流体中污染物对轴对称物体的扩散模型及其简化研究

在建立静止流体和运动流体中污染物对每种常见的具有轴对称物体吸收表面的扩散模型的简化计算公式时,首先给出了相应问题的扩散模型级数解.简化扩散模型的理论依据是浓度服从误差函数分布和叠加原理.把静止介质中污染物对方形容器、球体和柱体的扩散以及流动介质中污染物对矩形管、圆形管等常见轴对称体壁面的扩散的浓度分布均简化为简单的计算公式.

Simplified pollutant-diffusing model for axial symmetrical objects in fluid

This paper is aimed at simplifying the simulated models of the pollutant-diffusion of the axial symmetrical objects commonly met in practice both in the static and the moving fluids under the assumption of the absorption wall. A series of solution are given to the diffusion equation for each kind of the pollutant diffusion on the axial symmetrical objects before the simplified formula is established to indicate the complexity of the calculation of the concentration distribution. For this purpose, the author introduces the idea of concentration distribution into the pollutant diffusion on a vertical absorption wall of the inside rectangular tank in an infinite static fluid first. It can be found by using the principle of superposition that the concentration distribution in the rectangular tank follows the error function. As a result, it can further be deduced that the concentration distribution of the pollutant diffusion on the surface of the spheroid in the static fluid should be the function of , thus obtaining the precise solution of the diffusion function of the pollutant diffusion on the spherical surfaces. The simplified result of this solution is just the distribution function error. The above method can also be used to simplify the pollutant diffusion models on the axial symmetrical objects in the flowing fluid. And consequently, the simplified formulae were developed for predicting the concentration distribution of the pollutant diffusions on the common axial symmetrical objects, such as the rectangular tank, spheroid and cylinder in the static fluid, as well as the rectangular duct or the cylindrical tube in the moving fluid.