SINGLE-POINT STATISTICS OF IDEAL SPRAYS .1. FUNDAMENTAL DESCRIPTIONS AND DERIVED QUANTITIES

In this work we explore the nature of single-point statistical descrip tions of sprays and the quantities derived therefrom. Specifically, we introduce the concept of what constitutes a complete and fundamental single-point description, and show how this can be developed in each o f two basic forms: concentration-based anf flux-based statistics. The results of this development show that a complete single-point descript ion of a spray has two components: The first is the spray intensity-ex pressing the quantity of spray present in a suitable form. The second is the well-known spray distribution function-expressing how the dropl ets of the spray are partitioned over their characteristics. Transform ation expressions between the two descriptions are developed, as are d erivations of the various quantities that depend on these descriptions . Specifically, quantities such as marginal distribution functions, dr oplet-dependent expected values, and various property flux rates and c oncentrations are defined and derived in each of the basic forms. Thes e latter developments are included both for the sake of completeness a nd to rectify common misconceptions about the definition and interpret ation of these derived quantities.