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Effect of the bubble size on the dynamic adsorption of frothers and collectors In flotation

机译:浮选中气泡大小对起泡剂和捕收剂动态吸附的影响

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This paper presents an analysis on the dynamic adsorption of frothers and collectors onto air bubbles in flotation. The analysis was canied out using the theory on the surfactant transfer by diffusion and adsorption. The bubble size was considered when solving the diffusion equation for the dynamic surface excess. The adsorption kinetics was modelled employing the Langmuir adsorption isotherm and its extension with the inclusion of the lateral interaction of the adsorbed molecules (the Framkin adsorption isotherm). The numerical computation was applied to solve the governing equations. The dynamic adsorption of the surfactants was measured in terms of the dynamic surface tension for sodium dodecylbenzene sulphonate (SDBS) and Dowfroth 250, using pendant bubble tensiometry. The results show that, for air bubbles with diameter of the order of 1 mm, the bubble size effect on the dynamic surface tension is small and the solution of the diffusion equation for a planar gas-liquid surface can be used to describe the dynamic adsoiption onto the air bubbles. The experimental data obtained with SDBS were well described by the Framkin adsorption isotherm and the molecular diffusion. The model description for the experimental data obtained with Dowfroth 250 required the kinetic equations. The paper is relevant for the analysis of the role of the adsorbed surfactants in the bubble-particle attachment.
机译:本文对浮选中起泡剂和捕集剂对气泡的动态吸附进行了分析。使用关于表面活性剂通过扩散和吸附转移的理论进行了分析。在求解动态表面过量的扩散方程时考虑了气泡大小。使用Langmuir吸附等温线及其扩展以及吸附分子的侧向相互作用(Framkin吸附等温线)对吸附动力学进行了建模。数值计算被用来求解控制方程。使用悬垂气泡张力测定法,根据十二烷基苯磺酸钠(SDBS)和Dowfroth 250的动态表面张力来测量表面活性剂的动态吸附。结果表明,对于直径约为1 mm的气泡,气泡尺寸对动态表面张力的影响较小,并且可以使用平面气液表面扩散方程的解来描述动态吸附进入气泡。 SDBS获得的实验数据通过Framkin吸附等温线和分子扩散很好地描述了。用Dowfroth 250获得的实验数据的模型描述需要动力学方程。该论文与分析吸附的表面活性剂在气泡-颗粒附着中的作用有关。

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