Method Of Particle Trajectory Recognition In Particle Flows Of High Particle Concentration Using A Candidate Trajectory Tree Process With Variable Search Areas

Method of Particle Trajectory Recognition in Particle Flows of High Particle Concentration Using a Candidate Trajectory Tree Process with Variable Search Areas

The application relates to particle trajectory recognition from a Centroid Population comprised of Centroids having an (x, y, t) or (x, y, f) coordinate. The method is applicable to visualization and measurement of particle flow fields of high particle. In one embodiment, the centroids are generated from particle images recorded on camera frames. The application encompasses digital computer systems and distribution mediums implementing the method disclosed and is particularly applicable to recognizing trajectories of particles in particle flows of high particle concentration. The method accomplishes trajectory recognition by forming Candidate Trajectory Trees and repeated searches at varying Search Velocities, such that initial search areas are set to a minimum size in order to recognize only the slowest, least accelerating particles which produce higher local concentrations. When a trajectory is recognized, the centroids in that trajectory are removed from consideration in future searches.

A Graphical Method for Determining Particle Trajectories

A Quasi-Analytical Method for the Calculation of Particle Trajectories

The equation of motion of a sand particle under the influence of aerodynamic drag has been developed in the inertial coordinate system. The method of solution presented is very easy to use in that only one first order differential equation has to be solved. The equation of motion has been integrated and solved for the special cases of one-dimensional steady flow and one-dimensional accelerating flow as well as the general case of two or three-dimensional accelerating flow. The computerized models of these three problems are presented along with solutions of example problems. High speed movies were taken of sand particles which had been accelerated in a specially designed tunnel. These results demonstrated the extreme accuracy of this method of solution. (Author).