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Turbulent mixing of oil droplets in a round water jet

Turbulent mixing of oil droplets in a round water jet

List of

List of SymbolsRomana - velocity of moleculesa plume - acceleration of a plume of oil dropletsc - volume concentration of oil dropletsc - mean oil concentrationc - fluctuating part of the oil concentrationc s - characteristic concentration scalecm 0 - the average greyvalue of the background flowcm jet - the average greyvalue of the jet flowd Airy - diameter of the Airy patternd d - droplet diameterd i - diameter of the particle imaged jet - diameter of the jet tubed light - thickness of the light sheetd p - particle diameterD a - aperture diameterf - focal lengthF buoy - buoyancy forceF drag - drag forceg - acceleration of gravitygrey(n) - greyvalue imagegrey cor (n) - greyvalue image corrected for fluctuations of the initial oil concentrationsI - momentum fluxI 0 - momentum flux at the jet tubeK - eddy-viscosityl - characteristic length scale of the velocity profiles in radial directionl c - characteristic length scale of the concentration profiles in radial directionL - characteristic length scale of the turbulent macro structureL - characteristic length scale of the flow in axial directionm d - mass of dropletm f - mass of fluidm plume - mass of a plume of oil dropletsM - magnification factorn - number of recorded double imagesn c - number concentration of oil dropletsp - mean pressureP - production of turbulent kinetic energyP coal - probability of coalescence82

Q - solute matter fluxQ 0 - initial solute matter fluxr - radial coordinateR - correlation functionRe jet - jet Reynolds numberSc - Schmidt numberSt - Stokes numbert drain - drainage timet int - interaction timeu - axial velocityu 0 - the centreline velocity at the outlet of the jet capillaryu - mean axial velocityu jet - mean jet velocity at the outletu - fluctuating part of the axial velocityu d - typical velocity difference over a dropletu s - characteristic velocity scale of the flowU - characteristic velocity scale of the turbulent macro structureUC - characteristic scale of the turbulent transport termsU d - velocity of a droplet relative to the surrounding fluidU term - terminal velocity of a rising dropletv - radial velocityv - radial velocityv - fluctuating part of the radial velocityuv - Reynolds shear stressuc - axial turbulent flux of dispersed phasevc - radial turbulent flux of dispersed phasev k - Kolmogorov velocity scaleW e d - droplet Weber numberz - axial coordinatez0 - virtual origin for the velocity fieldz0c - virtual origin for the concentration field83

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