Analytical and Numerical Solutions of Pollution Concentration with Uniformly and Exponentially Increasing Forms of Sources
Joint Authors
Manitcharoen, N.
Pimpunchat, B.
Source
Journal of Applied Mathematics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The study of pollution movement is an important basis for solving water quality problems, which is of vital importance in almost every country.
This research proposes the motion of flowing pollution by using a mathematical model in one-dimensional advection-dispersion equation which includes terms of decay and enlargement process.
We are assuming an added pollutant sources along the river in two cases: uniformly and exponentially increasing terms.
The unsteady state analytical solutions are obtained by using the Laplace transformation, and the finite difference technique is utilized for numerical solutions.
Solutions are compared by relative error values.
The result appears acceptable between the analytical and numerical solutions.
Varying the value of the rate of pollutant addition along the river (q) and the arbitrary constant of exponential pollution source term (λ) is displayed to explain the behavior of the incremental concentration.
It is shown that the concentration increases as q and λ increase, and the exponentially increasing pollution source is a suitable model for the behavior of incremental pollution along the river.
The results are presented and discussed graphically.
This work can be applied to other physical situations described by advection-dispersion phenomena which are affected by the increase of those source concentrations.
American Psychological Association (APA)
Manitcharoen, N.& Pimpunchat, B.. 2020. Analytical and Numerical Solutions of Pollution Concentration with Uniformly and Exponentially Increasing Forms of Sources. Journal of Applied Mathematics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1174609
Modern Language Association (MLA)
Manitcharoen, N.& Pimpunchat, B.. Analytical and Numerical Solutions of Pollution Concentration with Uniformly and Exponentially Increasing Forms of Sources. Journal of Applied Mathematics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1174609
American Medical Association (AMA)
Manitcharoen, N.& Pimpunchat, B.. Analytical and Numerical Solutions of Pollution Concentration with Uniformly and Exponentially Increasing Forms of Sources. Journal of Applied Mathematics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1174609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174609