中文摘要：

针对高斯模型不能计算有限时间泄漏扩散场浓度的缺陷，研究并得到了储罐系统制冷剂泄漏时质量泄漏速度与时间的关系式，建立了制冷剂一维、三维扩散数学物理模型，通过求解模型解析解和数值解，解决了制冷剂储罐有限时间泄漏扩散的浓度分布问题，比较了点源有限时间泄漏扩散模型和高斯烟雨模型的精度，结果表明，前者更能反映泄漏制冷剂的实际扩散过程．

英文摘要：

To solve the problem that the Gaussian model could not calculate the concentration of finite-time diffusion, this paper obtained the relations between the mass leakage velocity of refrigerants and time when leakages happened to a tank. One-dimensional and three-dimensional physical and mathematical diffusion models of refrigerants were put forward. The concentration of refrigerants after finite-time release and diffusion was gained through the numerical and analytical solutions of the model. The precision of Gaussian model was compared with that of the model put forward in this paper. And the calculated results showed that the latter described the actual diffusion duration better than the former.