Three-State Continuous-Time Markov Chain Model for Mixed-Size Sediment Particle Transport
Publication: Journal of Hydraulic Engineering
Volume 140, Issue 9
Abstract
In this study, transport of mixed-size sediment particles under steady flow is described using the continuous-time Markov process. The continuous behavior of particle movement among the immobile bed material, bedload, and suspended load layer is modeled using a three-state continuous-time Markov process. Therefore, the probability of particles staying in each layer can be obtained by the proposed model, which can then be used to quantify the number of particles, and the bedload and suspended load transport rate, respectively. In addition, since the finer particles are more likely sheltered by coarse particles on the bed, mixed-size particles are considered in this paper to account for such an effect. The influence of dimensionless effective shear stress on the mean transient rates, representing the average rate of particle transitions among the immobile bed material, bedload layer, and suspended load layer, is quantified and discussed. The proposed model is verified against the experimental data with both bedload and suspended load particles. The modeling results of both bedload and suspended load transport rate show a reasonable agreement with laboratory measurements.
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Acknowledgments
We are thankful for the useful feedback and assistance from both Dr. Ken Kuai at SUNY at Buffalo, and the research assistants Ms. Fu-Ning Yang and Mr. Nai-Kung Wu at National Taiwan University. Financial support from both the U.S. National Science Foundation under grant contract number EAR-0748787 to the first author, and from the Taiwan National Science Council under grant contract number 102-2221-E-002 -143 -MY2 is greatly appreciated.
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Published In
Journal of Hydraulic Engineering
Volume 140 • Issue 9 • September 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 1, 2013
Accepted: Mar 3, 2014
Published online: Jun 23, 2014
Published in print: Sep 1, 2014
Discussion open until: Nov 23, 2014
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