scholarly journals Incorporating Molecular Scale Structure into the van der Waals Theory of the Liquid−Vapor Interface†

2002 ◽  
Vol 106 (33) ◽  
pp. 8429-8436 ◽  
Author(s):  
Kirill Katsov ◽  
John D. Weeks
Keyword(s):  
Van Der Waals ◽  
Scale Structure ◽  
Vapor Interface ◽  
Molecular Scale ◽  
Van Der Waals Theory ◽  
Liquid Vapor

ON THE LIQUID–VAPOR COEXISTENCE CURVE OF XENON IN THE REGION OF THE CRITICAL TEMPERATURE

1952 ◽  
Vol 30 (5) ◽  
pp. 422-437 ◽  
Author(s):  
M. A. Weinberger ◽  
W. G. Schneider
Keyword(s):  
Critical Temperature ◽  
Critical Region ◽  
Van Der Waals ◽  
Coexistence Curve ◽  
Packing Materials ◽  
Critical Data ◽  
Van Der Waals Theory ◽  
Liquid Vapor

The liquid–vapor coexistence curves of very pure xenon have been determined in bombs of vertical lengths 1.2 cm. and 19 cm. The longer bomb yielded a flat-topped coexistence curve, the shorter a more rounded curve. The classical van der Waals theory is capable of explaining a large portion of the flat top if effects of gravity are taken into account. Details of the theoretical variation of the width of the flat top with vertical bomb lengths are given. The critical data obtained for xenon are ρc = 1.105 gm./cc., Tc = 16.590 ±.001 °C. The danger of contamination of gases in the critical region on contact with gasket or packing materials is stressed.

Thin Film Evaporation Model With Retarded van der Waals Interaction

2013 ◽  
Author(s):  
Michael S. Hanchak ◽  
Marlin D. Vangsness ◽  
Nadina Gheorghiu ◽  
Jamie S. Ervin ◽  
Larry W. Byrd ◽  
...  
Keyword(s):  
Thin Film ◽  
Solid Wall ◽  
Van Der Waals ◽  
Van Der Waals Interaction ◽  
Working Fluid ◽  
Interface Temperature ◽  
Vapor Interface ◽  
Adsorbed Film ◽  
Flux Profile ◽  
Liquid Vapor

In phase change heat transfer equipment, three-phase contact regions exist that consist of a solid wall and the liquid and vapor phases of a working fluid. When the working fluid fully wets the solid wall, a microscopic thin film adjoining the meniscus is present called the adsorbed film. Upon heating, a non-uniform evaporative flux profile develops with a maximum value occurring within the transition between the adsorbed film and the intrinsic meniscus. It is important to study the heat transfer characteristics of this region to gain better fundamental understanding and useful design principles. The adsorbed film occurs when the driving potential for evaporation is opposed by the presence of intermolecular forces, represented analytically by the disjoining pressure, which acts to thicken a wetting film. The model presented includes lubrication theory of the liquid flow within the film, heat conduction across the film from the heated wall to the liquid-vapor interface, kinetic theory evaporation from the interface to the vapor phase, and disjoining pressure based on a retarded van der Waals interaction. The retarded van der Waals interaction is derived from Hamaker theory, the summation of retarded pair potentials for all molecules for a given geometry. When combined, the governing equations form a third-order, nonlinear differential equation for the film thickness versus distance, which is solved numerically using iteration of the initial film curvature in order to match the far-field curvature of the meniscus. Also, iteration is required at each length step to determine the liquid-vapor interface temperature. Useful outputs of the model include the liquid-vapor interface temperature and the evaporative mass flux profile. The model is calibrated to in-house experiments that employ an axisymmetric capillary feeder to provide a thin film of n-octane onto a substrate of silicon, where the gas phase is air saturated with vapor. The film thickness versus radial distance is measured using reflectometry and interferometry.

Anisotropic van der Waals model of the liquid–vapor interface

1984 ◽  
Vol 80 (8) ◽  
pp. 3790-3800 ◽  
Author(s):  
John D. Weeks ◽  
D. Bedeaux ◽  
B. J. A. Zielinska
Keyword(s):  
Van Der Waals ◽  
Vapor Interface ◽  
Van Der Waals Model ◽  
Liquid Vapor

Applications of the augmented van der waals theory of fluids

1978 ◽  
Vol 75 ◽  
pp. 347-352 ◽  
Author(s):  
Aleksander Kreglewski ◽  
Stephen S. Chen
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Theory

A Numerical Description of a Liquid-Vapor Interface Based on the Second Gradient Theory

1995 ◽  
Vol 22 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Didier Jamet ◽  
Olivier Lebaigue ◽  
Jean-Marc Delhaye ◽  
N. Coutris
Keyword(s):  
Gradient Theory ◽  
Vapor Interface ◽  
Second Gradient ◽  
Liquid Vapor
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