Yoshinaga Natsuhiko, Nagai Ken H, Sumino Yutaka, Kitahata Hiroyuki
WPI - Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 2):016108. doi: 10.1103/PhysRevE.86.016108. Epub 2012 Jul 16.
We theoretically derive the amplitude equations for a self-propelled droplet driven by Marangoni flow. As advective flow driven by surface tension gradient is enhanced, the stationary state becomes unstable and the droplet starts to move. The velocity of the droplet is determined from a cubic nonlinear term in the amplitude equations. The obtained critical point and the characteristic velocity are well supported by numerical simulations.
我们从理论上推导了由马兰戈尼流驱动的自驱动液滴的振幅方程。随着由表面张力梯度驱动的平流增强，稳态变得不稳定，液滴开始移动。液滴的速度由振幅方程中的三次非线性项确定。所得到的临界点和特征速度得到了数值模拟的有力支持。
