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amplitude averaged axial locations axial velocity background band bimodal bimodal distribution centerline co-swirling flow cold flow combustion Combustion Institute combustor axis combustor wall counter-swirling flow density fluctuations density measurements diameter dipole emission energy entrance slit equation equivalence ratio exit slit Figure flame flow conditions gases Gouldin hot core increase inlet inner flow inner tube intensity laser beam laser power Leibovich low frequency low frequency oscillations maximum mean reaction zone methane concentration methane density molecule monochromator nitrogen number density observed obtained optical outer flow PDF of photon photon counts photon PDFs plot power spectra power spectral density present Q-branch radial distance Raman scattering Rayleigh measurements Rayleigh scattering reactants region Reynolds number rotational scattered light scattering cross-section scattering measurements shear layer shot noise signal slit function slit width stagnation point swirl number swirling flow thermocouple turbulence velocity fluctuations vibrational vortex breakdown wavelength