Pages 59-65
Present paper describes the principle of an image measurement of three-dimensional flow field by means of statistical analysis. The technique is based on the fact that the probability of the particle passing is proportional to the flow speed if the particle concentration is uniform and constant through the measurement. In the present study, the measurement technique is extended so as to apply it on the three-dimensional velocity field. The governing equation is formed using the Lagrange's differentiation, and the process is similar to it of the so-called spatio-temporal derivative method. The governing equation is expressed by the vector notations, and it is easy to apply on three-dimensional field. Multi sheet light illumination system which is synchronized to the freezing cycle of images realize the three-dimensional measurement. The principle of the measurement is confirmed by the numerical simulations.
