Reactive Bubbly Flows

Evolving Solitons in Bubbly Flows

At the end of the sixties, it was shown that pressure waves in a bubbly liquid obey the KdV equation, the nonlinear term coming from convective acceleration and the dispersive term from volume oscillations of the bubbles. For a variable u, proportional to -p , where p denotes pressure, the appropriate KdV equation can be casted in the form ut 6uu~ + u ~ = 0. The theory of this equation predicts...

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...

Mathematical Modeling of Bubbly Flows 1

Application of LDA to bubbly flows

The fluctuating velocity field in an air–water bubble column (i.d. 15.2 cm) at a gas fraction of 25% is investigated using backscatter LDA. Since the interpretation of LDA signals in bubbly flows is not straight forward also experiments on a single bubble train are reported. It is discussed that in the latter case when using seeding the backscatter LDA measures predominantly the liquid velocity...

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...