浮力作用下压在平面界面上的油滴的寿命：大滴
Lifetime of oil drops pressed by buoyancy against a planar interface: Large drops
摘要：
在先前的报告[10]中，表明乳液稳定性模拟能够再现由浮力压在平面水-十六烷界面上的微米尺寸的十六烷液滴的寿命。结果表明，β-酪蛋白稳定的小液滴（ri<10 μm）在接近界面时以Stokes张量和Taylor张量相结合的方式运动，表现为不变形颗粒。这里，使用类似的方法来参数化用牛血清白蛋白稳定的大豆油滴的相互作用的可能性。然后利用得到的电势研究了在10 \leq ri \leq 1000 μm范围内的可变形液滴的寿命。它是建立这些滴的平均寿命可以充分复制使用截断球的模型。然而，计算结果明显依赖于计算中所用的初始变形距离和最大膜半径的表达式。适用于大液滴的方程组不适用于中等尺寸液滴（10 \leq ri \leq 100 μm），反之亦然。在大颗粒的情况下，作为液滴变形的结果的界面面积的增加产生了非常大的排斥屏障，其对抗聚结。然而，浮力占优势。因此，液滴的流体力学张量决定了作为颗粒尺寸的函数的寿命的特征行为。虽然液滴的聚结时间的平均值可以通过膜变薄的机制来证明，但是大液滴的实验数据的分散不能使用先前描述的方法来合理化。一个可能的解释，这种现象需要精心的模拟相结合的变形液滴，毛细波，排斥相互作用力，和时间依赖性的表面活性剂吸附。
英文摘要：
In a previous report [10] it was shown that emulsion stability simulations are able to reproduce the lifetime of micrometer-size drops of hexadecane pressed by buoyancy against a planar water-hexadecane interface. It was confirmed that small drops (ri<10 μm) stabilized with β-casein behave as nondeformable particles, moving with a combination of Stokes and Taylor tensors as they approach the interface. Here, a similar methodology is used to parametrize the potential of interaction of drops of soybean oil stabilized with bovine serum albumin. The potential obtained is then employed to study the lifetime of deformable drops in the range 10 \leq ri \leq 1000 μm. It is established that the average lifetime of these drops can be adequately replicated using the model of truncated spheres. However, the results depend sensibly on the expressions of the initial distance of deformation and the maximum film radius used in the calculations. The set of equations adequate for large drops is not satisfactory for medium-size drops (10 \leq ri \leq 100 μm), and vice versa. In the case of large particles, the increase in the interfacial area as a consequence of the deformation of the drops generates a very large repulsive barrier which opposes coalescence. Nevertheless, the buoyancy force prevails. As a consequence, it is the hydrodynamic tensor of the drops which determine the characteristic behavior of the lifetime as a function of the particle size. While the average values of the coalescence time of the drops can be justified by the mechanism of film thinning, the scattering of the experimental data of large drops cannot be rationalized using the methodology previously described. A possible explanation of this phenomenon required elaborate simulations which combine deformable drops, capillary waves, repulsive interaction forces, and a time-dependent surfactant adsorption.
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