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One-dimensional nonlinear model for determining combustion instability in solid propellant rocket motors

TLDR
In this paper, a nonlinear analysis of transverse mode instability in a solid pro- pellant rocket geometry indicated the relative combustion stability based on three para- metric groupings: burning rate, wall-loss, and viscous-dissipation parameters.
Abstract
SUMMARY OF RESULTS A one-dimensional, nonlinear analysis of transverse mode instability in a solid pro- pellant rocket geometry indicated the relative combustion stability based on three para- metric groupings: burning rate, wall-loss, and viscous-dissipation parameters, of which only the burning rate parameter appeared to be significant in the one-dimensional model with a nonvibrating solid phase. The results of the analysis, presented as the minimum pressure amplitude required to incite instability as a function of the burning rate parameter, showed that erosive burning was an important factor in determining sta- bility. With only a 10-percent contribution to the burning rate due to erosion, the sta- bility boundary was significantly affected so as to reduce the stable region of operation. A two-fold increase in the pressure exponent in the burning rate law also showed a de- crease in the stable operating regime. This effect was not as pronounced as the erosive effect. Increasing the

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Citations
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Acoustic instability in the transverse modes of solid propellent rockets

TL;DR: In this article, the authors examined the balance of the acoustic gains and losses in the system with respect to those loss and gain mechanisms for which some limited information is available, and showed that the critical conditions for instability may be quite different functions of the parameters characterizing the rocket.

Solid-Propellant Combustion Instability and the Role of Velocity Coupling

TL;DR: In this article, the role of pressure and velocity coupling in solid propellant combustion instability is discussed, and the effect of burning rate catalyst and aluminum oxide on the occurrence and severibility of combustion instability.
References
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Journal ArticleDOI

Theory of acoustic instability in solid-propellant rocket combustion

TL;DR: In this article, the authors reviewed the problem of unstable combustion in solid-propellant rockets, with special emphasis on the status of theory and, where possible, the comparison between theory and experiment.
Journal ArticleDOI

Experimental solid rocket combustion instability

E.W. Price
TL;DR: In this article, the authors classified oscillatory combustion of solid rocket propellants into three categories referred to as high-, intermediate-, and low-frequency instability: high, intermediate, and low frequency instability.
Journal ArticleDOI

Acoustic Resonance in Solid Propellant Rockets

TL;DR: In this paper, the viscoelastic properties of the solid along with those of the burned gases determine the characteristic modes of the system corresponding to the particular boundary conditions imposed on these media by the metal components.
Journal ArticleDOI

Nonlinear Effects in Instability of Solid-Propellant Rocket Motors

TL;DR: In this article, the effects of erosion on stability and waveform of finite amplitude oscillations in motors with cylindrical propellant charges are discussed. But, the authors do not consider the effect of drift on the waveform.
Journal ArticleDOI

Vibrations of Thick‐Walled Hollow Cylinders: Exact Numerical Solutions

TL;DR: In this article, the plane-strain vibration frequencies of an infinitely long hollow cylinder are calculated exactly with the aid of a high speed electronic computer for a range of wall thicknesses and azimuthal node numbers and for a variety of boundary conditions.
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