1961
DOI: 10.2514/8.5727
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A Simplified Model of Unstable Burning in Solid Propellants

Abstract: An analysis of the surface temperature, and hence mass flux, response of a solid propellant to a disturbance in gas pressure has been developed. Time lags in the gas phase are neglected while transient heat conduction in the solid is considered. The results are obtained by perturbing the conservation equations in both the gas phase and the solid phase. Stability conditions are obtained in terms of a few dimensionless parameters which depend upon the steady state conditions. T HE COUPLING of pressure disturbanc… Show more

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Cited by 187 publications
(64 citation statements)
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References 4 publications
(7 reference statements)
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“…30 They use the quasi-static assumption for the gas phase, and, although diffusion is ostensibly included, its influence does not appear in the final results because the Lewis number is taken to be unity. However, they unjustifiably use a result found in adiabatic laminar flame theory for premixed gases.…”
Section: J /Et S = (L/e){ [A + (A/a)] -(1 + A)} (40)mentioning
confidence: 99%
“…30 They use the quasi-static assumption for the gas phase, and, although diffusion is ostensibly included, its influence does not appear in the final results because the Lewis number is taken to be unity. However, they unjustifiably use a result found in adiabatic laminar flame theory for premixed gases.…”
Section: J /Et S = (L/e){ [A + (A/a)] -(1 + A)} (40)mentioning
confidence: 99%
“…In terms of the A-B formula (references [9] and [19]), Novozhilov finds that the parameter A is unchanged but B is replaced by BeiwTd : Figure 4.1 shows some results computed with (4.2). Although there is a pleasing, though small, effect in the vicinity of the peak of the real part, if Td is given an appropriate value, the behavior at higher frequencies is unacceptable.…”
Section: Modeling the Response Function With Surface And Gas Phase Dymentioning
confidence: 99%
“…The analysis of the effect of the shape of the response function on the combustion dynamics is based on parametric variations of a function expressed in the classical Denison and Baum form (reference [9]): Other geometrical characteristics of the chamber and physical properties of the propellant used for computations can be found in [2] and are not repeated here. The frequency of the fundamental mode (first longitudinal mode) is 900 Hz.…”
Section: Some Effects Of the Shape Of The Response Function On Chambementioning
confidence: 99%
“…Several of the more pertinent models which have appeared in the literature are: the Denison and Baum (DB) model (49), the Cohen (C) model (51), the Zel'dovlch Novozhilov (Z N) model (50) and the veloc i ty coupling model of Lengellé (43). A discuss ion of these models follows .…”
Section: Nonsteady State Modelsmentioning
confidence: 99%