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Analytical Solution for Pressure-Coupled Combustion Response Functions of Composite Solid Propellants

Shusser, Michael and Culick, Fred E. C. and Cohen, Norman S. (2008) Analytical Solution for Pressure-Coupled Combustion Response Functions of Composite Solid Propellants. Journal of Propulsion and Power, 24 (5). pp. 1058-1067. ISSN 0748-4658. doi:10.2514/1.21502.

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This paper extends the classical analytical solution for small perturbation analysis of the pressure-coupled response of a homogeneous propellant to any two-component composite propellant. The solution obtained is general and can be used with any particular model for propellant combustion. As an example, the Cohen and Strand ammonium perchlorate propellant model for a single ammonium perchlorate particle size was used in this work. The results and their mechanistic significance are presented and discussed. It is shown that, for a two-component composite propellant, two forms of pressure exponents arise from the analysis. The significance of the second exponent is that it enables the composite propellant to be viewed as a homogeneous propellant with a frequency-dependent exponent via the coupling coefficients. It is found that the ammonium perchlorate is the main source of instability because of its condensed phase exothermicity and monopropellant flame kinetics. This will be a problem with energetic materials in general. The inert binder provides a stabilizing influence because of its endothermicity and the diffusion flame formed with the ammonium perchlorate. Effects of ammonium perchlorate particle size and pressure stem from the changing flame structure and its effect on burning rate.

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Additional Information:© Copyright 2008 American Institute of Aeronautics and Astronautics, Inc. Presented as Paper 3426 at the 37th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Salt Lake City, UT, 8–11 July 2001; received 1 December 2005; revision received 18 May 2008; accepted for publication 26 May 2008. This work was sponsored partly by the California Institute of Technology and partly by the U.S. Office of Naval Research Multidisciplinary University Research Initiative under Grant No. N00014-95-I-1338. Judah Goldwasser was the Navy Program Manager. The supplemental support under Multidisciplinary University Research Initiative Grant No. N00014-95-I-1339, through the courtesy of Herman Krier, University of Illinois at Urbana-Champaign, is gratefully acknowledged.
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Office of Naval ResearchN00014-95-I-1338
Office of Naval ResearchN00014-95-I-1339
Issue or Number:5
Record Number:CaltechAUTHORS:SHUjpp08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11956
Deposited By: Archive Administrator
Deposited On:14 Oct 2008 00:58
Last Modified:08 Nov 2021 22:23

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