AI 中文总结
研究各向异性约束对超疏水表面液滴反弹的影响，通过带凹槽基板实现约束，用非理想多弛豫时间格子玻尔兹曼方法模拟并验证。扩展液滴模型，组织两种模式，探讨壁亲和力影响，表明此约束改变了接触时间减少的问题本质。
AI 中文摘要
在平坦的超疏水表面上，液滴反弹可用单一的惯性-毛细时间尺度很好地描述，接触时间与冲击能量无关。这种单模响应反映了平板冲击的径向对称性。研究表明，沿一个轴施加固定扩展长度的各向异性几何约束打破了这种简并性，将反弹分为一对相互的惯性-毛细模式。固定长度还将接触时间与依赖于韦伯数的最大扩展耦合，引入了平板上不存在的冲击能量依赖性。通过带凹槽的基板实现了这种约束，用非理想、熵、多弛豫时间格子玻尔兹曼方法进行模拟，并与尚特洛等人的实验进行了验证。将他们的液滴模型从单一横向尺度扩展到相互的一对，通过几何液滴数组织两种模式，并将它们的时间尺度与韦伯数和凹槽宽度联系起来。研究表明，在非湿润凹槽上直接恢复相互模式，并探讨了有限壁亲和力的影响，用两种模式之间的竞争解释了在轻度湿润的超疏水凹槽上观察到的接触时间响应中的双分支结构。与全局能量平衡相关的预测在所有条件下都能干净地重现，而与液滴扩展形态细节相关的预测是近似的，但方向正确。这些结果表明，各向异性约束将接触时间的减少从加速单一反弹模式的问题转变为在共轭惯性-毛细模式之间进行选择的问题。
英文摘要
On flat superhydrophobic surfaces, droplet rebound is well described by a single inertio-capillary time scale, yielding a contact-time that is independent of impact energy. This single-mode response reflects the radial symmetry of flat-plate impacts. We demonstrate that an anisotropic geometric constraint, imposing a fixed spreading length along one axis, breaks this degeneracy and splits the rebound into a reciprocal pair of inertio-capillary modes. The fixed length also couples the contact-time to the Weber-dependent maximum spread, introducing an impact-energy dependence absent on the flat plate. We realize this constraint with grooved substrates, simulated using a non-ideal, entropic, multiple-relaxation-time lattice Boltzmann method and validated against the experiments of Chantelot et al. Extending their blob model from a single transverse scale to the reciprocal pair, we organize both modes through a geometric blob number and relate their time scales to the Weber number and groove width. We show that on non-wetting grooves the reciprocal modes are recovered directly, and explore the effects of finite wall affinity, using competition between the two modes to explain an observed two-branch structure in the contact-time response on mildly wetting, superhydrophobic grooves. Predictions tied to global energy balance reproduce cleanly across all conditions, while those tied to the details of the droplet's spread morphology are approximate but directionally correct. These results show that anisotropic confinement turns contact-time reduction from a question of accelerating a single rebound mode into one of selecting between conjugate inertio-capillary modes.
Comments17 pages, 20 figures
