Abstract: Food powders’s particle size distribution fractal dimension could well express the food powders’ particle size distribution. Through establishing the mathematics model to calculate the particle size distribution fractal dimension of the food powders’ appropriate to the digital micrograph’s, the relationship between the food powder’s flow parameters and food powder’s particle size distribution fractal dimension was discussed. The results showed that the food powder’s particle size distribution fractal dimension can denote the flowability of the powder perfectly. There is the obvious correspond relationship between the flowability denotation parameters and the fractal dimension. So it forms a new testing method, which can measure the food powder’s fluidity compactly and reliably.

Key words: fractal, flowability, Carr index, image process