Derivation of Droplet Size Distribution in Sprays By Using Information Theory

Abstract

In this paper, the joint droplet size and velocity distribution is derived by applying information theory to the atomization process, along with the normalization of the probability distribution function and the physical conservation laws of mass, momentum and energy. The obtained distribution contains the Weber number as a variable, and agrees with experimental observations. An equation for the Sauter mean diameter (D₃₂) is obtained which agrees with several of the expressions that have been obtained from correlations of experimental data. When the Weber number exceeds 4000, the results given by Li and Tankin (1987) are appropriate.