Analytical Solution for Periodic Pollutant Emissions in Two-dimensional Advection Diffusion Equation
In order to better understand and manage the impact of periodic pollutant emissions on the natural environment,the analytical solution for the periodic emissions of pollutants in the soil layer within the two-dimensional advection diffusion equation for heavy metals was investigated.Based on the two-dimensional model equation,this paper obtains an analytical solution with a time-dependent periodic function for source-sink terms by utilizing Laplace transform techniques.The results emphasize a significant decrease in heavy metal concentration due to periodic emissions and highlight the influence of periodic emissions on concentration peaks.This study underscores the importance of source-sink interactions in predicting and managing the control of heavy metal pollution.Finally,the research provides a foundation for further exploration of periodic emission issues within the two-dimensional advection diffusion equation.