Abstract
The possibility of steady-state operation of small-size thrusters is discussed. A more detailed study of the known frequency equation makes it possible to compose a more detailed “chart of instability” for the physical formulation considered. It turns out that combustion in a certain range of parameters v and r (characterizing the dependence of the steady-state burning rate on pressure and the dependence of the surface temperature on initial temperature) is stable in a small-size thruster and unstable in a large-size motor.
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Ya. B. Zel’dovich, “Stability of powder combustion in a half-closed volume,” Prikl. Mekh. Tekh. Fiz., No. 1, 67–76 (1963).
R. Segal and L. D. Strand, “Theory of low-frequency instability of combustion in solid-propellant rocket motors,” Raket. Tekh. Kosmonavt., 2, No. 4, 140–148 (1964).
J. S. T’ien, W. A. Sirignano, and M. Summerfield, “Theory of L-star combustion instability with temperature oscillations,” AIAA J., 8, No. 1, 120–126 (1970).
B. V. Novozhilov, Unsteady Combustion of Solid Propellants [in Russian], Nauka, Moscow (1973).
H. F. R. Schoyer, “Incomplete combustion: a possible cause of combustion instability,” AIAA J., 21, No. 8, 1119–1126 (1983).
H. F. R. Schoyer and R. T. M. de Bont, “Experimental verification of temperature fluctuations during combustion instability,” AIAA J., 24, No. 2, 340–341 (1986).
Yu. A. Gostintsev and L. A. Sukhanov, “Theory of stability of powder combustion in a half-closed volume,” Combust., Expl., Shock Waves, 10, No. 6, 737–743 (1974).
L. K. Gusachenko and V. E. Zarko, “Analysis of phenomenological models of unsteady combustion of homogeneous solid propellants,” Gorenie Plazmokhim., 3, No. 3, 175–184 (2005).
L. K. Gusachenko and V. E. Zarko, “Combustion models for energetic materials with completely gaseous reaction products,” Combust., Expl., Shock Waves, 41, No. 1, 20–34 (2005).
L. K. Gusachenko and V. E. Zarko, “Erosive burning. Modeling problems,” Combust., Expl., Shock Waves, 43, No. 3, 286–296 (2007).
V. I. Zemskikh, B. V. Novozhilov, and A. V. Timchenko, “Transitional regimes of combustion of condensed systems in a semi-closed volume,” Khim. Fiz., 7, No. 10, 1392–1399 (1988).
A. B. Kiskin and B. V. Novozhilov, “Asymptotic behavior of the combustion rate of condensed systems under small perturbations,” Combust., Expl., Shock Waves, 25, No. 5, 641–644 (1989).
A. A. Zenin, “Processes in combustion zones of ballistite powders,” in: L. N. Stesik (ed.), Physical Processes during Combustion and Explosion [in Russian], Atomizdat, Moscow (1980), pp. 68–105.
A. A. Zenin and S. V. Finjakov, “Characteristics of RDX combustion zones at different pressures and initial temperatures,” Combust., Expl., Shock Waves, 42, No. 5, 521–533 (2006).
L. K. Gusachenko and V. E. Zarko, “Possibility of a negative dependence of the burning surface temperature of an energetic material on the initial temperature,” in: Fundamental and Applied Problems of Modern Mechanics (Conf. Proceedings) [in Russian], Izd. Tomsk. Univ., Tomsk (1998), pp. 53–54.
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Translated from Fizika Goreniya i Vzryva, Vol. 45, No. 5, pp. 82–91, September–October, 2009.
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Gusachenko, L.K., Rychkov, A.D. & Kiskin, A.B. Analysis of the possibility of steady-state operation of a small-size solid-propellant thruster. Combust Explos Shock Waves 45, 579–587 (2009). https://doi.org/10.1007/s10573-009-0069-6
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DOI: https://doi.org/10.1007/s10573-009-0069-6