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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

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
State	Published - 1 Jan 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

Keywords

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

ASJC Scopus subject areas

Applied Mathematics
Modeling and Simulation
Computer Science Applications

UN SDGs

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

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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}",

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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/Report/Conference proceeding › Conference contribution › peer-review

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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 - 2022/1/1

Y1 - 2022/1/1

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.

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KW - Dispersion

KW - Gill’s series expansion method

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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

Keywords

ASJC Scopus subject areas

UN SDGs

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