1951
DOI: 10.2514/8.4393
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Aspects of Combustion Stability in Liquid Propellant Rocket Motors Part I: Fundamentals. Low Frequency Instability With Monopropellants

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Cited by 265 publications
(94 citation statements)
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“…Such models describe the combustor as a network of connected modules, and exploit the fact that one of the two phenomena key to the combustion instability mechanism, the acoustic waves, are very well modelled using simple analytical approaches. The response of the flame unsteady heat release rate to perturbations can be captured via a flame model [8,9]. The flame model should incorporate non-linearity at higher amplitudes, with this now established as being the main mechanism responsible for saturation into limit cycle in gas turbine combustors.…”
Section: Introductionmentioning
confidence: 99%
“…Such models describe the combustor as a network of connected modules, and exploit the fact that one of the two phenomena key to the combustion instability mechanism, the acoustic waves, are very well modelled using simple analytical approaches. The response of the flame unsteady heat release rate to perturbations can be captured via a flame model [8,9]. The flame model should incorporate non-linearity at higher amplitudes, with this now established as being the main mechanism responsible for saturation into limit cycle in gas turbine combustors.…”
Section: Introductionmentioning
confidence: 99%
“…They are due to a resonant coupling of the unsteady heat release and the acoustics propagating in the system and their prediction has become an important task to prevent their appearance at an early design stage [18][19][20]. For acoustically compact flames the linear analysis of combustion instabilities is generally performed with the Flame Transfer Function (FTF) introduced by Crocco [21,22] and more recently with the Flame Describing Function (FDF) [23,24]. In these approaches the FTF is defined as the relative heat release fluctuation ðq=qÞ to the relative inlet velocity perturbation ðû=uÞ induced by the acoustic field:…”
mentioning
confidence: 99%
“…Numerically, the study and prediction of annular chamber stability can be achieved by using one dimensional networks [1,6] or Helmholtz solvers [7,8]. These methods rely on the concept of the flame transfer function [9], which remains a key element and needs to be evaluated, using Large Eddy Simulation (LES) for example, or modeled [4,9,10]. Although LES could potentially predict combustion instabilities, until recently its use was restrained to the modeling of the flame transfer function obtained on a single sector simulation.…”
Section: Introductionmentioning
confidence: 99%