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Calculation of Liquid Droplet Profiles from Closed-Form Solution of Young-Laplace Equation

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3 Author(s)
Ku, T.C. ; Systems Development Division Laboratory in Endicott, N.Y., USA ; Ramsey, J.H. ; Clinton, W.C.

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.

Note: The Institute of Electrical and Electronics Engineers, Incorporated is distributing this Article with permission of the International Business Machines Corporation (IBM) who is the exclusive owner. The recipient of this Article may not assign, sublicense, lease, rent or otherwise transfer, reproduce, prepare derivative works, publicly display or perform, or distribute the Article.  

Published in:

IBM Journal of Research and Development  (Volume:12 ,  Issue: 6 )