A Study of Mathematical Model for Pollutant Concentration and Dissolved Oxygen Concentration in the Kshipra River (India)

A. Jain¹ , V. H. Badshah² , V. Gupta³

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.56-60, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.5660

Online published on Apr 30, 2019

Copyright © A. Jain, V. H. Badshah, V. Gupta . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper addresses a mathematical model for pollutant and dissolved oxygen concentrations in a river. The physical and mass conservation laws governing the interaction of pollutant and dissolved oxygen are expressed as non-linear one-dimensional, time-dependent, coupled partial differential equations and are solved numerically, for zero-diffusion case, using fourth-order Runge-Kutta method. Time required for the pollutant to decay completely and dissolved oxygen to reach its saturation level is obtained graphically through simulation study. A particular case of the River Kshipra (Madhya Pradesh, India) is studied in detail. The result indicates the self-purification ability of the river at four different monitoring stations along its stretch in Ujjain city, using some standard parameters of water quality. The study is motivated by the pathetic condition of the river, as it receives large amount of untreated sewage daily. This study provides a better understanding of the complex phenomena of pollution transportation in the River Kshipra.

Key-Words / Index Term :
Dissolved Oxygen, Biochemical Oxygen Demand, Diffusion, Advection, Runge-Kutta Method

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