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Turbulent mixing of oil droplets in a round water jet

Turbulent mixing of oil droplets in a round water jet

Greekα -

Greekα - spreading rate of the jet for the velocity profilesα c - spreading rate of the jet for the concentration profilesγ - ratio of spreading rates for the concentration and velocity profilesδ z - depth of field∆h - height difference between coflow outlet and reservoir∆t - time interval in between two exposuresɛ - dissipation of turbulent kinetic energyˆɛ - three-point estimator for the subpixel displacementη - radial coordinate scaled by the length scale of the flow (r/l)η k - Kolmogorov length scaleκ - transport coefficientλ - wave lengthµ - dynamic viscosity of waterµ d - dynamic viscosity of oilν - kinematic viscosity of waterρ - water densityρ d - oil densityσ - interfacial tensionτ - molecular shear stressτ d - response time of the dropletsτ k - Kolmogorov time scaleτ particle - response time of a spherical particleΦ ent - entrained flowΦ jet - initial jet flow rateΦ tot - total flow through the turbulent jetψ - stream functionω col - collision frequency for a single droplet84

List of Tables4.1 Jet characteristics at (z − z0) = 75 - 150 mm. . . . . . . . . . . . . . . . . . . . . . 324.2 Characteristics of droplets in a turbulent jet at (z − z0) = 75 - 150 mm and c 0 is0.002. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3385

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