Abstract Experiments reported till today have shown that narrower channel exhibits stronger evaporation. To clarify how this behavior comes, we proposed a new model for evaporation of wetting liquid film in a narrow channel. With considering heat conduction in liquid film, kinetics and diffusion, we described a local heat and mass transfer in the microscopic liquid-film region which length scale is characterized by minimizing free energy. The innovative point of our model is that we did not assume thermodynamic equilibrium in micro and macroscopic meniscus regions, and introduced an excess pressure term balancing a conventional stress term at gas/liquid interface, which acts as a source term of evaporation. Although a free parameter must be included because local thermal equilibrium was not assumed, our phenomenological model makes clear that non-isothermal driving force causes stronger evaporation in narrower channel.

中文翻译：

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窄通道非等温毛细管蒸发现象学模型

摘要 迄今为止报道的实验表明，更窄的通道表现出更强的蒸发。为了阐明这种行为是如何发生的，我们提出了一种用于在狭窄通道中蒸发润湿液膜的新模型。通过考虑液膜中的热传导、动力学和扩散，我们描述了微观液膜区域中的局部传热和传质，其长度尺度的特征在于最小化自由能。我们模型的创新点是我们没有假设微观和宏观弯月面区域的热力学平衡，而是引入了一个超压项来平衡气/液界面处的常规应力项，作为蒸发源项。虽然必须包括一个自由参数，因为没有假设局部热平衡，