Application of finite and infinite functions in determining of the metalworking dusts particle size distribution

Abstract

Particle size distribution is an important parameter for dust quality and properties assessment as well as a factor to estimate the air dustiness influence on humans and the choice of an appropriate dedusting means. The academic literature analysis shows that, unlike technological dust, there is practically no information available about theoretical models of metal machining dust size distribution. In addition, researchers rarely use finite functions, although an appropriate particle size distribution determination is crucial for dedusting ventilation systems designed for machine tools. The article examines the metal machining dust particle size distribution description using finite and infinite functions, and discusses the features and advantages of their application. As a result, it is concluded that infinite functions are good at describing dust with a high extremity of outliers. On the contrary, finite functions appropriately describe dust with low tailedness, the measure of which is the kurtosis. It should be noted that the obtained results are related to the dust analysis methods, including sieve analysis when selecting a sieve size range.