The laws of combustion of powders under conditions close to those of firing an artillery shot have been investigated. A solid-state local heat ignition model was used, and the process of powder combustion was simulated on the basis of the notions of the Belyaev–Zel′dovich thermal combustion theory. The complete formulation of the combustion problem includes the nonstationary processes of heat propagation and chemical transformation in the k-phase, as well as the quasi-stationary processes in the chemically reacting two-stage turbulent boundary layer near the combustion surface related to the characteristics of the averaged nonstationary flow by the boundary conditions at the outer boundary of the boundary layer. The features of the joint solution of the equations of the thermal combustion theory and the equations of internal ballistics have been analyzed. The questions on the convergence of the conjugate problem have been considered. The influence of various factors on the rate of combustion of powder has been investigated. The investigations conducted enabled us to formulate an approximate method for calculating the nonstationary and erosion rates of combustion of artillery powders at a shot on the basis of the Lenouard–Robillard–Karakozov approach.
Similar content being viewed by others
References
Ya. B. Zel′dovich, On the theory of combustion of powders and explosives, Zh. Éksp. Teor. Fiz., 12, Issues 11–12, 18–29 (1942).
Ya. B. Zel′dovich, On the rate of powder combustion at a variable pressure, Prikl. Mekh. Teor. Fiz., No. 3, 126–138 (1964).
B. V. Novozhilov, Nonstationary Combustion of Solid Rocket Fuels [in Russian], Nauka, Moscow (1973).
Ya. B. Zel′dovich, On the theory of powder combustion in a flow of gases, Fiz. Goreniya Vzryva, 7, No. 4, 163–176 (1971).
J. Corner, Interval Ballistics of Guns [Russian translation], Inostrannaya Literatura, Moscow (1953).
J. Vandenkerckhove, Erosion combustion of colloidal solid fuels, Vopr. Raketn. Tekh., 51, No. 3, 70–78 (1959).
V. N. Vilyunov, On the theory of erosion combustion of powders, Dokl. Akad. Nauk SSSR, 136, No. 2, 381–384 (1961).
B. T. Erokhin and A. M. Lipanov, Nonstationary and Quasi-Stationary Regimes of Operation of Solid-Propellant Rocket Engines [in Russian], Mashinostroenie, Moscow (1977).
J. Lenouard and J. Robillard, Mathematical method of determining the parameters of erosion combustion in rocket solid-fuel engines, in: Problems of Combustion of Rocket Fuels [Russian translation], Inostrannaya Literatura, Moscow (1959), pp. 405–411.
G. K. Karakozov, Candidate′s Dissertation (in Engineering), Central Scientific-Research Institute of Chemistry and Mechanics, Moscow (1964).
V. P. Nelaev, Candidate′s Dissertation (in Physics and Mathematics), Scientific-Research Institute of Applied Mathematics and Mechanics at the Tomsk State University, Tomsk (1975).
I. G. Rusyak and V. M. Ushakov, Intrachamber Heterogeneous Processes in Barrel Systems [in Russian], UrO RAN, Ekaterinburg (2001).
I. G. Rusyak, A. I. Ishchenko, V. Z. Kasimov, V. G. Sufiyanov, and M. A. Ermolaev, A program complex for modeling artillery shots, Izv. Vyssh. Ucheb. Zaved., Fiz., 56, No. 6 (3), 51–57 (2013).
V. N. Vilyunov and A. D. Kolmakov, On the rate of combustion of rocket powders in a turbulent gas flow, Tr. Sib. Fiz.-Tekh. Inst., Issue 43, 87–98 (1963).
A. G. Merzhanov and F. I. Dubovitskii, On the theory of stationary combustion of powder, Dokl. Akad. Nauk SSSR, 129, No. 1, 153–157 (1959).
V. N. Vilyunov, On the mathematical theory of the stationary rate of combustion of condensed substance, Dokl. Akad. Nauk SSSR, 136, No. 1, 136–139 (1961).
B. V. Novozhilov, Exothermal reaction front velocity in the condensed phase, Dokl. Akad. Nauk SSSR, 141, No. 1, 151–153 (1961).
B. I. Khaikin, A. K. Filonenko, and S. I. Khudyaev, Flame propagation in the course of two successive reactions proceeding in a gas, Fiz. Goreniya Vzryva, No. 4, 591–596 (1968).
A. D. Khon′kin, P. P. Vorotnikov, and A. I. Plotskii, Turbulent Boundary-Layer Flows, Pt. 1, Phenomenological Approaches and New Trends in the Study of Turbulence [in Russian], Otd. Nauch.-Tekh. Inform., TsAGI, Moscow (19790.
S. Patankar and D. B. Spalding, Heat and Mass Transfer in Boundary Layers [Russian translation], Énergiya, Moscow (1971).
G. I. Marchuk, Methods of Computational Mathematics [in Russian], Nauka, Moscow (1980).
V. F. Samusev and S. B. Umblia, On the problem of erosion combustion of ballistic powders, Fiz. Goreniya Vzryva, No. 3, 462–463 (1977).
V. K. Koshkin (Ed.), Principles of Heat Transfer in Aviation and Rocket-Space Facilities [in Russian], Mashinostroenie, Moscow (1975)
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 89, No. 6, pp. 1553–1563, November–December, 2016.
Rights and permissions
About this article
Cite this article
Rusyak, I.G., Lipanov, A.M. Investigation of the Conjugate Heat and Mass Transfer at Ignition and Subsequent Nonstationary Erosion Combustion of Powders Under Conditions Close to Those of Firing a Shot. J Eng Phys Thermophy 89, 1527–1537 (2016). https://doi.org/10.1007/s10891-016-1523-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-016-1523-4