*4.6. Correlations*

As already mentioned, correlations for the o ffset characteristics are derived based on the data in this work and under turbulent flow conditions. In Figures 8–11, the predicted lines are presented as fitting curves. At low aspect ratios (ξ = 2, 2.5, 3), η is linearly fitted with the flux, as shown in Figure 8. The minimum adjusted R-square value is 0.93, and the value for the predicted red line is 0.95. At high aspect ratios (ξ = 4, 4.5), η and the flux are suitably fitted with a lognormal curve, and the minimum adjusted R-square value is 0.96, while the correlation coe fficient of the purple line is 0.99. At an aspect ratio of 3, the change in data is irregular in the transition stage, and there is no suitable fitting relationship. However, the fitting correlation between the flux and angle is uniform, both of which exhibit exponential growth. The minimum correlation coe fficient is 0.85, and the red line in Figure 9 has a value of 0.99. As shown in Figure 10, the lognormal profile is adapted to the correlation of the aspect ratio and η. The correlation coe fficient of the red line is as high as 0.99, and the lowest value is not smaller than 0.95. Finally, at the highest flux (R = 588 LPH), the aspect ratio and angle reveal an exponential decay relationship (adjusted R-square = 0.94). Under the other conditions, the angle change is very slight, and a suitable fitting curve cannot be established.
