井巷紊流传质的数学模型及紊流弥散系数

本文根据质量守恒定律、Fick第一扩散定律和Boussinesq假设导出了井巷污染物紊流传质的通用数学模型及纵向(?)散模型。针对井巷各种污染源的不同释放规律给出了九种源函数,从理论上导出了井巷污染物紊流传质过程的紊流(?)散系数,其大小与井巷摩擦阻力系数的平方根、井巷水力半径和断面平均风速成正比,还给出了弥散模型的通解,指出井巷紊流传质的实验研究必须满足Reynolds相似。

Mathematical Model of Turbulent Mass Transfer and Coefficient of Turbulent Dispersion for Mine Ventilation

Develops a general mathematical model of the turbulent mass transfer of mine pollutant on the basis of mass conservation, Fick's first law of diffusion and Boussinesq's hypothesis. For practical use a longitudinal dispersion model is then simplified using pollutant dispersion to describe the averaging process of pollutant on the whole cross section of tunnel, and its solution retaing to the emission forms of pollution source is given Analyzes the different types5 of pollution source as viewed from their emission forms and, so gives nine kinds of source function of pollutant. As a result the coefficient of turbulent dispe-rsion of pollutant in mass transfer is offered theoretically and its magnitude is found to be proportional to the square root of frictional resistance coefficient, the radius of tunnel and the mean flow velocity, It is necessary that such an experimental research for mine ventilation shoud satisfy the Reynolds analogy.