Use of the Augmented Young-Laplace Equation to Model Equilibrium and Evaporating Extended Menisci
✍ Scribed by Sunando DasGupta; Jeffrey A. Schonberg; Ihl Y. Kim; Peter C. Wayner Jr.
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 464 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0021-9797
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✦ Synopsis
Numerical solutions of equilibrium and nonequilibrium models based on the augmented Young-Laplace equation were successfully used to evaluate experimental data for an extended meniscus. The data for the equilibrium and nonequilibrium meniscus profiles were obtained optically using ellipsometry and image processing interferometry. A Taylor series expansion of the fourth-order nonlinear transport model was used to obtain the extremely sensitive initial conditions at the interline. The solid-liquid-vapor Hamaker constants for the systems were obtained from the experimental data. The consistency of the data was demonstrated by using the combining rules to calculate the unknown value of the Hamaker constant for the experimental substrate. The sensitivity of the meniscus profile to small changes in the environment was demonstrated. Both temperature and intermolecular forces need to be included in modeling transport processes in the contact line region because the chemical potential is a function of both temperature and pressure. 1993 Academic Press, tnc.