Department of Physical Chemistry, Sofia University, 1 James Bourchier Avenue, Sofia 1164, Bulgaria.
Langmuir. 2010 Apr 6;26(7):4703-8. doi: 10.1021/la903593p.
Dynamic effects originating from the electric double layers (EDL) are studied in thin liquid films (TLF) containing ionic and nonionic surfactants. To account for such effects, the EDL are to be incorporated into the differential equations describing the TLF drainage. Numerical simulations in the literature have shown that foam films containing ionic surfactants can drain at a slower rate than that predicted by the Reynolds equation (V(Re)) which postulates rigid planar film surfaces. However, the physical reason of the trend has remained unclarified, and the numerical results have not been validated by any experimental data. In the present study, experiments on the drainage of planar foam films were conducted with the anionic surfactant sodium dodecylsulfate (SDS) in the presence of additional electrolyte (0.02 M NaCl) and with the cationic tetrapentylammonium bromide (TPAB). The obtained results are in accord with the numerical simulations from the literature (V/V(Re) < 1). Such behavior was observed already in our preceding experiments on planar TLF with SDS without added electrolyte. These results were compared to the data of the experiments with TLF containing nonionic surfactant, and differences in the drainage pattern between ionics and nonionics were established. A new theoretical model was developed to account for the dynamic effects arising from EDL. According to the present model, the liquid outflow drags the bulk charges of EDL toward the film border, thus generating streaming potential (as in capillary tubes), which in turn brings the charges back toward the center to maintain the state of zero total electrical current. This creates reverse convection of the liquid near the surfaces, resulting in a velocity of film drainage smaller than V(Re). The present theory predicts kinetic dependence closer to the experiment than the Reynolds equation. The limitations of this new model are specified: it is valid for high ionic strength or low value of the surface potential.
动态效应源于双电层 (EDL),在含有离子和非离子表面活性剂的薄液膜 (TLF) 中进行研究。为了考虑这些效应,需要将 EDL 纳入描述 TLF 排水的微分方程中。文献中的数值模拟表明,含有离子表面活性剂的泡沫膜可以比假设刚性平面膜表面的雷诺方程 (V(Re)) 预测的排水速度更慢。然而,这种趋势的物理原因仍不清楚,并且数值结果尚未通过任何实验数据验证。在本研究中,在存在额外电解质 (0.02 M NaCl) 的情况下,用阴离子表面活性剂十二烷基硫酸钠 (SDS) 进行了平面泡沫膜排水的实验,并使用阳离子四戊基溴化铵 (TPAB)。获得的结果与文献中的数值模拟结果一致 (V/V(Re) < 1)。在没有添加电解质的情况下,我们之前已经在含有 SDS 的平面 TLF 上进行了此类实验,观察到了这种行为。这些结果与含有非离子表面活性剂的 TLF 实验数据进行了比较,确定了离子和非离子之间排水模式的差异。开发了一种新的理论模型来解释源于 EDL 的动态效应。根据本模型,液体流出将 EDL 的体电荷拖向膜边界,从而产生流动电势(如在毛细管中),这反过来又将电荷带回到中心以维持总电流为零的状态。这在靠近表面的地方产生了液体的反向对流,导致膜排水速度小于 V(Re)。与雷诺方程相比,本理论预测的动力学依赖性更接近实验。指定了这种新模型的局限性:它适用于高离子强度或低表面电位值。