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The drying of liquid films on cylindrical and spherical substrates

机译:干燥圆柱和球形基材上的液膜

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摘要

The drying of liquid films from binary solid-solvent mixtures on cylindrical and spherical substrates is investigated by solving the diffusion equation on the cylindrical or spherical domains with account for the shrinkage of the systems due to the solvent evaporation. As a main result of the gas phase analysis, d~2-laws for both the cylindrical and the spherical cases are found. The spatio-temporal evolution of the component mass fractions in the liquid are obtained for varying initial film thickness and drying conditions. Large mass fraction gradients, formed at high drying rates, lead to a skin-core morphology with low product quality. Initially very thin films dry very uniformly, which is analogous to the flat temperature profiles in unsteady heat conduction at small Biot numbers. The maximum initial film thickness allowable to ensure flat solute mass fraction profiles in the films, and thus high quality of the dry films, is computed for varying drying rates. From these results a guideline for the drying of liquid films on cylindrical and spherical substrates is deduced.
机译:通过求解圆柱或球形区域上的扩散方程,研究了由于溶剂蒸发引起的系统收缩,研究了圆柱和球形基体上二元固体溶剂混合物中液态薄膜的干燥过程。作为气相分析的主要结果,发现了圆柱壳和球形壳的d〜2律。对于不同的初始薄膜厚度和干燥条件,可以获得液体中各组分质量分数的时空演变。在高干燥速率下形成的大质量分数梯度导致产品质量低的皮芯形态。最初,非常薄的薄膜非常均匀地干燥,这类似于在小毕奥数下不稳定的热传导中的平坦温度曲线。对于不同的干燥速率,计算出可确保膜中溶质质量分数分布平坦的最大初始膜厚,从而保证干膜的高质量。从这些结果得出了在圆柱形和球形基底上干燥液膜的指南。

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