Abstract
Already in the eighteenth century it was realized that the capillary effect of fluids must arise from attractive forces between the constituents of matter, the molecules. This realization led to the idea that examination of the capillary effects could tell something about the attractive forces and possibly also about the molecules. Also modem physicists are interested in the explanation of the capillary phenomena in terms of intermolecular forces. TMs chapter highlights some of the applications of the square gradient theory of van der Waals [1] in modeling the behaviour of fluids near interfaces. For a more extensive discussion of this theory we refer to Rowlinson and Widom [2].
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References
Van der Waals, J.D. (1894) Thermodynamische Theorie der Kapillaritaet unter Voraussetzung stetiger Dichte Aenderung, Z. phys. Chem. 13, 657–725.
Rowlinso., J.S. and Widom, B. (1989) Molecular Theory of Capillarity, International Series of Monographs on Chemistry 8th Vol., Oxford University Press, Oxford.
Cahn, J.W., and Milliard, J.E. (1958) Free energy of a nonuniform system. I. Interfacial tee energy, J. Chem. Phys. 28, 258–267.
Yang, A.J.M., Flemming, P.D., and GIBBS, J.H. (1976) Molecular theory of surface tension, J. Chem. phys. 64, 3732–3747.
Yang, A.J.M., Flemming, P.D., and Gibbs, J.H. (1977) Theory of the influence of gravity on liquid-vapor Interfaces, J. Ckem. Phys. 67, 74–80.
Bongiorno, V., Scriven, L.E., and Davis, H.T. (1976) Molecular theory of fluid interfaces, J. Coll. Interf. Sci. 57, 462–475.
Carey, B.S., Scriven, L.E. and Davis, H.T. (1978) On the gradient theories of fluid interfacial stress and structure, J. Chem. Phys. 69, 5040–5049.
Carey, B.S., Scrivot, L.E. and Davis, H.T. (1978) Semiemperical theory of surface tensions of pure normal alkalies and alcohols, AJChE J. 24, 1076–1080.
Peng, D.Y., and Robinson, D.B. (1976) A new two-constant equation of state, Ind. Eng. Chem. Fundam. 15, 59–64.
Reid, R.C., Prausnitz, J.M., and Poling, B.E. (1988) The Properties of Gases and Liquids, 4th edition, McGraw-Hill Book Co., Singapore.
Cornelisse, P.M.W. (1997) The gradient theory applied, simultaneous modelling of interfacial tension and phase behaviour, Ph. D-thesis, Delft University of Thechnology, The Netherlands.
Van der Waals, J. D. (1893) Verhandel.Konink.Akad.Weten., Amsterdam (Sect. 1) 1, 8, 1–56.
Ebner, C., Saam, W.F., and Stroud, D. (1976) Density-functional theory of simple classical fluids. I. Surfaces, Phys.Rev.A 14, 2264–2273.
Comelisse, P.M.W., Peters, C.J., and de Swaan Axons, J. (1997) On the fundamentals of the gradient theory of van der Waais, J. Chem. Phys. 106, 9820–9834.
Fisk, S., and Widom, B. (1969) Structure and free energy of the interface between fluid phases in equilibrium, J. Chem.phys, 50, 3219–3227.
Gupta, M.K., and Robinson, R.L. Jr (1987) Application of gradient theory of inhomogeneous fluid to prediction of low interfacial tensions in CO2/hydrocarbon systems, SPE Res. Eng. 2, 528–530.
Vargaftik, N.B. (1975) Tables on Thermophysical Properties of Liquids and Gases, Hemisphere Publishing Corporation, John Wiley & Sons Inc., New York, USA.
Jasper, J.J. (1972) The surface tension of pure liquid compounds, J.Phys.Chem.Ref.Data 1, 841–1009.
Donohue, M.D., and Vimalchand, P. (1988) The perturbed-hard-chain theory — Extensions and Applications, Fluid Phase Equilibria 40, 185–211.
Ikonotnou, C.D., and Donohue, M.D. (1986) Thermodynamics of hydrogen-bonded molecules: the associated perturbed anisotropic chain theory, AJChE J. 32, 1716–1725.
Econoraou, I.G., and Denohug M.D. (1991) Chemical, quasi-chemical and perturbation theories for associating fluids, AIChE J. 37, 1875–4894.
Nagarajan, N. and Robinson, R.L. (1986) Equilibrium phase composition, phase densities, and interfacial tensions for CO2 + hydrocarbon systems. 2. CO2 + n-dodecane, J. Chem. Eng. Data 31, 168–171.
Cornelisse, P.M.W., Peters, C.J., and de Swaan Arons, J. (1993) Application of the Peng-Robinson equation of state to calculate interfacial tensions and profite at vapor-liquid interfaces, Fluid Phase Equilibria 82, 119–129.
Sahimi, M., Davis, H.T., and Scriven, L.E. (1985) Thermodynamic modeling of phase and tension behavior of CO2/Hydrocarbon systems, SPE J. April, 235–254.
Sahimi M., and Taylor, B.N. (1991) Surface tension of binary liquid-vapor mixtures — A comparison of mean-field and scaling theories, J. Chem.Phys. 95, 6749–6761.
Aiekseeva, M.V., and Moiseenko, M.F. (1982) Experimental study and calculation of liquid-vapor equilibria in the n-propanol/hexane/n-decanol system, Khim. Thermodin.Rastorov 5, 179–195.
Papaionmou, D., and Panayiotou, G. (1994) Surface tensions and relative adsorptions in hydrogen-bonded systems, J.Chem.Eng.Data 39, 457–462.
Dulitskaya, K.A. (1945) Vapor pressure of binary systems, Zh.Ob.Shch.Khim. 15, 9–21.
Vázquez, G., Alvarez, E., and Navaza, J.M. (1995) Surface tension of alcohol + water from 20 to 50 °C, J.Chem.Eng.Data 40, 611–614.
Udovcoko, V.V., and Fatkalina, L.G. (1952) Solubility in the system ethylalcohol-1,2-dichloroethane-water, zh.Fiz.Khim, 26, 1438.
Harrison, K.L., Johnston, K.P., and Sanchhen, I.C. (1996) Effect of surfactants on the interfacial tension between supwcritical carbon dioxide and polyethylene glycol, Langmuir, 12, 2637–2644.
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Cornelisse, P.M.W., Peters, C.J. (2000). Fundamentals of Interfacial Properties. In: Kiran, E., Debenedetti, P.G., Peters, C.J. (eds) Supercritical Fluids. NATO Science Series, vol 366. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3929-8_7
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DOI: https://doi.org/10.1007/978-94-011-3929-8_7
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