AIChE Journal · 1992 · 244 citations · 23 references
EngineeringChemical EngineeringComputational EngineeringComputational Fluid DynamicsFluid DynamicsFluid MechanicsGas-liquid FlowTurbulenceTurbulent FlowTurbulent MixingTurbulent TransportTwo-phase FlowDispersed Phase Volume FractionMass ConservationMass Conservation EquationSlip VelocityTurbulence ModelingTurbulent Closure ModelsTurbulent Flow ModelingTwo-phase Flow Modeling
Abstract This article outlines a computational procedure for the prediction of dispersed two‐phase, solid‐liquid and gas‐liquid, turbulent flows in baffled, impeller‐stirred vessels common in the chemical industries. A two‐flow Eulerian model is employed, based on the main assumption of interpenetrating coexisting continua. Mean momentum and mass conservation equations are solved for each phase and turbulent closure is effected by extending the single phase k‐ε turbulence model to two‐phase flows. The resulting set of highly coupled equations is solved by a two‐phase implicit algorithm, PISO‐2P, which allows calculation for a wide range of phase fraction, particle size and phase density rations. Predictions are presented for solid‐liquid and gas‐liquid (bubbly) flows. Comparisons are made with experimental data for the mean phase velocities and volume fraction, mean slip velocity and turbulence quantities.
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Mathematical models of turbulence 1972
Jay C. Hardin · Journal of Sound and Vibration · 1972 · 1.7K citations