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Based on the analytic solution of diffusion equation and the turbulent diffusion characteristic of smoke cloud, the turbulent diffusion model is established. 根据扩散方程的解析解法及烟幕云团的湍流扩散特性，建立了烟幕云团的湍流扩散模型；
A mathematical model of fume diffusion in welding process was founded by considering welding arc as a spot source of generating fume and supplying the turbulent diffusion theory. 把焊接电弧作为一个发尘点源，应用大气湍流扩散理论，建立了焊接过程中烟尘扩散的数学模型。
On the other hand, the diffusion is corresponded with coefficients of turbulent diffusion and wind distribution, the range of horizontal diffusion is greater than that of vertical diffusion. 催化剂的扩散与湍流扩散系数、风场分布相对应，水平扩散范围大于垂直扩散范围。