The population balance equation (PBE) has been used in engineering for more than four
decades. However, several misconceptions and misuses can be found in the literature. The …

Bubble columns are widely used for carrying out gas− liquid and gas− liquid− solid reactions
in a variety of industrial applications. The dispersion and interfacial heat-and mass-transfer …

A three dimensional polydisperse model for bubbly two-phase flow around a surface ship is
presented. The Boltzmann equation for the bubble mass probability density function is …

This paper summarizes the mathematical surface equations which are useful in two-phase
flows and single-phase reacting flows. The connection between the interfacial area …

The interfacial area per unit volume is one of the key parameters in bubbly flow. Momentum,
mass and energy transfer occur through the interface between the phases. The functionality …

Elevated levels of dissolved gas in the spillway stilling basin, which are responsible for gas
bubble disease in fish, constitute an important negative environmental effect of dams …

Simultaneous modeling of both the acoustic phase and quiescent phase of breaking wave-
induced air bubbles involves a large range of length scales from microns to meters and time …

This paper deals with the modelling and numerical simulation of isothermal bubbly flows
with multi-size bubbles. The study of isothermal bubbly flows without phase change is a first …

Surface wettability is a key property in boiling heat transfer that influences heat-removal
mechanisms and/or change their relative relevance. An automata model for pool boiling …

As the flow basis for gas–liquid mixing, turbulence plays an important role in the movement
of bubbles in a stirred tank. Motivated by the fact that the current models in the framework of …