Non-Premixed Jet Flame Instabilities: From Hydrodynamic to Thermo-diffusive Modes

Paul Papas

Fluid Mechanics Laboratory
Swiss Federal Institute of Technology (EPFL)
1015 Lausanne; Switzerland

Abstract-
An overview of recent experimental and theoretical investigations into instabilities of diffusion flames will be presented.  The importance of the shear-driven Kelvin-Helmholtz instability in jet flames has long been known.  Other types of instabilities, such as thermo-diffusive modes, which dominate near the dynamic extinction limit of non-premixed jet flames are less well-known and have only recently become the subject of theoretical and experimental investigation.  As an introduction, the influence of the heat release and position of a non-premixed flame on the characteristics of the Kelvin-Helmholtz instabilities will be discussed and elucidated with experimental spatial growthrate and phase speed data measured in the linear region.  Next, comprehensive studies will be reviewed which focus on two self-excited, thermo-diffusive instabilities that occur near extinction conditions: (i) a recently discovered 'pulsation' or low-frequency oscillation and (ii) cellular instabilities.  First, systematic experiments will be presented which elucidate the conditions for which (i) regular axisymmetric 'pulsations' of the anchoring base of diluted propane and methane jet diffusion flames are observed.  While a similar phenomenon had been observed in microgravity flame experiments, this phenomenon had not been previously reported for gaseous non-premixed flames in Earth gravity.  Additional experiments will be presented which investigate the formation of (ii) cellular instabilities in non-premixed jet flames.  The key experimental parameters governing both types of thermo-diffusive instabilities, which are only observed near the extinction limit, include the reactant Lewis numbers (typically >1 for 'pulsations', and <1 for 'cells'), the initial mixture strength, and the velocity difference between the reactant streams.  In the second part of the seminar, recent theoretical efforts to understand the stability of laminar non-premixed flames in shear layers, both two-dimensional and axisymmetric, will be described.  In addition to the Kelvin-Helmholtz or vorticity modes, the linear stability model predicts a variety of instabilities near the extinction state, such as traveling and stationary cellular modes as well as zero wavenumber instabilities or 'pulsations,' offering connections with experimental observations.  

flame_flower_enh  
jet_cell_hex  

Cellular instability of a non-premixed 21% methane (79% SF6)-oxygen jet flame near extinction

Hexagonal cellular flame instability which forms in a 21 volume % methane (79% SF6) jet diffusion flame burning in pure oxygen near extinction (ReD =100).  The left and right images represent the side and top views, respectively. 

oscillations  

Image sequence of a self-excited, oscillating non-premixed 12% propane (88% nitrogen)-air jet flame near extinction  
(see Proc. Comb. Inst., Vol. 28, 2000).
Phase-locked images of a 12 volume % propane (88% nitrogen) jet diffusion flame burning in air near the extinction limit (Re D =100).  The phase angles (0, 60, 120, ... 360 degrees) cover one period of 570 ms.  The oscillations are self-excited and a very weak loudspeaker excitation was used here only as a synchronizing signal.  The vertical line to the left indicates a distance of 40 mm from the jet exit. 


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