Analytical solution for concentration distribution in an open channel flow with phase exchange kinetics

Barik Swarup; Dalal D. C.

doi:10.1007/s10409-021-09037-y

Volume 38 Issue 3

Feb 2022

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JOURNAL OF MECHANICAL ENGINEERING > 2022 > 38(3): 321506.

S. Barik, and D. C. Dalal, Analytical solution for concentration distribution in an open channel flow with phase exchange kinetics, Acta Mech. Sin. 38, 321506 (2022), http://www.w3.org/1999/xlink' xlink:href='https://doi.org/10.1007/s10409-021-09037-y'>https://doi.org/10.1007/s10409-021-09037-y

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S. Barik, and D. C. Dalal, Analytical solution for concentration distribution in an open channel flow with phase exchange kinetics, Acta Mech. Sin. 38, 321506 (2022), http://www.w3.org/1999/xlink" xlink:href="https://doi.org/10.1007/s10409-021-09037-y">https://doi.org/10.1007/s10409-021-09037-y

Citation:

S. Barik, and D. C. Dalal, Analytical solution for concentration distribution in an open channel flow with phase exchange kinetics, Acta Mech. Sin. 38, 321506 (2022), http://www.w3.org/1999/xlink" xlink:href="https://doi.org/10.1007/s10409-021-09037-y">https://doi.org/10.1007/s10409-021-09037-y

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Analytical solution for concentration distribution in an open channel flow with phase exchange kinetics

doi: 10.1007/s10409-021-09037-y

Barik Swarup^{1, 2,*
,
,},
Dalal D. C.¹

1.
Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, 781039, India;
2.
Department of Mathematics, SRM Institute of Science and Technology, Chennai, 603203, India;

More Information

Corresponding author: Barik Swarup, E-mail address: swarupb@srmist.edu.in (Swarup Barik)
Accepted Date: 08 Nov 2021

Available Online: 01 Aug 2022

Publish Date: 28 Jan 2022
Issue Publish Date: 01 Mar 2022

Abstract

Abstract

This study is about an analytical attempt that explores the two-dimensional concentration distribution of a solute in an open channel flow. The solute undergoes reversible sorption at the channel bed. The method of multiple scales is used to find the two-dimensional concentration distribution, which is important for modern day application in industry, environmental risk assessment, etc. Study deduces an analytic expression of two-dimensional concentration distribution for an open channel flow with sorptive channel bed. Effects of retention parameter, Damkohler number on the solute dispersion are also discussed in this paper. Results reveal that slow or strong kinetics (small value of Damkohler number) increases solute dispersion. It is also observed that for slow phase exchange kinetics between bulk flow and small retentive channel bed, solute concentration distribution will uniform faster than their inert counterpart.
- Multi-scale method,
- Dispersion coefficient,
- Two-dimensional concentration distribution,
- Phase exchange kinetics

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References

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Analytical solution for concentration distribution in an open channel flow with phase exchange kinetics

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