Applicability Of Sophisticated Shape Analysis Techniques To Engineering And Industrial Problems-- Fourier Shape Analysis

The science of particle shape analysis has expanded rapidly in the decade since precise numerical-statistical techniques were developed for use in characterizing the shape of closed forms. Use of Fourier descriptors permits shape to be quantified to whatever degree of precision is required. With this technique, particles and particle systems can be compared either on the basis of shape characteristics displayed by individual particles, or on the basis of aggregate shape characteristics representative of large samples of particles. Shape characterization work completed to date has shown that the physical characteristics of particle systems (porosity, permeability, strength, mechanical stability, chemical reactivity, and flow characteristics (viscosity)) are related directly to particle shape. Furthermore, it has been shown that particle shape is a function of chemical composition, process of formation, and post-formational history of the particle. In this light, particle shape analysis has potential applicability to a host of engineering and industrial problems encountered in processing particulate material. It can be used to optimize the efficiency of separation processes and particle feed systems, to trace particle pathways through processing systems, and to monitor the operation of specific processes, the wear of critical machine parts, and the quality of end products in processing systems. In this paper we discuss these specific applications of shape characterization to particle processing.