Extension of continuum mechanics to the nanoscale

Chemical Engineering Science

Volumn 59, Issue 21, 2004, Pages 4621-4635

  Slattery, John C ^a   Oh, Eun Suok ^a   Fu, Kaibin ^a  

^a Department of Electrical and Computer Engineering   (United States)

Author keywords

Contact angle; Disjoining pressure; Films; Interface; Momentum transfer; Nanostructure; Surface tension; Young's equation

Indexed keywords

CONTACT ANGLE; ELASTIC MODULI; NANOSTRUCTURED MATERIALS; OLEFINS; SURFACE TENSION;

NANOSCALES; PHASE INTERFACE; YOUNG'S EQUATION;

CONTINUUM MECHANICS;

MOMENTUM TRANSFER;

EID: 4544385579     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.06.046     Document Type: Article

References (45)

1. Adamson, A.W., 1976. Physical Chemistry of Surfaces, third ed. Wiley, New York.
2. Baier, R.E., Meyer, A.E., 1992: Surface analysis of fouling-resistant marine coatings. Biofouling 6, 165-180.
3. Benner Jr., R.E., Scriven, L.E., Davis, H.T., 1982. Structure and stress in the gas-liquid solid contact region. Faraday Symposium, The Royal Society of Chemistry 16, 169-190.
4. Berry, M.V., 1974. Simple fluids near rigid solids-statistical-mechanics of density and contact angle. Journal of Physics A: Mathematical and General 7, 231-245.
5. Bird, R.B., Stewart, W.E., Lightfoot, E.N., 2002. Transport Phenomena. second ed. Wiley, New York.
6. Bowen, W.R., Jenner, F., 1995. The calculation of dispersion forces for engineering applications. Advances in Colloid and Interface Science 56, 201-243.
7. Bowers, R.C., Zisman, W.A., 1964. Surface properties. In: Baer, E. (Ed.), Engineering Design for Plastics. Van Nostrand Reinhold Co., New York, pp. 689-741.
8. Casimir, H., Polder, D., 1948, The influence of retardation on the London-van der Waals forces. Physical Review 73 (4), 360-372.
9. Chaudhury, M.K., Whitesides, G.M., 1991. Direct measurement of interfacial interactions between semispherical lenses and flat sheets of polydimethylsiloxane and their chemical derivatives. Langmuir 7, 1013 -1025.
10. Drummond, C.J., Chan, D.Y.C., 1997. van der Waals interaction, surface free energies, and contact angles: dispersive polymers and liquids. Langmuir 13, 3890-3895.
11. Dussan, V.E.B., 1979. Spreading of liquids on solid-surfaces - static and dynamic contact lines. Annual Review of Fluid Mechanics 11, 371-400.
12. Dzyaloshinskii, I.E., Lifshitz, E.M., Pitaevskii, L.P., 1960. van der Waals forces in liquid films. Soviet Physics JETP 37, 161-170.
13. Dzyaloshinskii, I.E., Lifshitz, E.M., Pitaevskii, L.P., 1961. The general theory of van der Waals forces. Advances in Physics 10, 165-209.
14. Fox, H.W., Zisman, W.A., 1950. The spreading of liquids on low energy surfaces, i. polytetrafluoroethylene. Journal of Colloid Science 5, 514 -531.
15. Fu, K., Robinson, R.L., Slattery, J.C., 2004. An analysis of supercritical adsorption in the context of continuum mechanics. Chemical Engineering Science 59, 801-808.
16. Girifalco, L.A., Good, R.J., 1957. A theory for the estimation of surface and interfacial energies. I. derivation and application to interfacial tension. Journal of Physical Chemistry 61, 904-909.
17. Hamaker, H.C., 1937. The London-van der Waals attraction between spherical particles. Physica 4, 1058-1072.
18. Hirschfelder, J.O., Curtiss, C., Bird, R.B., 1954. Molecular Theory of Gases and Liquids. Wiley, New York, corrected with notes added in 1964.
19. Hough, D.B., White, L.R., 1980. The calculation of Hamaker constants from Lifshitz theory with applications to wetting phenomena. Advances in Colloid and Interface Science 14, 3-41.
