Calculation of liquid droplet profiles from closed-form solution of Young-Laplace equation

Calculation of liquid droplet profiles from closed-form solution of Young-Laplace equation
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根据杨-拉普拉斯方程的闭式解计算液滴轮廓

DOI:
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发表时间:
1968
期刊:
影响因子:
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通讯作者:
W. C. Clinton
W. C. Clinton
中科院分区:
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文献类型:
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作者:
T. Ku;J. H. Ramsey;W. C. Clinton

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得到了控制非混相液体间界面形状的Young-Laplace方程的二维封闭解。该解决方案使液体结的设计者(例如,焊接或油墨印刷应用)能够使用某些结尺寸作为方程中的边界条件来计算轮廓。计算的轮廓叠加在液体结的轮廓上,以显示溶液的精度(±5%)。本文还引入了一个称为延迟系数的参数,发现该参数便于计算给定固液气系统中允许观察到的可变接触角的所有因素。
A closed-form solution is obtained for a two-dimensional version of the Young-Laplace equation governing the shape of the interface between immiscible liquids. This solution enables designers of liquid junctions (in, for example, soldering or ink printing applications) to calculate profiles using certain junction dimensions as boundary conditions in the equations. Calculated profiles are superimposed on silhouettes of liquid junctions to show the accuracy of the solutions (± 5%). The paper also introduces a parameter called the coefficient of retardation which was found convenient in accounting for all the factors that permit variable contact angles to be observed in a given solid-liquid-air system.