现有的浮选动力学物理逻辑模型有一级反应模型、二级反应模型(如赞尼格方程及别洛格拉卓夫方程等),一级反应模型又有哥利科夫模型、陈子鸣模型等。这些模型都能说明一定的问题,但在实际应用上也都遇到了一些麻烦。重要的问题是如何确定k=f(t)的函数关系。陈子鸣的研究对这一问题的解决作出了贡献。本文在研究已有文献的基础上,用解微分方程的方法导出了一个与陈子鸣模型略有不同的模型。当然,这个模型乃是上述诸人研究成果的必然产物。但作者仍希望它能把浮选动力学物理逻辑模型的研究工作向前推进一步。(一)推导设矿浆中有用矿物颗粒与气泡的捕集反应是(或主要是)以一级反应的形式进行,且在全部浮出过程中气泡的数质量保持不变,各矿粒的可浮性也保持恒定;令矿浆中有用矿物的浓度为C,则对此捕集过程可建立下列微分方程 The existing physical model of flotation kinetics has first-order reaction model, second-order reaction model (such as Zannig equation and Petro-Grofeff equation), the first-order reaction model has Gurkow model and Chen Ziming model. These models can explain some of the problems, but also encountered some problems in the practical application. The important question is how to determine the function of k = f (t). Chen Ziming’s research has contributed to the solution of this issue. Based on the existing literature, this paper derives a slightly different model from the Chen Ziming model by using the method of solving differential equations. Of course, this model is an inevitable result of the research done by the above-mentioned people. However, the author still hopes that it can take the research on the physical logic model of flotation kinetics one step further. (A) Derivation Set the collection of useful mineral particles and bubbles in the slurry reaction is (or mainly) in the form of a first-order reaction, and the number of bubbles in the whole floating process remains unchanged, the mineral particles can The buoyancy is also kept constant. If the concentration of useful minerals in the slurry is C, then the following differential equation can be established for this trapping process