Snoeijer Jacco H, Eggers Jens
Physics of Fluids Group and J. M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Nov;82(5 Pt 2):056314. doi: 10.1103/PhysRevE.82.056314. Epub 2010 Nov 15.
Consider a film of viscous liquid covering a solid surface, which it does not wet. If there is an initial hole in the film, the film will retract further, forming a rim of fluid at the receding front. We calculate the shape of the rim as well as the speed of the front using lubrication theory. We employ asymptotic matching between the contact line region, the rim, and the film. Our results are consistent with simple ideas involving dynamic contact angles and permit us to calculate all free parameters of this description, previously unknown.
考虑一层覆盖在固体表面的粘性液体薄膜,该液体不会润湿该固体表面。如果薄膜上初始存在一个孔洞,薄膜将进一步收缩,在后退前沿形成一个流体边缘。我们使用润滑理论计算边缘的形状以及前沿的速度。我们在接触线区域、边缘和薄膜之间采用渐近匹配。我们的结果与涉及动态接触角的简单概念一致,并使我们能够计算此描述中所有先前未知的自由参数。