Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model
Joint Authors
Chen, Wen
Chen, Dong
Sun, HongGuang
Zhang, Yong
Nie, Shiqian
Chen, Li
Schaefer, Sydney
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The fractional advection-diffusion equation (fADE) model is a new approach to describe the vertical distribution of suspended sediment concentration in steady turbulent flow.
However, the advantages and parameter definition of the fADE model in describing the sediment suspension distribution are still unclear.
To address this knowledge gap, this study first reviews seven models, including the fADE model, for the vertical distribution of suspended sediment concentration in steady turbulent flow.
The fADE model, among others, describes both Fickian and non-Fickian diffusive characteristics of suspended sediment, while the other six models assume that the vertical diffusion of suspended sediment follows Fick’s first law.
Second, this study explores the sensitivity of the fractional index of the fADE model to the variation of particle sizes and sediment settling velocities, based on experimental data collected from the literatures.
Finally, empirical formulas are developed to relate the fractional derivative order to particle size and sediment settling velocity.
These formulas offer river engineers a substitutive way to estimate the fractional derivative order in the fADE model.
American Psychological Association (APA)
Nie, Shiqian& Sun, HongGuang& Zhang, Yong& Chen, Dong& Chen, Wen& Chen, Li…[et al.]. 2017. Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1151537
Modern Language Association (MLA)
Nie, Shiqian…[et al.]. Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1151537
American Medical Association (AMA)
Nie, Shiqian& Sun, HongGuang& Zhang, Yong& Chen, Dong& Chen, Wen& Chen, Li…[et al.]. Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1151537
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151537