针对低频人工地震波对泡沫稳定性的协同强化效应,基于垂直液膜排液模型和波动理论,建立了低频人工地震波激励下泡沫稳定性微观动力学模型;采用高阶偏微分方程组无因次变换、隐式和显式差分方法对该模型进行复合求解并验证了模型的可靠性,对低频人工地震波作用下的泡沫液膜厚度、表面活性剂浓度分布及排液速度等进行了定量化分析。研究表明,低频振动可降低排液后期泡沫液膜中表面活性剂浓度最大值与最小值之差,强化Marangoni效应的作用效果,提高了泡沫液膜的稳定性。当振动频率接近泡沫液膜固有频率时振动效果最佳,最佳振动频率约为50 Hz。振动加速度越大,泡沫液膜中表面活性剂浓度的恢复速度越快,Marangoni效应延缓泡沫液膜排液的能力越强,稳泡性能越好,但振动加速度并非越大越好,最佳振动加速度约为0.5倍重力加速度。合理的振动参数会大幅提高Marangoni效应的作用效果,表面活性剂初始浓度越小,振动提高Marangoni效应效果越好。图11表2参19
To get a deeper understanding on the synergistic enhancement effect of low frequency artificial seismic wave on foam stability, a micro-kinetic model of enhanced foam stability under low frequency artificial seismic wave is established based on a vertical liquid film drainage model and elastic wave theory. The model is solved by non-dimensional transformation of the high order partial differential equations and a compound solution of implicit and explicit differences and is verified to be accurate. The foam film thickness, surfactant concentration distribution and drainage velocity under the action of low frequency artificial seismic wave are quantitatively analyzed. The research shows that low-frequency vibration can reduce the difference between the maximum and minimum concentrations of surfactant in the foam liquid film at the later stage of drainage, enhance the effect of Marangoni effect, and improve the stability of the foam liquid film. When the vibration frequency is close to the natural frequency of the foam liquid film, the vibration effect is the best, and the best vibration frequency is about 50 Hz. The higher the vibration acceleration, the faster the recovery rate of surfactant concentration in the foam liquid film is. The higher the vibration acceleration, the stronger the ability of Marangoni effect to delay the drainage of foam liquid film and the better the foam stability is. It is not the higher the vibration acceleration, the better. The best vibration acceleration is about 0.5 times of gravity acceleration. Reasonable vibration parameters would greatly enhance the effect of Marangoni effect. The smaller the initial concentration of surfactant, the better the vibration works in enhancing Marangoni effect.
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