Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches

Anton Purnama; Huda A. Al-Maamari; Easwaran Balakrishnan

doi:10.1007/978-3-319-99719-3_36

Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches

Anton Purnama^*, Huda A. Al-Maamari, Easwaran Balakrishnan

^*Corresponding author for this work

Mathematics & Statistics

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

Abstract

A far field modeling study is presented to evaluate the effect of erosion of a sloping sandy beach upon the mixing and dispersion of the effluent discharges from a multiport diffuser. The two-dimensional advection-diffusion equation with multiple point sources is analytically solved and illustrated graphically by plotting contours of solution to replicate the interaction and merging of the nearshore effluent discharged plumes in coastal waters. The compounded shoreline concentration is asymptotically approximated and used as an environmental impact measure to assess how well the effluent plumes are diluted downstream. It is found that the significant increase in maximum concentration value due to erosion can be reduced by adding more ports and extending the diffuser pipe. The result demonstrates that a modern marine outfall system equipped with multiport diffusers does produce lower potential environmental impacts.

Original language	English
Title of host publication	Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference
Editors	Herb Kunze, D. Marc Kilgour, Roman Makarov, Roderick Melnik, Xu Wang
Publisher	Springer New York LLC
Pages	397-407
Number of pages	11
Volume	259
ISBN (Print)	9783319997186
DOIs	https://doi.org/10.1007/978-3-319-99719-3_36
Publication status	Published - 2018
Event	International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017 - Waterloo, Canada Duration: Aug 20 2017 → Aug 25 2017

Other

Other	International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017
Country/Territory	Canada
City	Waterloo
Period	8/20/17 → 8/25/17

Keywords

Advection diffusion equation
Far field model
Multiport diffuser
Sea outfall
Shoreline concentration

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-319-99719-3_36

Cite this

Purnama, A., Al-Maamari, H. A., & Balakrishnan, E. (2018). Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. In H. Kunze, D. M. Kilgour, R. Makarov, R. Melnik, & X. Wang (Eds.), Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference (Vol. 259, pp. 397-407). Springer New York LLC. https://doi.org/10.1007/978-3-319-99719-3_36

Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. / Purnama, Anton; Al-Maamari, Huda A.; Balakrishnan, Easwaran.

Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. ed. / Herb Kunze; D. Marc Kilgour; Roman Makarov; Roderick Melnik; Xu Wang. Vol. 259 Springer New York LLC, 2018. p. 397-407.

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

Purnama, A, Al-Maamari, HA & Balakrishnan, E 2018, Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches. in H Kunze, DM Kilgour, R Makarov, R Melnik & X Wang (eds), Recent Advances in Mathematical and Statistical Methods - IV AMMCS International Conference. vol. 259, Springer New York LLC, pp. 397-407, International conference on Applied Mathematics, Modeling and Computational Science, AMMCS 2017, Waterloo, Canada, 8/20/17. https://doi.org/10.1007/978-3-319-99719-3_36

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N2 - A far field modeling study is presented to evaluate the effect of erosion of a sloping sandy beach upon the mixing and dispersion of the effluent discharges from a multiport diffuser. The two-dimensional advection-diffusion equation with multiple point sources is analytically solved and illustrated graphically by plotting contours of solution to replicate the interaction and merging of the nearshore effluent discharged plumes in coastal waters. The compounded shoreline concentration is asymptotically approximated and used as an environmental impact measure to assess how well the effluent plumes are diluted downstream. It is found that the significant increase in maximum concentration value due to erosion can be reduced by adding more ports and extending the diffuser pipe. The result demonstrates that a modern marine outfall system equipped with multiport diffusers does produce lower potential environmental impacts.

AB - A far field modeling study is presented to evaluate the effect of erosion of a sloping sandy beach upon the mixing and dispersion of the effluent discharges from a multiport diffuser. The two-dimensional advection-diffusion equation with multiple point sources is analytically solved and illustrated graphically by plotting contours of solution to replicate the interaction and merging of the nearshore effluent discharged plumes in coastal waters. The compounded shoreline concentration is asymptotically approximated and used as an environmental impact measure to assess how well the effluent plumes are diluted downstream. It is found that the significant increase in maximum concentration value due to erosion can be reduced by adding more ports and extending the diffuser pipe. The result demonstrates that a modern marine outfall system equipped with multiport diffusers does produce lower potential environmental impacts.

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Spreading of Nearshore Effluent Discharges on Eroded Sloping Sandy Beaches

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