This paper mainly focuses on the homogeneous flow regime, which can be classified as "pseudo-homogeneous" or "mono-dispersed homogeneous", depending on the prevailing bubble size distribution.
It is known that the fluid dynamics in bubble columns is related to the prevailing bubble size distribution existing in the systems.
This effect occurs because the number of market lots with index price determines the tick value in relation to the prevailing tick size, and hence the price discreteness affects returns negatively.
The variation in the prevailing bubble size distribution affects the "reactor-scale" (gas holdup and flow regime transition) and a lift-force-based approach is used to analyze the relationship between the "bubble-scale" and the "reactor-scale".
It was found that a change in the liquid phase properties affects the bubble interfacial properties at the "bubble-scale", thus changing the prevailing bubble size distribution because of the reduced/promoted coalescence phenomena.
The study revealed that liquid circulation pattern was affected in various complex manners depending on the arrangement of implanted tubes and prevailing bubble sizes.
Results of statistical tests and a figure of prevailing range sizes were generated with the software R vers.
The TPD method is very simple to implement experimentally, yields spatially resolved volume fractions directly, can easily measure small volume fractions, and does not depend on the prevailing soot particle size, morphology, or optical characteristics.
Conversely, when the prevailing bubble size distribution shifts towards smaller bubbles, because of the reduced coalescence (i.e., organic and inorganic active compounds, and low viscous liquid phases), the lift force pushes the small bubbles towards the wall, inducing cluster of bubbles and, consequently, stabilizing the homogeneous flow regime and increasing the gas holdup.
When the prevailing bubble size distribution shifts towards larger bubbles, because of the promoted coalescence (i.e., high viscous liquid phases), the lift force pushes the larger bubbles towards the center of the bubble column, inducing "coalescence-induced bubbles" and, consequently, destabilizing the homogeneous flow regime and decreasing the gas holdup.
