Integral equations and the pressure at the liquid solid interface

Rickayzen, Gerald and Augousti, Andreas (1984) Integral equations and the pressure at the liquid solid interface. Molecular Physics: An International Journal at the Interface Between Chemistry and Physics, 52(6), pp. 1355-1366. ISSN (print) 0026-8976

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Abstract

The relationship between the pressure in a fluid and the density-functional which controls the density profile of a fluid confined between two walls is examined. As a result, the conditions which must be fulfilled by an approximate density functional to yield a bulk pressure P, a normal pressure, P W at the interface between a hard wall and the fluid, and a fluid density, ρW, adjacent to the wall which satisfy the exact relations P W=P=k B T ρW, are established. The density-functional which yields the HNC closure for a hard-sphere fluid near a hard wall is modified so that the modified functional yields the Carnahan-Starling bulk pressure and hence fulfils the necessary conditions. The density profile to which this gives rise is compared with the results of computer simulation for various bulk densities when the fluid is bounded by two hard walls separated by a distance equal to 8 diameters of the hard sphere. The agreement is found to be very good even at a bulk reduced density of 0·91.

Item Type: Article
Additional Information: KH 22/08/17
Research Area: Mechanical, aeronautical and manufacturing engineering
Faculty, School or Research Centre: Faculty of Engineering (until 2011)
Depositing User: Kevin Hiscox
Date Deposited: 24 Aug 2017 12:56
Last Modified: 24 Aug 2017 12:56
URI: http://eprints.kingston.ac.uk/id/eprint/39007

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