大坡度自由表面流动：超越润滑理论
Free surface flows with large slopes: beyond lubrication theory
摘要：
当液-气界面的斜率很小时，自由表面流动的描述通常可以简化为薄膜（或润滑）方程。在这里，我们提出了一个长波长的理论，仍然是完全定量的陡峭的界面斜率，通过扩大斯托克斯流在楔形。对于小的毛细管数，界面斜率的变化是缓慢的，可以微扰处理。这种几何形状自然发生的流动与接触线：我们量化的差异与普通润滑理论通过一个数值例子，并解析恢复完整的Cox-Voinov渐近解。
英文摘要：
The description of free surface flows can often be simplified to thin film (or lubrication) equations, when the slopes of the liquid-gas interface are small. Here we present a long wavelength theory that remains fully quantitative for steep interface slopes, by expanding about Stokes flow in a wedge. For small capillary numbers, the variations of the interface slope are slow and can be treated perturbatively. This geometry occurs naturally for flows with contact lines: we quantify the difference with ordinary lubrication theory through a numerical example and analytically recover the full Cox-Voinov asymptotic solution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
