas-Dispersion Jets), Moscow: Mashinostroenie, 1990.
Lukerchenko, N., in Materialy VIII Mezhdunarodnoi konferentsii po neravnovesnym protsessam v soplakh i struyakh (NPNJ-2010) (Proceedings of the Eighth International Conference on Non-Equilibrium Processes in Nozzles and Jets (NPNJ-2010), Alushta, Ukraine, May 25–31, 2010), Moscow: MAI-PRINT (Moscow Aviation Institute), 2010, p. 82.
Millikan, R.A., Phys. Rev., 1923, vol. 22, p. 1.
Kavanau, L.L., Trans. ASME, 1955, vol. 77, no. 5, p. 613.
Oesterlé, B. and Bui, Dinh, T., Exp. Fluids, 1998, vol. 25, p. 16.
Rubinow, S.I. and Keller, J.B., J. Fluid Mech., 1961, vol. 11, p. 447.
Dennis, S.C.R., Singh, S.N., and Ingham, D.B., J. Fluid Mech., 1980, vol. 101, p. 257.
Crowe, C.T., Int. J. Multiphase Flow, 2000, vol. 26, p. 719.
Sarkar, S. and Balakrishnan, L., Application of a Reynolds Stress Turbulence Model to the Compressible Shear Layer, Hampton, Virginia, United States: National Aeronautics and Space Administration, Langley Research Center, 1990; ICASE report, no. 90-18, NASA CR-182002.
Simonin, O., in Proceedings of the Fifth Workshop on Two-Phase Flow Predictions, Erlangen, Germany, March 19-22, 1990, Erlangen, 1990, p. 156.
Mednikov, E.T., Turbulentnyi perenos i osazhdenie aerozolei (Turbulent Transfer and Deposition of Aerosols), Moscow: Nauka, 1981.
Longwell, J.P. and Weiss, M.A., Ind. Eng. Chem., 1953, vol. 45, no. 3, p. 667.
Friedlander, S.K., AIChE J., 1957, vol. 3, no. 3, p. 381.
Theofanous, T. and Sullivan, J., J. Fluid Mech., 1982, vol. 116, p. 343.
Stasenko, A.L., in Nauchno-tekhnicheskii otchet FGUP TsAGI (Scientific and Technical Report FSUE TsAGI for 2006), Zhukovskii, Moscow region: Central Aerohydrodynamic Institute, 2007, p. 207.
Stasenko, A.L., Inzh.-Fiz. Zh., 2007, vol. 80, no. 5, p. 38.
Molleson, G.V. and Stasenko, A.L., High Temp., 2009, vol. 47, no. 5, p. 680.
Derevich, I.V., J. Appl. Mech. Tech. Phys., 1999, vol. 40, no. 5, p. 989.
Lashkov, V.A. and Matveev, S.K., Vestn. St. Peterb. Univ., Ser. 1: Mat., Mekh., Astron., 2009, no.1, p. 76.
Varaksin, A.L., Stolknoveniya v potokakh gaza s tverdymi chastitsami (Collisions in Flows of the Gas with Solid Particles), Moscow: Fizmatlit, 2008.
Stasenko, A.L., Kvant, 2009, no. 3, p. 48.
Handbook of Physical Quantities, Grigoriev, I.S. and Meilikhov, E.Z., Eds., Boca Raton, Florida, United States: CRC Press, 1996.
Kim, O.V. and Dunn, P.F., J. Aerosol Sci., 2007, vol. 38, p. 532.
Belotserkovskii, O.M. and Davydov, Yu.M., Metod krupnykh chastits v gazovoi dinamike (Method of Large Particles in Gas Dynamics), Moscow: Nauka, 1982.
Shebeko, V.N., Inzh.-Fiz. Zh., 1986, vol. 51, no. 3, p. 428.
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Original Russian Text © G.V. Molleson, A.L. Stasenko, 2013, published in Teplofizika Vysokikh Temperatur, 2013, Vol. 51, No. 4, pp. 598–611.
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Molleson, G.V., Stasenko, A.L. Interaction of a two-phase jet with a solid body with generation of a “Chaos” of particles. High Temp 51, 537–550 (2013). https://doi.org/10.1134/S0018151X13040147
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DOI: https://doi.org/10.1134/S0018151X13040147