THERMAL SCIENCE

International Scientific Journal

Shiqian Nie

,

HongGuang Sun

,

Xiaoting Liu

,

Ze Wang

,

Mingzhao Xie

FRACTAL DERIVATIVE MODEL FOR THE TRANSPORT OF THE SUSPENDED SEDIMENT IN UNSTEADY FLOWS

ABSTRACT
This paper makes an attempt to develop a Hausdorff fractal derivative model for describing the vertical distribution of suspended sediment in unsteady flow. The index of Hausdorff fractal derivative depends on the spatial location and the temporal moment in sediment transport. We also derive the approximate solution of the Hausdorff fractal derivative advection-dispersion equation model for the suspended sediment concentration distribution, to simulate the dynamics procedure of suspended concentration. Numerical simulation results verify that the Hausdorff fractal derivative model provides a good agreement with the experimental data, which implies that the Hausdorff fractal derivative model can serve as a candidate to describe the vertical distribution of suspended sediment concentration in unsteady flow.
KEYWORDS
Hausdorff fractal derivative, suspended sediment, scaling transformation, advection-dispersion
PAPER SUBMITTED: 2017-07-17
PAPER REVISED: 2017-11-24
PAPER ACCEPTED: 2017-11-27
PUBLISHED ONLINE: 2018-01-07
DOI REFERENCE: https://doi.org/10.2298/TSCI170717276N
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 1, PAGES [S109 - S115]
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Fractal derivative model for the transport of the suspended sediment in unsteady flows

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