污染物周期性排放的二维平流扩散方程解析解
Analytical Solution for Periodic Pollutant Emissions in Two-dimensional Advection Diffusion Equation
梁瑞时 1张有存 1廖海燕1
作者信息
- 1. 韶关学院 数学与统计学院,广东 韶关 512005
- 折叠
摘要
为更好地理解和管理污染物周期性排放对自然环境的影响,研究了重金属污染物在土壤层呈周期性排放的二维平流扩散方程中的解析解问题.基于二维模型方程,利用拉普拉斯变换技术,得到源汇项以周期性函数的时间依赖的解析解.结果强调了重金属浓度呈周期性排放的显著下降,并强调了周期性排放对浓度峰值的影响及源汇作用在预测和管理控制重金属污染方面的重要性,为进一步深入研究二维平流扩散方程中的周期性排放问题提供基础.
Abstract
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.
关键词
拉普拉斯变换/周期性排放/二维平流扩散/解析解/重金属Key words
Laplace transform/periodic emissions/two-dimensional advection diffusion/analytical solution/heavy metals引用本文复制引用
出版年
2024
NETL
NSTL
维普
万方数据