A second-order moment two-phase turbulence model is derived for simulating liqui d-bubble two-phase turbulent fluctuations and their interaction in liquid-bubble flows.To reduce the computer memory storage and computation time

algebraic exp ressions of Reynolds stresses and two-phase velocity correlations are used

inst ead of their transport equations.The proposed model is used to simulate liquid a nd bubble velocities

gas volume fraction

liquid and gas Reynolds stresses and turbulent kinetic energy in a 2-D rectangular bubble column.The simulation resul ts are in good agreement with the PIV measurement results.The studies indicate t he liquid recirculation and bubble up-rising flow patterns

and anisotropic liqu id and bubble normal Reynolds stresses.Bubble fluctuation is observed to be stro nger than liquid fluctuation.Moreover

both liquid velocity gradient and bubble- liquid interaction are important for the generation of liquid turbulence.