An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow

Subham Dhar; Nanda Poddar; Kajal Kumar Mondal

doi:10.1007/978-3-030-99792-2_29

An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow

Subham Dhar
, Nanda Poddar
, Kajal Kumar Mondal

Cooch Behar Panchanan Barma University

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

5 Citations (Scopus)

Abstract

The present research deals with an analytical solution of convection-diffusion equation which represents the water phase based superficial concentration in a vegetated wetland. Gill’s series expansion method is used to obtain the dispersion coefficient and mean concentration distribution of the settling particles. For the limiting case of vegetation factor, tortuosity and settling velocity, the dispersivity is compared with the earlier research work and an excellent agreement is achieved with them. Effects of settling velocity, tortuosity and vegetation factor, on the dispersion coefficient and mean concentration are observed. A physical application is performed to predict the critical length of the concentration cloud beyond the ecological safe level. It is seen that with the increment of settling velocity, the duration for safe level increases. Moreover, the study provides two important criteria for wastewater treatment namely critical length and duration of solute cloud in the wetland. The work may also be applicable to investigate the sedimentation process and flood damage control.

Original language	English
Title of host publication	Nonlinear Dynamics and Applications - Proceedings of the ICNDA 2022
Editors	Santo Banerjee, Asit Saha
Publisher	Springer Science and Business Media B.V.
Pages	339-349
Number of pages	11
ISBN (Print)	9783030997915
DOIs	https://doi.org/10.1007/978-3-030-99792-2_29
Publication status	Published - 2022
Externally published	Yes
Event	International Conference on Nonlinear Dynamics and Applications, ICNDA 2022 - Virtual, Online Duration: 9 Mar 2022 → 11 Mar 2022

Publication series

Name	Springer Proceedings in Complexity
ISSN (Print)	2213-8684
ISSN (Electronic)	2213-8692

Conference

Conference	International Conference on Nonlinear Dynamics and Applications, ICNDA 2022
City	Virtual, Online
Period	9/03/22 → 11/03/22

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 6 Clean Water and Sanitation
SDG 11 Sustainable Cities and Communities

Keywords

Critical length
Dispersion
Gill’s series expansion method
Settling velocity
Vegetated wetland

Access to Document

10.1007/978-3-030-99792-2_29

Cite this

Dhar, S., Poddar, N., & Mondal, K. K. (2022). An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow. In S. Banerjee, & A. Saha (Eds.), Nonlinear Dynamics and Applications - Proceedings of the ICNDA 2022 (pp. 339-349). (Springer Proceedings in Complexity). Springer Science and Business Media B.V.. https://doi.org/10.1007/978-3-030-99792-2_29

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title = "An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow",

abstract = "The present research deals with an analytical solution of convection-diffusion equation which represents the water phase based superficial concentration in a vegetated wetland. Gill{\textquoteright}s series expansion method is used to obtain the dispersion coefficient and mean concentration distribution of the settling particles. For the limiting case of vegetation factor, tortuosity and settling velocity, the dispersivity is compared with the earlier research work and an excellent agreement is achieved with them. Effects of settling velocity, tortuosity and vegetation factor, on the dispersion coefficient and mean concentration are observed. A physical application is performed to predict the critical length of the concentration cloud beyond the ecological safe level. It is seen that with the increment of settling velocity, the duration for safe level increases. Moreover, the study provides two important criteria for wastewater treatment namely critical length and duration of solute cloud in the wetland. The work may also be applicable to investigate the sedimentation process and flood damage control.",

keywords = "Critical length, Dispersion, Gill{\textquoteright}s series expansion method, Settling velocity, Vegetated wetland",

author = "Subham Dhar and Nanda Poddar and Mondal, \{Kajal Kumar\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; International Conference on Nonlinear Dynamics and Applications, ICNDA 2022 ; Conference date: 09-03-2022 Through 11-03-2022",

year = "2022",

doi = "10.1007/978-3-030-99792-2\_29",

language = "English",

isbn = "9783030997915",

series = "Springer Proceedings in Complexity",

publisher = "Springer Science and Business Media B.V.",

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editor = "Santo Banerjee and Asit Saha",

booktitle = "Nonlinear Dynamics and Applications - Proceedings of the ICNDA 2022",

}

Dhar, S, Poddar, N & Mondal, KK 2022, An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow. in S Banerjee & A Saha (eds), Nonlinear Dynamics and Applications - Proceedings of the ICNDA 2022. Springer Proceedings in Complexity, Springer Science and Business Media B.V., pp. 339-349, International Conference on Nonlinear Dynamics and Applications, ICNDA 2022, Virtual, Online, 9/03/22. https://doi.org/10.1007/978-3-030-99792-2_29

An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow. / Dhar, Subham; Poddar, Nanda; Mondal, Kajal Kumar.
Nonlinear Dynamics and Applications - Proceedings of the ICNDA 2022. ed. / Santo Banerjee; Asit Saha. Springer Science and Business Media B.V., 2022. p. 339-349 (Springer Proceedings in Complexity).

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

TY - GEN

T1 - An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow

AU - Dhar, Subham

AU - Poddar, Nanda

AU - Mondal, Kajal Kumar

PY - 2022

Y1 - 2022

N2 - The present research deals with an analytical solution of convection-diffusion equation which represents the water phase based superficial concentration in a vegetated wetland. Gill’s series expansion method is used to obtain the dispersion coefficient and mean concentration distribution of the settling particles. For the limiting case of vegetation factor, tortuosity and settling velocity, the dispersivity is compared with the earlier research work and an excellent agreement is achieved with them. Effects of settling velocity, tortuosity and vegetation factor, on the dispersion coefficient and mean concentration are observed. A physical application is performed to predict the critical length of the concentration cloud beyond the ecological safe level. It is seen that with the increment of settling velocity, the duration for safe level increases. Moreover, the study provides two important criteria for wastewater treatment namely critical length and duration of solute cloud in the wetland. The work may also be applicable to investigate the sedimentation process and flood damage control.

AB - The present research deals with an analytical solution of convection-diffusion equation which represents the water phase based superficial concentration in a vegetated wetland. Gill’s series expansion method is used to obtain the dispersion coefficient and mean concentration distribution of the settling particles. For the limiting case of vegetation factor, tortuosity and settling velocity, the dispersivity is compared with the earlier research work and an excellent agreement is achieved with them. Effects of settling velocity, tortuosity and vegetation factor, on the dispersion coefficient and mean concentration are observed. A physical application is performed to predict the critical length of the concentration cloud beyond the ecological safe level. It is seen that with the increment of settling velocity, the duration for safe level increases. Moreover, the study provides two important criteria for wastewater treatment namely critical length and duration of solute cloud in the wetland. The work may also be applicable to investigate the sedimentation process and flood damage control.

KW - Critical length

KW - Dispersion

KW - Gill’s series expansion method

KW - Settling velocity

KW - Vegetated wetland

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DO - 10.1007/978-3-030-99792-2_29

M3 - Conference Publication

SN - 9783030997915

T3 - Springer Proceedings in Complexity

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EP - 349

BT - Nonlinear Dynamics and Applications - Proceedings of the ICNDA 2022

A2 - Banerjee, Santo

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PB - Springer Science and Business Media B.V.

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Y2 - 9 March 2022 through 11 March 2022

ER -

An Analytical Approach to Study the Environmental Transport of Fine Settling Particles in a Wetland Flow

Abstract

Publication series

Conference

UN SDGs

Keywords

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