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首页> 外文期刊>International Journal of Heat and Mass Transfer >One-dimensional models of nanoliter droplet evaporation from a hot surface in the transition regime
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One-dimensional models of nanoliter droplet evaporation from a hot surface in the transition regime

机译：在过渡状态下从热表面蒸发纳升液滴的一维模型

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摘要

A novel one-dimensional model of the evaporation of liquid water droplets from a hot surface is presented. The one-dimensional finite-difference model solves the governing equations of continuity, momentum, species and energy within the gaseous phase in spherical coordinates. The model includes the Hertz-Knudsen kinetic evaporative mass flux with a correction for the transitional regime that exists between continuum and molecular length-scales. The accommodation coefficient of the kinetic mass flux is constant and set to unity while the droplet thermal conductance is a multiple of the thermal conductivity of water. The model employs a uniform discretization of the spherical vapor region surrounding the droplet and a one-dimensional conduction model of the droplet itself. The model can also emulate pinned and de-pinned contact lines based on a geometric expression. Several theories of evaporative mass flux in the transition regime are compared. Droplet evaporation data is acquired with a standard dispensing/ imaging system and high-speed photography. The calculated, transient droplet volumes are compared to experimental evaporation data of sessile droplets ranging from 30 to 80 urn initial radius (0.06-1.4 nanoliters). Simplification of the one-dimensional equations leads to a semi-analytical model. Good agreement is achieved between both models and the experimental data. Results indicate that the evaporation process is a greater resistance to overall heat transfer than conduction through the droplet itself, which is consistent with the previous results of axisymmetric volume-of-fluid (VOF) models.
机译：提出了从热表面蒸发水滴的新型一维模型。一维有限差分模型求解球形坐标中气相内的连续性，动量，种类和能量的控制方程。该模型包括Hertz-Knudsen动力学蒸发质量通量，并对连续体和分子长度尺度之间存在的过渡形式进行了校正。动量通量的调节系数是恒定的，并且设置为1，而液滴的热导率是水的热导率的倍数。该模型采用围绕液滴的球形蒸汽区域的均匀离散化和液滴本身的一维传导模型。该模型还可以基于几何表达式模拟固定和非固定的接触线。比较了过渡态下蒸发质量通量的几种理论。液滴蒸发数据通过标准分配/成像系统和高速摄影获得。将计算出的瞬时液滴体积与无定形液滴的实验蒸发数据进行比较，该无定形液滴的初始半径范围为30至80微米（0.06-1.4纳升）。一维方程式的简化导致了半分析模型。两种模型与实验数据之间都取得了良好的一致性。结果表明，与通过液滴本身的传导相比，蒸发过程对整体传热的阻力更大，这与轴对称流体体积（VOF）模型的先前结果一致。

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