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Analysis of dispersed‐phase systems: Fresh perspective
Author(s) -
Ramkrishna Doraiswami,
Sathyagal Arun,
Narsimhan G.
Publication year - 1995
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690410105
Subject(s) - volume fraction , dispersion (optics) , population balance equation , population , continuous phase modulation , phase (matter) , inverse , volume (thermodynamics) , particle (ecology) , mass transfer , fraction (chemistry) , mathematics , mechanics , flow (mathematics) , statistical physics , chemistry , thermodynamics , physics , computer science , chromatography , optics , telecommunications , demography , geometry , organic chemistry , oceanography , sociology , geology
Dispersed‐phase systems are analyzed with a fresh perspective where the volume fraction of the dispersed phase is emphasized, not particle numbers as in population balance. Such volume fraction balances are more pertinent to engineering because they deal with the amount of the dispersed phase relative to that of the continuous phase. Although it is easy to make detailed volume fraction balances directly or from population balance, many interesting features are identified here with balance equations in terms of volume fraction, which simply characterize the dispersion process and structure the resulting equation. They lead to equivalent “single‐particle” (comprising the entire dispersed phase) processes which can be simulated with great simplicity allowing rapid calculation of quantities associated with the dispersed phase and dispersion. The techniques can solve an inverse problem for mass‐transfer coefficients of individual droplets from (simulated) measurements of the bivariate distribution of drop size and concentration of a transferring solute. Such inverse problem method is important in developing experimental techniques techniques to measure multivariate population distributions such as those of Bae and Tavlarides (1989) and of flow cytometry.