疏水纹理表面上的近接触熔化：约束与弯月面效应
Close-contact melting on hydrophobic textured surfaces: Confinement and meniscus effects
AI总结：
本文研究疏水纹理表面的近接触熔化，通过双级数与摄动法分析有效滑移长度，阐明沟槽取向、约束及弯月面对传热和熔化速率的影响，并给出相图与高度演化渐近解。
摘要：
我们研究了气体滞留疏水表面上的近接触熔化（CCM）动力学，特别关注几何约束以及液膜下方液-气弯月面的效应。通过采用双级数法和摄动法，我们在纵横比 $Λ$（定义为膜厚 $h$ 与结构周期长度 $l$ 之比）和气-液分数 $ϕ$ 的不同取值下，获得了与速度场 $λ$ 和温度场 $λ_t$ 相关的有效滑移长度的数值解。针对不同表面结构、界面形状和 $Λ$，推导并总结了 $Λ\ll 1$ 和 $Λ\gg 1$ 时 $λ$ 与 $λ_t$ 的渐近解；这些结果揭示了在 $Λ\ll 1$ 且存在弯月面时 $λ$ 的不同趋势。在恒压 CCM 背景下，我们的结果表明横向沟槽表面持续降低传热。然而，当 $Λ\lessapprox 0.1$ 且 $ϕ<1-0.5^{2/3}\approx0.37$ 时，在约束和弯月面效应下，纵向沟槽可以增强传热。对于重力驱动 CCM，参数 $l$ 和 $ϕ$ 决定熔化速率是增强、降低还是几乎不受影响。我们基于参数矩阵 $(\log_{10}l,ϕ)$ 构建了相图，以划分这三种机制区域。最后，我们推导了两个渐近解，用于预测未熔化固体高度随时间的变化。
英文摘要：
We investigate the dynamics of close-contact melting (CCM) on gas-trapped hydrophobic surfaces, with specific focus on the effects of geometrical confinement and the liquid-air meniscus below the liquid film. By employing dual-series and perturbation methods, we obtain numerical solutions for the effective slip lengths associated with velocity $λ$ and temperature $λ_t$ fields, across various values of aspect ratio $Λ$ (defined as the ratio of the film thickness $h$ to the structure's periodic length $l$) and gas-liquid fraction $ϕ$. Asymptotic solutions of $λ$ and $λ_t$ for $Λ\ll 1$ and $Λ\gg 1$ are derived and summarized for different surface structures, interface shapes and $Λ$, which reveal a different trend for $λ$ and $Λ\ll 1$ and the presence of a meniscus. In the context of constant-pressure CCM, our results indicate that transverse-grooves surfaces consistently reduced the heat transfer. However, longitudinal grooves can enhance heat transfer under the effects of confinement and meniscus when $Λ\lessapprox 0.1$ and $ϕ< 1 - 0.5^{2/3} \approx 0.37$. For gravity-driven CCM, the parameters of $l$ and $ϕ$ determine whether the melting rate is enhanced, reduced, or nearly unaffected. We construct a phase diagram based on the parameter matrix $(\log_{10} l, ϕ)$to delineate these three regimes. Lastly, we derived two asymptotic solutions for predicting the variation in time of the unmelted solid height.
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