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Longitudinal dispersion coefficients of submerged vegetation flow under the effect of surface wind

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Abstract

The longitudinal dispersion coefficient is an important index for contaminant transports in rivers. Investigating it by using an analytical approach is conducive to obtain its expression with physical meanings and wide application ranges. However, the analytical solutions are extremely complex for subsequent derivations when many influencing factors, such as benthic vegetation and surface wind, are considered. This study combines turbulent flow theory and Biot’s theory for poroelasticity into a two-layer flow model and acquires the analytical solutions of velocity. A database is generated from the analytical solutions to search a more concise expression of velocity through genetic programming. A formula for longitudinal dispersion coefficients of submerged vegetation flow under the effect of surface wind is deduced on the basis of this expression. Calculated coefficients from the formula are compared with the experimental coefficients from the model and real vegetation to show its validity. The formula indicates that the longitudinal dispersion coefficients are mainly affected by turbulent effect, vegetation height, and surface wind. The growth of vegetation height can weaken the influence of surface wind on longitudinal dispersion coefficient.

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Funding

This study was financially supported by the National Natural Science Foundation of China (Grant Nos.52020105006, 11872285, 51879199, and 51679170).

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Authors and Affiliations

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, Hubei, China

    Haoze Fang, Zhonghua Yang, Huilin Wang & Yujie Fan

Authors
  1. Haoze Fang
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  2. Zhonghua Yang
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  3. Huilin Wang
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  4. Yujie Fan
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Corresponding author

Correspondence to Zhonghua Yang.

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The authors declare that they have no conflict of interest.

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Responsible Editor: Marcus Schulz

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Author contributions

Data curation, formal analysis, and investigation: Haoze Fang. Conceptualization, funding acquisition, and resources: Zhonghua Yang. Project administration and writing–original draft: Huilin Wang. Validation and visualization: Yujie Fan.

Data availability

The datasets used during the current study are available from the corresponding author on reasonable request.

Both submerged vegetation and surface wind are included in the consideration. The analytical solutions are combined with genetic programming. The impact of vegetation is subdivided into height and permeability for discussion.

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Fang, H., Yang, Z., Wang, H. et al. Longitudinal dispersion coefficients of submerged vegetation flow under the effect of surface wind. Environ Sci Pollut Res 28, 12817–12830 (2021). https://doi.org/10.1007/s11356-020-11064-9

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  • DOI: https://doi.org/10.1007/s11356-020-11064-9

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