摘要
简述了水中污染物分子扩散方程的发展过程及应用。通过讨论笛卡尔坐标系下污染物分子在水体中的扩散方程,运用质量守恒原理导出了柱面坐标系和球面坐标系下污染物分子在水体中扩散方程的表达式,并采用向量分析原理对导出的方程式进行了验证。结果表明,从质量守恒原理导出的表达式与从向量分析原理导出的方程式一致;运用推导出的公式可以更方便的对具有轴对称形和球对称形水域进行污染物数值模拟。
The development process and application of diffusion equation of pollutant molecular in water were stated briefly.Through discussing the diffusion equation of pollutant molecular in water under cartesian coordinate system,the expressions of diffusion equation of pollutant molecular in water under cylindrical and spherical coordinate systems were deduced by applying principle of mass conservation and the deduced equation was testified by using principle of vector analysis.The results indicated that the expression deduced from principle of mass conservation was identical with the equation deduced from principle of vector analysis;it was more convenient to realize numerical simulation of pollutant in axial and spherical symmetry water areas by using deduced equation.
出处
《安徽农业科学》
CAS
北大核心
2010年第20期10495-10498,共4页
Journal of Anhui Agricultural Sciences
基金
重庆交通大学研究生教育创新基金项目
关键词
水中污染物
柱面坐标系
球面坐标系
质量守恒
扩散方程
Pollutant in water
Cylindrical coordinate system
Spherical coordinate system
Mass conservation
Diffusion equation
