Numerical simulation of stationary combustion and detonation waves in boron particles with air mixture

Fluid, gas and plasma mechanics


Gidaspov V. Y.

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



The paper presents the results of numerical studies of ignition and detonation of boron dispersed particles with air combustible mixture. A simplified physico-mathematical model of the process was developed. The dispersed particles are considered two-component and consisting of boron and boron oxide. Material melting and evaporating processes are allowed for, as well as surface reaction or boron oxide formation. Carrying gas is multicomponent staying in thermodynamic equilibrium. The presence of boron fine particles, boron oxide and boron nitride in combustion product is allowed for herein. The structure and minimum velocity of stationary detonation wave propagation, as well as maximum velocity of the flow at stationary-state combustion were obtained by computational method. It was demonstrated that calculated wave parameters asymptotically approach their equilibrium values.


numerical simulation, metallized fuel, chemical reactions, phase transitions, combustion, detonation


  1. Pokhil P.F., Belyaev A.F., Frolov Yu.V., Logachaev V.S., Korotkov A.I. Gorenie poroshkoobraznykh metallov v aktivnykh sredakh (Combustion of powdered metals in active media), Moscow, Nauka, 1972, 294 p.

  2. Mitrofanov V.V. Detonatsiya gomogennykh i geterogennykh system (Detonation of homogeneous and heterogeneous systems), Novosibirsk, Izd-vo Instituta gidrodinamiki im. M.A. Lavrent'eva SO RAN, 2003, 200 p.

  3. Medvedev A.E., Fedorov A.V., Fomin V.M. Fizika goreniya i vzryva, 1984, vol. 20, no.2, pp. 3-9.

  4. Gremyachkin V.M., Istratov A.G., Leipunskii O.I. Fizika goreniya i vzryva, 1975, vol. 11, no. 3, pp. 366.

  5. Dregalin A.F., Zenukov I.A., Kryukov V.G., Naumov V.I. Matematicheskoe modelirovanie vysokotemperaturnykh protsessov v energoustanovkakh (Mathematical modeling of high temperature processes in power plants), Kazan', Izd-vo Kazanskogo universiteta, 1985, 263 p.

  6. Fedorov A.V., Fomin V.M., Khmel' T.A. Zakony goreniya. Geterogennaya detonatsiya. (Combustion Laws. Heterogeneous detonation), Moscow, Energomash, 2006, p. 352.

  7. Gremyachkin V.M., Istratov A.G., Leipunskii O.I. Fizika goreniya i vzryva, 1979, vol. 15, no. 6. pp. 5-13.

  8. Il'in A.P., Gromov A.A. Gorenie poroshkov alyuminiya i bora v sverkhtonkom sostoyanii (Combustion of aluminum powders and boron in ultrafine state), Tomsk, TGU, 2002, 154 p.

  9. Gromov A.A., Khabas T.A., Il'in A.P. Gorenie nanoporoshkov metallov (Тhe сombustion of metal nanopowders), Tomsk, Del'taplan, 2008, 382 p.

  10. Yagodnikov D.A. Vosplamenenie i gorenie poroshkoobraznykh metallov (The ignition and combustion of powdered metals), Moscow, Izd-vo MGTU im. N.E. Baumana, 2009, 432 p.

  11. Davidchuk E.L., Dimitrov V.I., Rafalovich M.L., Tulupov Yu.I., Slavinskaya N.A. Fizika goreniya i vzryva, 1991, vol. 27, no. 1, pp. 45-52.

  12. Davidchuk E.L, Dimitrov V.I., Zalozh V.A., Slavinskaya N.A., Tulupov Yu.I. Fizika goreniya i vzryva, 1991, vol. 27, no. 1, pp. 52-56.

  13. Gidaspov V.Yu. Trudy MAI, 2011, № 49:

  14. Pirumov U.G. Matematicheskoe modelirovanie v problemakh okhrany vozdushnogo basseina (Mathematical modeling in problems of air protection), Moscow, Izd-vo MAI, 2001, 340 p.

  15. Volkov V.A., Gidaspov V.Yu., Pirumov U.G., Strel'tsov V.Yu. Teplofizika vysokikh temperatur, 1998, vol. 36, no. 3. pp. 424-434.

  16. Gidaspov V.Yu., Moskalenko O.A., Pirumov U.G. Vestnik Moskovskogo aviatsionnogo instituta, 2009, vol. 16, no. 2, pp. 51-61.

  17. Gidaspov V.Yu. Trudy MAI, 2013, no. 66:

  18. Reviznikov D.L., Sposobin A.V. Vestnik Moskovskogo aviatsionnogo instituta, 2013, vol.20, no.3, pp. 205-211.

  19. Vinnikov V.V., Reviznikov D.L., Sposobin A.V. Trudy MAI, 2011, no. 46:

  20. Frank-Kamenetskii A.A. Diffuziya i teploperedacha v khimicheskoi kinetike (Diffusion and heat transfer in chemical kinetics), Moscow, Nauka, 1987, 502 p.

  21. Gurvich L.V., Veic I.V., Medvedev V.A. Termodinamicheskie svoistva individualnih veshestv (Thermodynamic properties of individual substances), Moscow, Nauka, 1978, 328 p.

Download — informational site MAI

Copyright © 2000-2019 by MAI