Flocculation model of cohesive sediment using variable fractal dimension |
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Authors: | Minwoo Son Tian-Jian Hsu |
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Institution: | (1) Department of Civil and Coastal Engineering, University of Florida, 365 Weil Hall, P.O. Box 116580, Gainesville, FL 32611-6580, USA |
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Abstract: | A new flocculation model using variable fractal dimension is proposed and validated with several experimental data and an
existing model. The proposed model consists of two processes: aggregation and breakup due to flow turbulence. For aggregation
process, the aggregate structure is considered to have the characteristic of self-similarity, the main concept of fractal
theory. Under this assumption, a variable fractal dimension instead of a fixed one adopted by previous studies is utilized
here for general cohesive sediment transport. For breakup, similar concept is adopted in a more empirical manner because breakup
is too abrupt to entirely apply the concept of variable fractal dimension. By a linear combination of the formulations for
aggregation and breakup processes, a flocculation model which can describe the temporal evolution of floc size is obtained.
Flocculation model using variable fractal dimension is capable of predicting equilibrium floc size when compared with several
experimental data sets using different types of mud provided that empirical coefficients are calibrated. Through model-data
comparison with Manning and Dyer (Marine Geology 160:147–170, 1999), it is also clear that some of the empirical coefficients
may depend on sediment concentration. Model results for the temporal evolution of floc size are less satisfactory, despite
model results shows a more smooth “S-curve” for the temporal evolution of floc size as compared with the previous model using
fixed fractal dimension. The proposed model is limited to mono-size of primary particle and dilute flow condition. These other
features shall be investigated as future work. |
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Keywords: | Flocculation Cohesive sediment Aggregation Breakup Fractal dimension Equilibrium floc size |
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