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Now we can see that this final figure is actually the integral of the particle size distribution shown in the first Figure. Thus we can move between the trace of turbidity vs time during the sedimentation phase to a particle size distribution. This data transformation could be one of the next steps in analyzing the data from the tube floc apparatus.
We also observe that the initial slope of turbidity vs time is expected to be flat for the first few seconds. I don't think the collected data shows that trend and thus it may be worth investigating why the turbidity was decreasing from the very beginning of the sedimentation phase. An instantaneous decrease in turbidity would require an infinite sedimentation velocity for at least some of the particles in the suspension.
First Look into the data
February 22, 2008
This is the raw data of settling column with alum dose of 15mg/L and turbidity vs. terminal velocity plot.
Polynomial Regression is evaluated on turbidity vs. terminal velocity plot, where n = number of polynomial degree. (a) n=1, (b) n=2, (c) n=3 and (d) n=4