Some questions of the hydromechanics of two-phase polydisperse media

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Abstract

This paper considers the fundamentals of the hydromechanics and the condensation wave in two-phase media in which the condensed phase is present in the form of particles of different diameter. We consider the question of the degree to which the introduction of only a single linear quantity d (the particle diameter) to characterize the dispersivity of the condensed phase is legitimate. In real mixtures there are particles or droplets of different diameter, and the dispersivity of the condensed phase should be characterized by some distribution function η(d). In order to avoid introducing an extra independent variable, we consider the case when there are droplets or particles with some finite set d2⋯ dn of dimensions in the mixture. Since particles of different dimensions will have different velocities and temperatures, the corresponding continuum model will have n velocities and n temperatures at every point. Thus, the parameters of the condensed phase, which hereafter will be termed the second phase, will be denoted by the subscripts 2, 3,⋯, n, depending on the sort of particle or parameter being referred to; the parameters of the carrier gas, which hereafter is termined the first phase, will be denoted by the subscript 1. The same notations and assumptions are used as in [1], namely: (1) the distances over which the flow parameters change significantly (outside the interfaces) are much larger than the distances between particles and, consequently, larger than the dimensions of the particles themselves; (2) the viscosity and thermal conductivity are significant only in the processes of interaction between phases; (3) collisions (i. e., interactions between particles) may be neglected.

Original languageEnglish
Pages (from-to)42-44
Number of pages3
JournalFluid Dynamics
Volume3
Issue number3
DOIs
Publication statusPublished - May 1968
Externally publishedYes

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