Abstract. In this work we show existence of global weak solutions for a two-phase gas-liquid model where the gas phase is represented by a general isothermal pressure law whereas the liquid is assumed to be incompressible. To make the model relevant for pipe and well-flow applications we have included external forces in the momentum equation representing respectively wall friction forces and gr...

BACKGROUND Evolution of a gas injected in a liquid is analyzed using the example of the behavior of oxygen molecules in water in which bubbles of gas molecules grow slowly by attachment of gas molecules to bubbles, the bubbles then associate and finally flow up to the liquid-gas interface and pass into the gas phase. RESULTS Two methods are considered for gas injection in a liquid, insertion ...

Abstract: Nuclear matter within the liquid-gas phase transition region is inNuclear matter within the liquid-gas phase transition region is investigated in a mean-field two-component Fermi-gas model. Following largely analytic considerations, it is shown that: (1) Due to density dependence of asymmetry energy, some of the neutron excess from the high-density phase could be expelled into the low...

The effect of ultrasound on the pseudo-solubility of nitrogen in water and on gas-liquid mass transfer kinetics has been investigated in an autoclave reactor equipped with a gas induced impeller. In order to use organic liquids and to investigate the effect of pressure, gas-liquid mass transfer coefficient was calculated from the evolution of autoclave pressure during gas absorption to avoid an...

New gas therapies using inert gases such as xenon and argon are being studied, which require in vitro and in vivo preclinical experiments. Examples of the kinetics of gas transport during such experiments are analyzed in this paper. Using analytical and numerical models, we analyze an in vitro experiment for gas transport to a 96 cell well plate and an in vivo delivery to a small animal chamber...

Aqueous foams are important in a variety of different applications, ranging from food and cosmetics to oil recovery, blast mitigation, and fire extinguishing. Well-established and emerging applications that use foams as an intermediate structure to produce macroporous materials are also widely used in the field of engineering to fabricate thermal insulating materials and low-weight structures, ...

A model for the simulation of complex three-dimensional free surface flows is presented. An incompressible liquid interacts with a compressible gas. The incompressible Navier-Stokes equations are solved only in the liquid domain while the dynamical effects in the gas are neglected. The compressibility effects of the gas are taken into account by computing its pressure. Surface tension effects a...