Particulate Science And Technology · 1995 · 21 citations · 34 references
EngineeringCivil EngineeringPetroleum EngineeringComputational Fluid DynamicsFluid DynamicsHydraulic EngineeringExperimental Fluid MechanicsFlow MeasurementPipe FlowTurbulenceTurbulent FlowConcentration DistributionParticle InteractionsParticle-particle InteractionsPipeline DesignPressure Gradient ModelingTurbulent Flows In PipesVelocityVertical Pipe Flow
ABSTRACT The performance of a standard (k-L) turbulence model for predicting slurry pipeline pressure gradients is examined using experimental measurements of velocity and solids concentration distribution for upward vertical flows. Assuming the solids concentration rises abruptly from a value of zero at the pipe wall over a distance corresponding to one half a particle diameter, satisfactory predictions were obtained for sand particles of median diameter up to about 800 um in a 25.8 mm vertical pipeline. No damping of fluid turbulence or additional stresses due to particle-particle interactions were included in the computational model. Velocity distributions are found to be flatter than those of turbulent single-phase flows, because of the variation of mixture properties in the vicinity of the pipe wall.
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Mathematical models of turbulence 1972
Jay C. Hardin · Journal of Sound and Vibration · 1972 · 1.7K citations