A New Formulation of the Maximum Entropy Formalism to Model Liquid Spray Drop-Size Distribution

摘要

Considering the differences and disagreements involving the previous application of the Maximum Entropy Formalism to modeling the drop-size distribution of liquid sprays,a new formulation is suggested.The constraints introduced in this formulation are based on characteristic features common to any liquid atomiza-tion process,i.e.,the production of large and small drops is always limited.These limitations are a consequence of the action of both destabilizing and stabilizing forces such as aerodynamic and surface tension forces,respectively.The solution resulting from this approach.which makes use of statistical mechanics,is a three-parameter Generalized Gamma Distribution,which can treat any type of distribution.It is shown that this solution is identical to a Nukiyama-Tanasawa distribution that should no longer be regarded as an empirical distribution.Although this new formulation clearly answers the question concerning the amoimt of information required to describe a spray drop-size distribution,it raises the problem of the mathematical form to be given to this information,and is discussed here.