Simulation of Substrate Cooling during Evaporation of Pure Vapor from the Surface of a Thin Liquid Film and Droplets

A. L. Kupershtokh, D. A. Medvedev, A. V. Alyanov
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Abstract

A numerical study of the process of cooling a substrate under the conditions of evaporation of pure vapor from the surface of a liquid film and droplets was carried out. The lattice Boltzmann method was used for modeling such a two-phase system taking into account the thermal conductivity of the substance and the evaporation. We used the van der Waals equation of state describing the liquid–vapor phase transition. A new method is proposed for setting the boundary conditions on a flat surface for modeling the contact wetting angles in the lattice Boltzmann method. The latent heat of phase transition is taken into account. It is shown that the process depends on the film thickness and the rate of vapor removal from the film surface. The cases of forced outflow of vapor, as well as the method of vapor condensation on a cooled condenser are considered. It is shown that the heat flux from the substrate increases sharply in the vicinity of the droplet contact lines. A comparison is made of the heat fluxes during the evaporation of the film and droplets on substrates with different wettabilities.

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薄液膜和液滴表面纯蒸汽蒸发过程中衬底冷却的模拟
对在纯蒸汽从液膜和液滴表面蒸发的条件下冷却衬底的过程进行了数值研究。考虑到物质的热导率和蒸发,使用晶格玻尔兹曼方法对这种两相系统进行建模。我们使用范德华状态方程来描述液-气相变。提出了一种在平面上设置边界条件的新方法,用于在格子Boltzmann方法中模拟接触润湿角。考虑了相变潜热。结果表明,该过程取决于薄膜厚度和从薄膜表面去除蒸汽的速率。考虑了蒸汽被迫流出的情况,以及蒸汽在冷却冷凝器上冷凝的方法。结果表明,在液滴接触线附近,来自衬底的热通量急剧增加。比较了不同润湿性基质上膜和液滴蒸发过程中的热通量。
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Journal of Applied and Industrial Mathematics
Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering
CiteScore
1.00
自引率
0.00%
发文量
16
期刊介绍: Journal of Applied and Industrial Mathematics  is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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