Close-contact melting on hydrophobic textured surfaces: Confinement and meniscus effects
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| Format: | Preprint |
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2025
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| author | Hu, Nan Fan, Liwu Gao, Xiang Stone, Howard A. |
| author_facet | Hu, Nan Fan, Liwu Gao, Xiang Stone, Howard A. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_01340 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Close-contact melting on hydrophobic textured surfaces: Confinement and meniscus effects Hu, Nan Fan, Liwu Gao, Xiang Stone, Howard A. Soft Condensed Matter Fluid Dynamics 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. |
| title | Close-contact melting on hydrophobic textured surfaces: Confinement and meniscus effects |
| topic | Soft Condensed Matter Fluid Dynamics |
| url | https://arxiv.org/abs/2501.01340 |