*Department of Mathematics, Assistant Professor, Shivaji Arts, Commerce and Science College, Kannad, Dist. Aurangabad (M.S.), India. Pin Code: 431103
**Department of Mathematics, Associate Professor, Deogiri College, Aurangabad, Dist. Aurangabad (M.S.), India. Pin Code: 431005
Online published on 3 December, 2019.
The paper provides a review air quality mathematical modeling of the advection diffusion equation with analytical solutions. In advection diffusion equation, we write the wind velocity vector and concentration field as the sum of the average velocity (u, C) plus the fluctuating (turbulent) components(u‘, C‘). First consider the dispersion of an air pollutant in the atmosphere under steady state condition by neglecting the diffusion in downwind direction, then we present solution of advection diffusion equation when dispersion of an air pollutant with constant wind velocity and constant removal rate. We also described Gaussian plume model with solution for the variation of concentration of air pollutants and solution of advection diffusion equation for variable and constant eddy diffusivity and wind speed.
Eddy Diffusivity, Advection Diffusion Equation, Analytical Solutions, Steady-State, Wind Velocity
