An Approach to Improved Credibility of CFD Calculations for Rocket Injector Design

Tucker, P. Kevin; Menon, Suresh; Merkle, Charles L.; Oefelein, Joseph C.; Yang, Vigor

doi:10.2514/6.2007-5572

Cited by 29 publications

(16 citation statements)

References 19 publications

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“…At this time, large-eddy simulations exist for simple configurations. There are several single injector studies (Oefelein & Yang 1998;Oefelein 2006;Tucker et al 2007;Yang, Cuoco & Oschwald 2007;Tucker et al 2008;Masquelet et al 2009;Masquelet & Menon 2010;Schmitt et al 2010Schmitt et al , 2011Guézennec, Masquelet & Menon 2012), but systematic large-eddy simulation of a multi-injector system is still to be demonstrated.…”

Section: Review Of Lpre Combustion Instability Literaturementioning

confidence: 99%

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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Section: Review Of Lpre Combustion Instability Literaturementioning

confidence: 99%

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

2014

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“…The combustor, referred to as PSU-RCM1, is composed of a cylindrical chamber instrumented for wall heat flux measurement and a convergent-divergent nozzle. A detailed description of the experimental setup is given in a previous paper [31], whereas additional details on the instrumentation and the measured data can be found elsewhere [11,32]. A schematic of the rig is shown in Fig.…”

Section: Gh 2 -Go 2 Shear-coaxial Injectormentioning

confidence: 99%

Large-Eddy Simulation of Flame-Turbulence Interactions in a Shear Coaxial Injector

Masquelet

Menon

2010

Journal of Propulsion and Power

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The turbulent combustion inside the main chamber of a liquid rocket engine is difficult to numerically model because of the wide range of scales involved, the complex thermodynamics at elevated pressure, and the influence of heat transfer. Here, a single-element gaseous-hydrogen-gaseous-oxygen shear-coaxial injector is studied. This case involves complex physical processes that are simulated using a large-eddy simulation approach. In particular, modeling of the nonpremixed turbulent combustion and its impact on the wall heat flux is addressed. This large-eddy simulation of the compressible multispecies Navier-Stokes equations is solved using a hybrid central-upwind scheme with a thermally perfect formulation. To keep the computational cost reasonable, priority was given to the near-field resolution over the near-wall resolution. The modeled flame anchoring and dynamics provide a satisfactory estimate of the wall heat flux. The unsteady and three-dimensional features of the flow are discussed in length, and the implications of the unique features of this shear-coaxial GH 2 -GO 2 injector for turbulent combustion modeling are analyzed.Nomenclature C , C = model coefficients for the subgrid closure D = mass diffusivity, m 2 s 1 e T = total energy (internal kinetic) per unit mass, J kg 1 H sgs = subgrid enthalpy flux, J m 2 h k = partial massic enthalpy of species k, J kg 1 J k = mass diffusion flux, kg m 2 k sgs = turbulent kinetic energy, m 2 s 2 N S = number of species considered P sgs = production of turbulent kinetic energy, kg m 1 s 3 p = pressure, pa Q IK = heat flux in the Irving-Kirkwood form, J m 2 Q sgs k = subgrid enthalpy flux due to diffusion of species k, J m 2 R = gas constant, J kg 1 K 1 T = temperature, k t = time, s u = velocity, m s 1 V k = diffusion velocity of species k, m s 1 x i = Cartesian coordinate, m Y k = mass fraction of species k = grid filter size, m sgs = subgrid dissipation of turbulent kinetic energy, kg m 1 s 3 sgs k = subgrid species diffusive flux, kg m 2 = thermal conductivity, W m 1 K 1 = dynamic viscosity, Pa s = density, kg m 3 sgs = subgrid heat flux, J m 2 ij = stress tensor Subscripts i, j = Cartesian direction k = species k property m = mixture property Superscripts x = spatially filtered quantitỹ x = Favre-filtered quantity x sgs = subgrid quantity

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“…Efforts to model and simulate real-gas effects [47][48][49][50][51][52][53][54][55][56][57] in an unsteady transcritical combustion have allowed to examine flame structures and dynamics by making use of large eddy simulations (LES). LES of transcritical coaxial jets and flames [58][59][60][61][62][63][64][65] show that it is possible to obtain reasonable predictions of transcritical flames and that such simulations could be used to explore transcritical jets and flames behavior under acoustic forcing as demonstrated in [66][67][68][69].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a transcritical coaxial flame under a high-frequency transverse acoustic forcing: Influence of the modulation frequency on the flame response

Hakim

Schmitt

Ducruix

et al. 2015

Combustion and Flame

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An Approach to Improved Credibility of CFD Calculations for Rocket Injector Design

Cited by 29 publications

References 19 publications

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

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

Large-Eddy Simulation of Flame-Turbulence Interactions in a Shear Coaxial Injector

Dynamics of a transcritical coaxial flame under a high-frequency transverse acoustic forcing: Influence of the modulation frequency on the flame response

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