2016
DOI: 10.2514/1.b35954
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Two-Time-Variable Perturbation Theory for Liquid-Rocket Combustion Instability

Abstract: Nonlinear, transverse-mode, liquid-propellant-rocket-motor combustion instability is examined for the first time via a two-time-variable perturbation expansion in an amplitude parameter. Both triggered and spontaneous instability domains are studied. A specific coaxial multi-injector example demonstrates the matching process between wave dynamics and injection/combustion mechanisms. The combustion has a characteristic time for mixing, producing a time lag in the energy release rate relative to pressure. The co… Show more

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Cited by 4 publications
(8 citation statements)
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References 20 publications
(61 reference statements)
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“…The wave dynamics equation [16,22] includes a term with the first time derivative of E, the rate of energy conversion per unit volume. This quantity E will oscillate when acoustic oscillations occur.…”
Section: Coaxial Flame Analysismentioning
confidence: 99%
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“…The wave dynamics equation [16,22] includes a term with the first time derivative of E, the rate of energy conversion per unit volume. This quantity E will oscillate when acoustic oscillations occur.…”
Section: Coaxial Flame Analysismentioning
confidence: 99%
“…Under oscillation, it will create kinematic entropy waves as well as directly modifying the longer-wavelength acoustic oscillations. Those shorterlength kinematic waves have been filtered in the wave-dynamics equation [16,22] under the assumption that turbulent mixing eliminates quickly those short waves with higher gradients. We follow that assumption here and neglect entropy waves.…”
Section: Coaxial Flame Analysismentioning
confidence: 99%
See 3 more Smart Citations