One-equation model to assess population balance kernels in turbulent bubbly flows

Numerical Simulation of Turbulent Bubbly Flows

A mathematical model for turbulent gas-liquid flows with mass transfer and chemical reactions is presented and a robust solution strategy based on nested iterations is proposed for the numerical treatment of the intricately coupled PDEs. In particular, the incompressible Navier-Stokes equations are solved by a discrete projection scheme from the family of Pressure Schur Complement methods. Nove...

Finite element simulation of turbulent bubbly flows

A finite element approach for solving gas-liquid flows with mass transfer and chemical reactions is presented. The incompressible Navier-Stokes equations coupled with a modified k − ε turbulence model for computation of the eddy viscosity are solved by a discrete projection scheme from the family of Pressure Schur Complement methods. Additionally, the simplified two-fluid (Euler-Euler) model ba...

One-Layer Turbulent Geophysical Flows

Statistical bounds controlling the total fluctuations in mean and variance about a basic steady 6 state solution are developed for the truncated barotropic flows over topography. Statistical ensemble predic7 tion is an important topic in weather and climate research. Here the evolution of an ensemble of trajectories 8 is considered in the statistical instability analysis and is compared and con...

Turbulent Bubbly Flow

One-dimensional Bubbly Cavitating Flows through a Converging-diverging Nozzle

A non-barotropic continuum bubbly mixture model is used to study the one-dimensional cavitating ow through a converging-diverging nozzle. The nonlinear dynamics of the cavitation bubbles are modeled by the Rayleigh-Plesset equation. Analytical results show that the bubble/bubble interaction through the hydrodynamics of the surrounding liquid has important e ects on this con ned ow eld. One clea...