Determination of water quality in uniform channel using homotopy analysis method

Abstract

In recent years, the interest in preserving the quality and quantity of water is gaining widespread attention worldwide with current increasing trends in population growth and sosio-economic development. So, it is important for us to check the water quality by knowing the dispersion of pollutant in water. The Homotopy analysis method (HAM) is used for solving one-dimensional convection-diffusion equation with variable coefficients arising in the mathematical modeling of dispersion of pollutants in water. By solving the convection-diffusion equation, the Homotopy analysis method (HAM) is considered for assessment of the chemical oxygen demand (COD) in a river. The HAM is used to compute the concentration of the pollutant for variable inputs. From the result obtained, we can see that the COD concentration along a uniform channel is decreasing. Therefore, the COD concentration can be used in order to check the water quality along the river.