Hankel transform was employed to solve the two-dimensional steady state advection–diffusion equation considering a continuous point source with vertical eddy diffusivity as a power law of vertical height and downwind distance, also, taking wind speed as power law. The analytical model was evaluated and compared with Hanford diffusion experiment in stable conditions and Copenhagen diffusion experiment in unstable and neutral conditions which was done by reducing the general analytical model to a one with linear vertical eddy diffusivity and constant downwind speed profile. Comparison with other analytical models was held. The presented model predictions show a good agreement with observations and lay inside a factor of two with observed data of both Hanford and Copenhagen diffusion experiments.

中文翻译：

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具有可变垂直涡扩散系数和风速的对流-扩散方程的解析解使用汉克尔变换

采用汉克尔变换求解二维稳态平流扩散方程，考虑以垂直涡扩散系数为垂直高度和顺风距离的幂律的连续点源，并以风速为幂律。对分析模型进行了评估并与稳定条件下的 Hanford 扩散实验和不稳定和中性条件下的哥本哈根扩散实验进行了比较，后者是通过将一般分析模型简化为具有线性垂直涡扩散系数和恒定顺风速剖面的模型来完成的。与其他分析模型进行了比较。所提出的模型预测显示出与观测结果的良好一致性，并且与汉福德和哥本哈根扩散实验的观测数据之间的系数为两倍。