Combustion phenomena are complex in theory and expensive to test, analysis techniques<br>provide handles with which we may describe them. Just as simultaneous experimental tech-<br>niques provide complementary descriptions of flame behavior, one might assume that no<br>analysis technique for any kind of flame measurement would cover the full description of<br>the flame. To this end, the search continues for complementary descriptions of engineering<br>flames that capture enough information for the engine designer to make informed decisions.<br>The kinds of flames I have encountered are high pressure transverse jet flames issuing into a<br>vitiated crossflow which is itself generated from combustion of a gaseous fuel and oxidizer.<br>Summarizing the behavior of these flames has required my understanding of experimen-<br>tal techniques such as Planar Laser Induced Fluorescence of a reaction intermediate -OH,<br>Particle Image Velocimetry of a passive tracer in the flame and OH * chemiluminescence of<br>another reaction intermediate. The analysis tools applied to these measurements must reveal<br>as much information as is laden in these measurements.<br>In this work I have also used wavelet optical flow to track flow features in the visualization<br>of combustion intermediates using OH * chemiluminescence. There are many limitations to<br>the application of this technique to engineering flames especially due to the interpretation<br>of the data as a 2-D motion field in 3-D world. The interpretation of such motion fields<br>as generated by scalar fields is one subject matter discussed in this dissertation. Some<br>inferences from the topology of the ensuing velocity field has provided insight to the behavior<br>of reacting turbulent flows which appear attached to an injector in the mean field. It gives<br>some understanding to the robustness of the attachment mechanism when such flames are<br>located near walls.