20. Israelachvili, J.N., 1973. van der Waals dispersion force contribution to works of adhesion and contact angles on basis of macroscopic theory. Journal of Chemical Society of Faraday Transactions II 69, 1729-1738.
21. Israelachvili, J.N., 1991. Intermolecular and Surface Forces, second ed. Academic Press, London.
22. Jameson, G.J., del Cerro, M.C.G., 1976. Theory for equilibrium contact-angle between a gas, a liquid and a solid. Journal of the Chemical Faraday Transactions 72, 883-895.
23. Jasper, J.J., Kring, E.V., 1955. Thermodynamic properties of surfaces of a n-alkane series. Journal of Physical Chemistry 59, 1019-1021.
24. Joanny, J.F., deGennes, P.G., 1984. A model for contact-angle hysteresis. Journal of Chemical Physics 81, 552-562.
25. Joanny, J.F., deGennes, P.G., 1986. Role of long-range forces in heterogeneous nucleation. Journal of Colloid and Interface Science 111, 4-101.
26. Lifshitz, E.M., 1956. The theory of molecular attraction forces between solid bodies. Soviet Physics JETP 2, 73-83.
27. Mahanty, J., Ninham, B.W., 1976. Dispersion Forces. Academic Press, New York.
28. Martynov, G.A., Starov, V.M., Churaev, N.V., 1977. Hysteresis of contact-angle at homogeneous surfaces. Colloid Journal USSR 39, 406-417.
29. Miller, C.A., Ruckenstein, E., 1974. Origin of flow during wetting of solids. Journal of Colloid and Interface Science 48, 368-373.
30. Owens, D.K., Wendt, R.C., 1969. Estimation of the surface free energy of polymers. Journal of Applied Polymer Science 13, 1741-1747.
31. Padday, J.F., Uffindell, N.D., 1968. Calculation of cohesive and adhesive energies from intermolecular forces at a surface. Journal of Physical Chemistry 72, 1407-1414.
32. Rayleigh, L., 1890. On the theory of surface forces, Philosophical Magazine 30, 285-298.
33. Russel, W.B., Saville, D.A., Schowalter, W.R., 1989. Colloidal Dispersions. Cambridge University Press, Cambridge.
34. Saville, G., 1978. Computer simulation of liquid-solid-vapor contact-angle. Journal of the Chemical Society of Faraday Transactions 73, 1122-1132.
35. Slattery, J.C., 1990. Interfacial Transport. Phenomena. Springer, New York.
36. Slattery, J.C., 1999. Advanced Transport Phenomena. Cambridge University Press, New York.
37. Steele, W.A., 1973. The physical interaction of gases with crystalline solids. Surface Science 36, 317-352.
38. Steele, W.A., 1974. The Interaction of Gases with Solid Surfaces. Pergamon Press, New York.
39. Steele, W.A., 1978. The interaction of rare gas atoms with graphitized carbon black. Journal of Physical Chemistry 82, 817-821.
40. Truesdell, C., Toupin, R.A., 1960. The classical field theories, in: Flügge, S. (Ed.), Handbuch der Physik, vol. 3/1. Springer, Berlin, p. 226.
41. Wayner, P.C., 1980. Interfacial profile in the contact line region of a finite contact-angle system. Journal of Colloid and Interface Science 77, 495 -500.
42. Wayner, P.C., 1982. The interfacial- profile in the contact line region and Young-Dupre equation. Journal of Colloid and Interface Science 88, 294-295.
43. Young, T., 1805. An essay on the cohesion of fluids. Philosophical Transactions of the Royal Society of London 95, 65-87.
44. Zisman, W.A., 1962. Constitutional effects on adhesion and abhesion. In: Weiss, P. (Ed.), Adhesion and Cohesion: Proceedings of the Symposium on Adhesion and Cohesion. Elsevier, Amsterdam, pp. 176-208.
45. Zisman, W.A., 1964, Contact angle; wettability, and adhesion. In: Advances in Chemistry Services, vol. 43. American Chemical Society, Washington, DC.