Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model

doi:10.1155/2017/5481531

	Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model
	Nie, Shiqian 1,2; Sun, HongGuang 2; Zhang, Yong 3; Chen, Dong 4; Chen, Wen 2; Chen, Li 5; Schaefer, Sydney 3
刊名	DISCRETE DYNAMICS IN NATURE AND SOCIETY
	2017
页码	11
ISSN号	1026-0226
DOI	10.1155/2017/5481531
通讯作者	Sun, HongGuang(shg@hhu.edu.cn)
英文摘要	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.
资助项目	National Natural Science Foundation of China[11572112] ; National Natural Science Foundation of China[41628202] ; National Natural Science Foundation of China[11528205]
WOS关键词	OPEN-CHANNEL FLOWS ; 2-PHASE FLOW ; LADEN FLOWS ; KINETIC-THEORY ; DISPERSION-EQUATION ; LOAD TRANSPORT ; TURBULENT ; DILUTE ; VELOCITY ; PROFILE
WOS研究方向	Mathematics ; Science & Technology - Other Topics
语种	英语
出版者	HINDAWI LTD
WOS记录号	WOS:000404398100001
资助机构	National Natural Science Foundation of China
内容类型	期刊论文
源URL	[http://ir.igsnrr.ac.cn/handle/311030/63221]
专题	中国科学院地理科学与资源研究所
通讯作者	Sun, HongGuang
作者单位	1.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
推荐引用方式 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.