IGSNRR OpenIR
Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model
Nie, Shiqian1,2; Sun, HongGuang2; Zhang, Yong3; Chen, Dong4; Chen, Wen2; Chen, Li5; Schaefer, Sydney3
2017
Source PublicationDISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN1026-0226
Pages11
Corresponding AuthorSun, HongGuang(shg@hhu.edu.cn)
AbstractThe 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.
DOI10.1155/2017/5481531
WOS KeywordOPEN-CHANNEL FLOWS ; 2-PHASE FLOW ; LADEN FLOWS ; KINETIC-THEORY ; DISPERSION-EQUATION ; LOAD TRANSPORT ; TURBULENT ; DILUTE ; VELOCITY ; PROFILE
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11572112] ; National Natural Science Foundation of China[41628202] ; National Natural Science Foundation of China[11528205]
Funding OrganizationNational Natural Science Foundation of China
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000404398100001
PublisherHINDAWI LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.igsnrr.ac.cn/handle/311030/63222
Collection中国科学院地理科学与资源研究所
Corresponding AuthorSun, HongGuang
Affiliation1.Hohai Univ, Coll Water Conservancy & Hydropower Engn, Nanjing 210098, Jiangsu, Peoples R China
2.Hohai Univ, Coll Mech & Mat, Inst Soft Matter Mech, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China
3.Univ Alabama, Dept Geol Sci, Tuscaloosa, AL 35487 USA
4.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, Key Lab Water Cycle & Related Land Surface Proc, Beijing 100101, Peoples R China
5.Desert Res Inst, Div Hydrol Sci, Las Vegas, NV 89119 USA
Recommended Citation
GB/T 7714
Nie, Shiqian,Sun, HongGuang,Zhang, Yong,et al. Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2017:11.
APA Nie, Shiqian.,Sun, HongGuang.,Zhang, Yong.,Chen, Dong.,Chen, Wen.,...&Schaefer, Sydney.(2017).Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model.DISCRETE DYNAMICS IN NATURE AND SOCIETY,11.
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 (2017):11.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Nie, Shiqian]'s Articles
[Sun, HongGuang]'s Articles
[Zhang, Yong]'s Articles
Baidu academic
Similar articles in Baidu academic
[Nie, Shiqian]'s Articles
[Sun, HongGuang]'s Articles
[Zhang, Yong]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Nie, Shiqian]'s Articles
[Sun, HongGuang]'s Articles
[Zhang, Yong]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.