Modeling the Process of Critical Exhaustion of Oxygen in a River Caused by Exponential Source of Pollution

Article Sidebar

PDF
DOI: https://doi.org/10.28924/2291-8639-22-2024-198
Published: Oct 31, 2024
Cite as:
Naowarat Manitcharoen, Aekabut Sirijampa, Tinnaluk Rutjanisarakul, Modeling the Process of Critical Exhaustion of Oxygen in a River Caused by Exponential Source of Pollution, Int. J. Anal. Appl., 22 (2024), 198.

Main Article Content

Naowarat Manitcharoen, Aekabut Sirijampa, Tinnaluk Rutjanisarakul

Abstract

The analysis and improvement of the river's change dynamics are critical to the global investigation of water quality issues. This study investigates the mathematical model representation of one dimension of a pair of advection-dispersion equations. These equations pertain to the concentrations of both pollutants and dissolved oxygen. Certain terms, which demonstrate an increase in the decay rate of pollution through exponential sources and assume a decreasing river's cross-sectional measurement, lead to the diminished oxygen levels observed in this study. The crucial points are demonstrated using both analytical and numerical analysis of the steady-state model, which allows for examining multiple situations about the elimination of oxygen and aquatic survival in a river with severe pollution.

Article Details

References

  1. W. Simachaya, Water Quality Monitoring and Modeling Application in Thailand, in: Proceeding on 3rd World Water Forum Session Water Quality Monitoring and Modeling-The Present Situation and Partnership in the Future, The United Nation University Center in Tokyo, 1–12, (2000).
  2. T. Yolthantham, Water Quality Monitoring and Water Quality Situation in Thailand, in: Proceedings of the 3rd WEPA International Forum on Water Environmental Governance in Asia, Putrajaya, Malaysia, 112–121, (2008).
  3. S. Chapra, Surface Water-Quality Modeling, McGraw-Hill Series in Water Resources and Environmental Engineering, Waveland Press, New York, 2008.
  4. N. Manitcharoen, B. Pimpunchat, Analytical and Numerical Solutions of Pollution Concentration with Uniformly and Exponentially Increasing Forms of Sources, J. Appl. Math. 2020 (2020), 9504835. https://doi.org/10.1155/2020/9504835.
  5. N. Manitcharoen, B. Pimpunchat, P. Sattayatham, Water Quality Analysis for the Depletion of Dissolved Oxygen Due to Exponentially Increasing Form of Pollution Sources, J. Appl. Math. 2020 (2020), 9085981. https://doi.org/10.1155/2020/9085981.
  6. B. Pimpunchat, W.L. Sweatman, G.C. Wake, W. Triampo, A. Parshotam, A Mathematical Model for Pollution in a River and Its Remediation by Aeration, Appl. Math. Lett. 22 (2009), 304–308. https://doi.org/10.1016/j.aml.2008.03.026.
  7. L.V. Fausett, Applied Numerical Analysis Using MATLAB, Pearson/Prentice Hall, Upper Saddle River, 2008.