Disperse multiphase flow polydisperse

For the purposes of this book, it will be useful to have a clear definition of what is meant by disperse and polydisperse in the context of multiphase flows. By disperse, we mean that one or more of the phases is composed of clearly identifiable discrete entities such as solid particles, drops, or bubbles. By polydisperse, we mean that the properties of the... 

As in all mathematical descriptions of transport phenomena, the theory of polydisperse multiphase flows introduces a set of dimensionless numbers that are pertinent in describing the behavior of the flow. Depending on the complexity of the flow (e.g. variations in physical properties due to chemical reactions, collisions, etc.), the set of dimensionless numbers can be quite large. (Details on the physical models for momentum exchange are given in Chapter 5.) As will be described in detail in Chapter 4, a kinetic equation can be derived for the number-density function (NDF) of the velocity of the disperse phase n t, X, v). Also in this example, for clarity, we will assume that the problem has only one particle velocity component v and is one-dimensional in physical space with coordinate x at time t. Furthermore, we will assume that the NDF has been normalized (by multiplying it by the volume of a particle) such that the first three velocity moments are... 

Mashayek, F Jabeii, F.A. Miller, R.S. Dispersion and polydispersity of droplets in stationary isotropic turbulence, bit. J. Multiphase Flaw. 1997, 23(2), 551-555. Mashayek, F Pandya, R.V.R. Analytical description of particle/droplet-laden turbulent flows. Progress Energy Combust Sci. 2003, 29,329-378. 

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