One-dimensional analysis of liquid-fueled combustion instability

Bhatia, R.; Sirignano, William A.

doi:10.2514/3.23413

Cited by 24 publications

(17 citation statements)

References 13 publications

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“…The results indicated that the gain or response function associated with the oscillatory vaporization rate that is in phase with the pressure oscillation is sufficiently large to sustain instability in certain frequency domains. This work was later extended by Sirignano, Chiang, and their colleagues [297][298][299][300][301] using more advanced vaporization models. Duvvur et al [301] employed an axisymmetric convective droplet model in their study of combustion instabilities.…”

Section: Oscillatory Liquid Fuel Atomization and Droplet Evaporationmentioning

confidence: 93%

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Dynamics and stability of lean-premixed swirl-stabilized combustion

Huang

Yang

2009

Progress in Energy and Combustion Science

1,123

459

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Section: Oscillatory Liquid Fuel Atomization and Droplet Evaporationmentioning

confidence: 93%

“…The process in turn produces heat release fluctuation. A number of studies [11,[295][296][297][298][299][300][301][302][303][304][305][306][307] dealing with the role of atomization and spray vaporization on combustion instability have been conducted on liquid-fueled propulsion systems.…”

Section: Oscillatory Liquid Fuel Atomization and Droplet Evaporationmentioning

confidence: 99%

Dynamics and stability of lean-premixed swirl-stabilized combustion

Huang

Yang

2009

Progress in Energy and Combustion Science

1,123

459

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“…Over several decades, some progress has been made in understanding the mechanisms driving the LPRE instability for thermodynamic subcritical and transcritical operations where vaporization is rate-controlling (Priem & Heidmann 1960;Heidmann & Wieber 1965;Strahle 1965aStrahle ,b,c, 1967Tong & Sirignano 1989;Bhatia & Sirignano 1991;Delplanque & Sirignano 1993;Yang & Lin 1994;Sirignano et al 1995;Delplanque & Sirignano 1996;Duvvur, Chiang & Sirignano 1996;Sirignano 2010).…”

Section: Review Of Lpre Combustion Instability Literaturementioning

confidence: 98%

Stochastic modelling of transverse wave instability in a liquid-propellant rocket engine

2014

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The combustion stability of a liquid-propellant rocket engine experiencing a random, finite perturbation from steady-state conditions is examined. The probability is estimated for a nonlinear resonant limit-cycle oscillation to be triggered by a random disturbance. Transverse pressure waves are considered by using a previously published two-dimensional nonlinear pressure wave equation coupled with Euler equations governing the velocity components. The cylindrical combustion chamber is a complex system containing multiple co-axial methane-oxygen injectors; each co-axial jet is analysed for mixing and burning on its own local grid scheme, with the energy release rate coupled to the wave oscillation on the more global grid. Two types of stochastic forcing for the random disturbance are explored: a travelling Gaussian pressure pulse and an oscillating pressure dipole source. The random variables describing the pulse are magnitude, location, duration and orientation of the disturbances. The polynomial chaos expansion (PCE) method is used to determine the long-time behaviour and infer the asymptote of the solution to the governing partial differential equations. Depending on the random disturbance, the asymptote could be the steady-state solution or a limit-cycle oscillation, e.g. a first tangential travelling wave mode. The asymptotic outcome is cast as a stochastic variable which is determined as a function of input random variables. The accuracy of the PCE application is compared with a Monte Carlo calculation and is shown to be significantly less costly for similar accuracy.

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“…Many of these studies about this type of instability have been published. Let us cite Bhatia and Sirignano [2], Culick and Yang [3], Delplanque and Sirignano [4], DiCicco and Buckmaster [5], Dubois et al [6], Duvur et al [7], Harrje and Reardon [8], Heidmann and Wieber [9], Heidmann [10], Prud'homme [11,12], Prud'homme and al. [1,13].…”

Section: Introductionmentioning

confidence: 99%

Effect of thermal convection on frequency response of a perturbed vaporizing pastille-shaped droplet

Anani

Prud'Homme

d’Almeida

et al. 2011

Mécanique & Industries

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We study the dynamic response to small acoustic oscillations of a vaporizing droplet in shape of a pastille (a small liquid cylinder, called "pastille" in the sequel, the height of which being smaller than the radius of the base). Contrary to some previously proposed models, where the thermal convection effect inside the droplet is often neglected, the continuously fed pastilleshaped model takes into account the effects of both thermal convection and conduction. Curves related to different heat exchange coefficients are presented for the frequency response of the vaporization rate. The case where the feeding process at the bottom of the pastille is assumed isothermal (isothermal bottom regime) is compared to the one where the feeding process at the bottom of the pastille is adiabatic (adiabatic bottom regime). The response factor curves for the pure conduction model of the spherical droplet and for the present model of the "equivalent pastille" are also compared. The temperature field perturbation is then examined. As well as for the evaporation mass flow rate perturbation, comparisons are made between the regime with an isothermal bottom and the one with an adiabatic bottom. We find that, in spite of some divergences observed between the various cases, the frequency response of a droplet submitted to acoustic oscillations presents also some common points. It is shown that the life time (or residence time), the thermal diffusion time, and the period of the harmonic perturbation do intervene strongly in the behaviour of the vaporizing pastille. The liquid propulsion is a possible application of this basic study conducted as part of a thesis.

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One-dimensional analysis of liquid-fueled combustion instability

Cited by 24 publications

References 13 publications

Dynamics and stability of lean-premixed swirl-stabilized combustion

Dynamics and stability of lean-premixed swirl-stabilized combustion

Stochastic modelling of transverse wave instability in a liquid-propellant rocket engine

Effect of thermal convection on frequency response of a perturbed vaporizing pastille-shaped droplet

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