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Open AccessArticle

Numerical Simulation of the Interaction between Phosphorus and Sediment Based on the Modified Langmuir Equation

by Pengjie Hu 1,2, Lingling Wang 1,2,*, Zhiwei Li 1,2, Hai Zhu 1,2 and Hongwu Tang 1,2
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, China
College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China
Author to whom correspondence should be addressed.
Water 2018, 10(7), 840;
Received: 23 May 2018 / Revised: 21 June 2018 / Accepted: 22 June 2018 / Published: 25 June 2018
(This article belongs to the Special Issue Eutrophication Management: Monitoring and Control)
Phosphorus is the primary factor that limits eutrophication of surface waters in aquatic environments. Sediment particles have a strong affinity to phosphorus due to the high specific surface areas and surface active sites. In this paper, a numerical model containing hydrodynamics, sediment, and phosphorus module based on improved Langmuir equation is established, where the processes of adsorption and desorption are considered. Through the statistical analysis of the physical experiment data, the fitting formulas of two important parameters in the Langmuir equation are obtained, which are the adsorption coefficient, ka, and the ratio k between the adsorption coefficient and the desorption coefficient. In order to simulate the experimental flume and get a constant and uniform water flow, a periodical numerical flume is built by adding a streamwise body force, Fx. The adsorbed phosphorus by sediment and the dissolved phosphorus in the water are separately added into the Advection Diffusion equation as a source term to simulate the interaction between them. The result of the numerical model turns out to be well matched with that of the physical experiment and can thus provide the basis for further analysis. With the application of the numerical model to some new and relative cases, the conclusion will be drawn through an afterwards analysis. The concentration of dissolved phosphorus proves to be unevenly distributed along the depth and the maximum value approximately appears in the 3/4 water depth because both the high velocity in the top layer and the high turbulence intensity in the bottom layer can promote sediment adsorption on phosphorus. View Full-Text
Keywords: sediment; phosphorus; numerical simulation; Langmuir equation; Huaihe River sediment; phosphorus; numerical simulation; Langmuir equation; Huaihe River
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Hu, P.; Wang, L.; Li, Z.; Zhu, H.; Tang, H. Numerical Simulation of the Interaction between Phosphorus and Sediment Based on the Modified Langmuir Equation. Water 2018, 10, 840.

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