论文标题
毛细血管的普遍性在角落
Universality of capillary rising in corners
论文作者
论文摘要
我们研究角落毛细血管升高的动力学。使用OnSager原理，我们得出了一个偏微分方程，描述了半月板轮廓的时间演变。我们为此部分微分方程提供了数值解和自相似解。我们的结果表明，半月板前沿的进步遵循$ t^{1/3} $的时间缩放，这与Ponomarenko等人的实验结果和理论猜想一致。
We study the dynamics of capillary rising in corners. Using Onsager principle, we derive a partial differential equation that describes the time evolution of meniscus profile. We obtain both numerical solutions and self-similar solutions to this partial differential equation. Our results show that the advance of the meniscus front follows a time-scaling of $t^{1/3}$, in agreement with the experimental results and theoretical conjecture of Ponomarenko et al.
