中文摘要：

为了对旋流气浮过程中的动力学行为和气浮分离效率进行准确预测，在借鉴重力场下气泡颗粒碰撞模型建立方法的基础上，考虑旋流气浮的特点，首次将表征流态的雷诺数引入到各种碰撞过程中，推导建立了旋流气浮接触区的气泡颗粒碰撞效率模型．理论模型显示：低强度旋流气浮工艺中气泡颗粒的各种碰撞效应主要与雷诺数、气泡和颗粒直径有关．当颗粒直径接近于分子直径时，即直径为1nm时。碰撞主要受扩散碰撞所控制；当颗粒在1～10nm之间时，碰撞主要受扩散碰撞和离心沉降效应的共同作用所控制；当颗粒在10hm～1μm时，碰撞主要受离心沉降效应所控制；当颗粒大于1μm时，碰撞将受截留效应、离心沉降效应和惯性效应联合作用．该模型能够准确预测旋流气浮过程中的动力学行为和分离效率，为旋流气浮工艺的实际应用提供一定的理论依据．

英文摘要：

In order to forecast the dynamics and separation efficiency of cyclone flotation processes, a new collision efficiency model of cyclone flotation, which bases on the collision modeling methods in gravity field and the characteristics of cyclone flotation, has been developed by introducing Reynolds number （Re） into all types of collision processes for the first time, such as interception, inertia, diffusion and centrifugal sedimentation in the contact zone. This model indicates that all the collision effect depends on Re, bubble size and particle size. When the particle size is lower than 1 nm, which is close to a molecular diameter, the collision efficiency is mostly controlled by the diffusion collision. When the particle size is between lnm and 10 nm, the collision efficiency is controlled by both the diffusion collision and the centrifugal settling. When the particle size is between 10nm and 1 μm, the collision efficiency is mostly controlled by the centrifugal settling. However, when the particle size is above 1 μm, the collision efficiency is controlled by the combined effects of interception, centrifugal settling, and inertia effect. This model can perfectly forecast the dynamics and separation efficiency of cyclone flotation processes, which can supply a theory basis for practical application of cyclone flotation.