Micro-Probability Density Function Methods

A detailed discussion of the various methods is given in the next sections. It focuses on statistically stationary flow. The methods can be combined, but this should be done with care and the resulting accuracy and computational effort should be kept in mind. 

Extensions to statistically non-stationary flow, where rapid variations in time of the values of the variables (random components) are superposed on slower variations in time of the mean components, i.e., of the macro-scale behavior, are rather straightforward. 

The present chapter focuses on single-phase flow, but extensions to multi-phase flow or monitoring other variables, such as the coke content and / or activity level of catalyst pellets, concentrations within coalescing droplets, changing pore sizes in a reacting solid, biochemical properties of growing cells, sizes of growing crystals, are possible. Some of these extensions are dealt with in Chapters 13 and 14. 

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Macro- and Micro-Mixing in Reactors Models Explicitly Accounting for Mixing Micro-Probability Density Function Methods... 

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