发表机构
Princeton University（普林斯顿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过理论和数值模拟，系统研究了表面活性剂溶解度对惯性Marangoni流动的影响，建立了求解框架，并揭示了有限溶解度解与不溶性和无限可溶性极限解之间的联系。
AI 中文摘要
表面活性剂是大多数气液界面上常见的污染物。表面活性剂降低表面张力，因此表面活性剂浓度梯度产生表面张力梯度，从而引起流动。一种典型的表面活性剂诱导流动是表面活性剂局部沉积到原本清洁的液体界面上时产生的向外铺展。Eshima等人（Phys. Rev. Lett.，已接收，2026）通过实验和理论（利用晚期相似解）证明，表面活性剂溶解度增强了气-液-气薄片的表面活性剂诱导流动，并且可溶性表面活性剂溶液可以映射到等效的不溶性表面活性剂溶液上。在此，我们在理论和数值上扩展了这项工作，建立了一个系统框架来推导和分析此类解。相关无量纲参数被定量定义，物理上可访问的参数空间很宽，我们的理论和数值模拟能够覆盖该空间。我们将有限溶解度表面活性剂的解与不溶性和无限可溶性表面活性剂的极限情况的解联系起来，其中后者的联系仅在瞬态成立：无限可溶性极限的解表现为一个中间解，随着溶解度的增加，该解持续存在的时间越来越长，之后才获得最终晚期解，该解映射到不溶性表面活性剂上。
英文摘要
Surface active agents (surfactants) are common contaminants found on most air-liquid interfaces. Surfactants lower the surface tension, and hence surfactant concentration gradients generate surface tension gradients, which leads to flow. A canonical surfactant-induced flow is the outward spreading due to the localised deposition of surfactants onto an otherwise clean liquid interface. Eshima et al. (Phys. Rev. Lett., accepted, 2026) demonstrated experimentally and theoretically, through a late-time similarity solution, that surfactant solubility enhances surfactant-induced flows of air-liquid-air sheets and that soluble surfactant solutions can be mapped onto equivalent insoluble surfactant solutions. Here we extend the work theoretically and numerically, developing a systematic framework for the derivation and analysis of such solutions. The relevant nondimensional parameters are quantitatively defined, and the physically accessible parameter space is wide, which our theory and numerical simulations are able to span. We link the solutions for finitely soluble surfactants to the solutions for the limiting regimes of insoluble and infinitely soluble surfactants, where the latter link only holds transiently: the solution of the infinitely soluble limit appears as an intermediate solution that persists ever longer as solubility increases, before the ultimate late-time solution, which maps onto insoluble surfactants, is obtained.
