Darhuber A A, Troian S M, Reisner W W
Microfluid Dynamics Laboratory, Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 1):031603. doi: 10.1103/PhysRevE.64.031603. Epub 2001 Aug 13.
We have studied the capillary spreading of a Newtonian liquid along hydrophilic microstripes that are chemically defined on a hydrophobic substrate. The front of the spreading film advances in time according to a power law x=Bt(1/2). This exponent of 1/2 is much larger than the value 1/10 observed in the axisymmetric spreading of a wetting droplet. It is identical to the exponent found for wicking in open or closed microchannels. Even though no wicking occurs in our system, the influence of surface curvature induced by the lateral confinement of the liquid stripe also leads to an exponent of 1/2 but with a strongly modified prefactor B. We obtain excellent experimental agreement with the predicted time dependence of the front location and the dependence of the front speed on the stripe width. Additional experiments and simulations reveal the influence of the reservoir volume, liquid material parameters, edge roughness, and nonwetting defects. These results are relevant to liquid dosing applications or microfluidic delivery systems based on free-surface flow.
我们研究了牛顿液体沿疏水性基底上化学定义的亲水性微条纹的毛细管铺展情况。铺展薄膜的前沿随时间按幂律x = Bt(1/2)推进。这个1/2的指数远大于在润湿液滴轴对称铺展中观察到的1/10的值。它与在开放或封闭微通道中毛细作用所发现的指数相同。尽管在我们的系统中没有发生毛细作用,但由液体条纹的横向限制所引起的表面曲率的影响也导致了1/2的指数,但前置因子B有很大改变。我们在前沿位置的预测时间依赖性以及前沿速度对条纹宽度的依赖性方面获得了与实验极好的一致性。额外的实验和模拟揭示了储液器体积、液体材料参数、边缘粗糙度和不润湿缺陷的影响。这些结果与基于自由表面流动的液体定量应用或微流体输送系统相关。