Modeling Pulsating Combustion Due To Flow-Flame Interactions In Vortex-Stabilized Pre-mixed Flames

Abstract Large amplitude oscillations have been observed in pre-mixed combustion systems, where the flame is stabilized in the recirculation zone behind an obstacle or a sudden expansion (a dump), and have been related to coupling between the combustion dynamics and the acoustics of the system. We have constructed a model, which includes an intake duct connected to a large upstream reservoir at a fixed pressure, a compact combustor with a sudden expansion followed by a sudden contraction (a cavity), and a long exhaust duct connecting the combustor to the atmosphere, to describe a system typical of a pre-mixed dump combustor. The upstream and downstream components are modeled as ID non-reacting flow systems, while the combustor is modeled using a vortex simulation of the 2D Navier-Stokes equations with a low-Mach number, thin flame combustion model. Results indicate that the system dynamics is comprised of the combustor wake-mode, ƒD/U=O(0.l, and several other modes characteristic of the acoustics of the o...

[1]  S. Chakravarthy,et al.  The Split Coefficient Matrix method for hyperbolic systems of gasdynamic equations , 1980 .

[2]  E. Zukoski,et al.  Combustion instability sustained by unsteady vortex combustion , 1985 .

[3]  A. Chorin Flame advection and propagation algorithms , 1980 .

[4]  H. L. Seegmiller,et al.  Time-dependent behavior of a reattaching shear layer , 1987 .

[5]  A. K. Oppenheim,et al.  Numerical modelling of turbulent flow in a combustion tunnel , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[6]  Alexandre J. Chorin,et al.  Vortex sheet approximation of boundary layers , 1978 .

[7]  A. Ghoniem,et al.  Vortex simulation of laminar recirculating flow , 1987 .

[8]  W. Hayes The vorticity jump across a gasdynamic discontinuity , 1957, Journal of Fluid Mechanics.

[9]  Elaine S. Oran,et al.  Acoustic-vortex interactions and low frequency oscillations in axisymmetric combustors , 1987 .

[10]  P. Woodward,et al.  SLIC (Simple Line Interface Calculation) , 1976 .

[11]  James A. Sethian,et al.  THE DERIVATION AND NUMERICAL SOLUTION OF THE EQUATIONS FOR ZERO MACH NUMBER COMBUSTION , 1985 .

[12]  A. Ghoniem,et al.  Numerical study of the dynamics of a forced shear layer , 1987 .

[13]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[14]  L. Bauwens,et al.  Low frequency pressure oscillations in a model ramjet combustor - The nature of frequency selection , 1989 .

[15]  I. Tani,et al.  Experimental investigation of flow separation associated with a step or a groove. , 1961 .

[16]  A. Chorin Numerical study of slightly viscous flow , 1973, Journal of Fluid Mechanics.

[17]  Howard W. Emmons,et al.  Fundamentals of Gas Dynamics , 1958 .

[18]  H. Najm,et al.  Numerical simulation of the convective instability in a dump , 1987 .

[19]  S. Menon,et al.  Simulations of ramjet combustor flow fields. I - Numerical model, large-scale and mean motions , 1987 .

[20]  O. Knio,et al.  Numerical simulation of flame propagation in constant volume chambers , 1988 .

[21]  L. Trefethen Numerical computation of the Schwarz-Christoffel transformation , 1979 .

[22]  Habib Nasri Najm Numerical investigation of the instability of premixed dump combustors , 1989 .

[23]  J. E. Crump,et al.  Interaction between acoustics and subsonic ducted flow with dump , 1984 .

[24]  L. Landau,et al.  On the Theory of Slow Combustion , 1988 .

[25]  Craig T. Bowman,et al.  Combustor performance enhancement through direct shear layer excitation , 1990 .

[26]  Antoni K. Oppenheim,et al.  Secondary effects in combustion instabilities leading to flashback , 1982 .

[27]  G. Sivashinsky,et al.  Hydrodynamic theory of flame propagation in an enclosed volume , 1979 .

[28]  G. H. Markstein Perturbation Analysis of Stability and Response of Plane Flame Fronts , 1964 .

[29]  J. Sethian,et al.  Validation study of vortex methods , 1988 .

[30]  H. Najm,et al.  NUMERICAL SIMULATION OF THE CONVECTIVE INSTABILITY IN A DUMP COMBUSTOR , 1991 .