A Method to Obtain Planar Mixture Fraction Statistics in Turbulent Flows Seeded With Tracer Particles
We present a new method to obtain the mixture fraction probability density functions (PDF) of turbulent mixing in planar sections of a flow field which is seeded with PIV tracer particles. We derive a model how the observed scattered light obtained locally in a laser light sheet results from the local mixture fraction PDF and the particle density PDF. From this model we develop an analytical as well as a numerical inversion procedure that allows the deconvolution of the mixture fraction PDF from the light intensity PDF using the measured seeding PDF. We explain the experimental procedure necessary to apply the new technique on the example of a turbulent free jet. The results of both the analytical and the numerical method are compared and the method is then validated against the literature data. Since the method seems applicable whenever PIV measurements can be made it bears high potential for combustor development as it allows to obtain mixing statistics using basically the same measurement hardware.