Use of the augmented Young-Laplace equation to model equilibrium and evaporating extended menisci

Journal Article · Sat May 01 00:00:00 EDT 1993 · Journal of Colloid and Interface Science; (United States)

DOI:https://doi.org/10.1006/jcis.1993.1194· OSTI ID:6127069

DasGupta, S; Schonberg, J A; Kim, I Y; Wayner, Jr, P C ^[1]

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1. Rensselaer Polytechnic Inst., Troy, NY (United States)

The generic importance of fluid flow and change-of-phase heat transfer in the contact line region of an extended meniscus has led to theoretical and experimental research on the details of these transport processes. 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.

• DOE Contract Number: FG02-89ER14045
• OSTI ID: 6127069
• Journal Information: Journal of Colloid and Interface Science; (United States), Vol. 157:2; ISSN 0021-9797
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
FLUID MECHANICS
MATHEMATICAL MODELS
BOUNDARY CONDITIONS
ELLIPSOMETRY
EQUILIBRIUM
EVAPORATION
FLUID FLOW
HEAT TRANSFER FLUIDS
INTERFEROMETRY
MASS TRANSFER
NUMERICAL SOLUTION
PHASE CHANGE MATERIALS
PRESSURE DEPENDENCE
TEMPERATURE DEPENDENCE
FLUIDS
MATERIALS
MEASURING METHODS
MECHANICS
PHASE TRANSFORMATIONS
420400* - Engineering- Heat Transfer & Fluid Flow
990200 - Mathematics & Computers