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Water 2015, 7(5), 2527-2541; doi:10.3390/w7052527

Stochastic Flocculation Model for Cohesive Sediment Suspended in Water

1
Department of Oceanography, Inha University, Incheon 402-751, Korea
2
Department of Civil Engineering, Chungnam National University, Daejeon 305-764, Korea
3
Department of Oceanography, Inha University, Incheon 402-751, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: Miklas Scholz
Received: 1 April 2015 / Accepted: 18 May 2015 / Published: 22 May 2015
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Abstract

Existing flocculation models for cohesive sediments are classified into two groups: population balance equation models (PBE) and floc growth models. An FGM ensures mass conservation in a closed system. However, an FGM determines only the average size of flocs, whereas a PBE has the capability to calculate a size distribution of flocs. A new stochastic approach to model the flocculation process is theoretically developed and incorporated into a deterministic FGM in this study in order to calculate a size distribution of flocs as well as the average size. A log-normal distribution is used to generate random numbers based on previous laboratory experiments. The new stochastic flocculation model is tested with three laboratory experiment results. It was found and validated with measured data that the new stochastic flocculation model has the capability to replicate a size distribution of flocs reasonably well under different sediment and carrier flow conditions. Three more distributions (normal; Pearson type 3; and generalized extreme value distributions) were also tested. From the comparison with results of different distribution functions, it is shown that a stochastic FGM using a log-normal distribution has a comparative advantage in terms of simplicity and accuracy. View Full-Text
Keywords: cohesive sediment; flocculation process; size distribution; stochastic approach; distribution function cohesive sediment; flocculation process; size distribution; stochastic approach; distribution function
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Shin, H.J.; Son, M.; Lee, G.-H. Stochastic Flocculation Model for Cohesive Sediment Suspended in Water. Water 2015, 7, 2527-2541.

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