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Turbulent mixing of oil droplets in a round water jet

Turbulent mixing of oil droplets in a round water jet

0.7measured

0.7measured valuesfit0.650.6C c0.550.50.450.490 95 100 105 110 115 120 125z/dFigure 4.26: Variation of the centreline concentration along the axis at z = 75-105 mm.Droplets are counted.transport terms, plotted in figure 4.31.As claimed in section 2.2.4, the axial turbulent flux term, r∂u ′ c ′ /∂z, is much smaller than∂rv ′ c ′ /∂r. This indicates that the mixing process of the oil droplets in the jet is mainly determinedby the radial turbulent flux. To compare the average and turbulent terms, they areplotted together in figure 4.32 as well as their residue.It can be noticed that the difference between the turbulent and average transport terms is of asmaller order of magnitude as the individual terms. The difference is again caused by asymmetryin the velocity field (see section 4.2). This result confirms the claim that the oil droplets fulfil theturbulent transport equation for a passive mixed quantity.50

1measurementsGaussian fittheoretical profileAanen0.80.6C/C c0.40.20−0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4(x−x0)/(z−z0c)Figure 4.27: Mean concentration profiles at z = 75-105 mm. Droplets are counted.0.0450.04measurementsAanen0.0350.03/U cC c0.0250.020.0150.010.0050−0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4(x−x0)/(z−z0c)Figure 4.28: Axial turbulent flux u ′ c ′ at z = 75-105 mm.51

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