Il Nuovo Cimento C

, Volume 11, Issue 3, pp 305–315 | Cite as

On the vibration modes of the air-water interface in the presence of surface films

  • P. L. Ghia
  • P. Trivero


A numerical method is described which allows one to obtain the solutions of the linearized Navier-Stokes equation for the case of wave motion at the air-water interface in the presence of both soluble and insoluble films. The results are shown, and we discuss evidence of two vibration modes,i.e. transversal and longitudinal waves. Their behaviour appears to be closely linked, especially in the case of insoluble films.

PACS 92.10

Physics of the ocean 


Viene descritto un metodo numerico che permette di ottenere le soluzioni dell'equazione di Navier-Stokes linearizzata nel caso di moto ondoso all'interfaccia aria-acqua in presenza di film solubili ed insolubili. Sono mostrati i risultati e si discute l'evidenza di due modi vibrazionali,i.e. onda longitudinale e trasversale. Il loro comportamento appare strettamente correlato, specialmente nel caso di film insolubili.


Описывается численный метод, который позволяет получить решения линеаризованного уравнения Навье-Стокса для случая волнового движения границы раздела воздух-вода при наличии растворимых и нерастворимых пленок. Приводятся результаты, и мы обсуждаем появление двух колебательных мод, т.е. поперечных и продольных волн. Показывается, что их поведение тесно связано, особенно в случае нерастворимых пленок.


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  1. (1).
    R. Cini, P. P. Lombardini:J. Colloid Interface Sci.,81, 125 (1981).CrossRefGoogle Scholar
  2. (2).
    R. Cini, P. P. Lombardini andH. Hühnerfuss:Int. J. Remote Sensing,4, 101 (1983).Google Scholar
  3. (3).
    B. Fiscella, P. P. Lombardini, P. Trivero andR. Cini:Nuovo Cimento C,8, 491, (1985).Google Scholar
  4. (4).
    H. Hühnerfuss, P. A. Lange, W. Walter:J. Colloid. Interface Sci.,108, 442 (1985).CrossRefGoogle Scholar
  5. (5).
    H. Hühnerfuss, W. Walter, P. A. Lange andW. Alpers:J. Geophys. Res.,92, 3961 (1987).ADSGoogle Scholar
  6. (6).
    See, for example,V. G. Levich:Physico-Chemical Hydrodynamics (Englewood-Cliff, Prentice Hall, N. Y., 1962).Google Scholar
  7. (7).
    R. Cini andP. P. Lombardini:J. Colloid Interface Sci.,65, 387 (1978).CrossRefGoogle Scholar
  8. (8).
    P. P. Lombardini, F. Piazzese, R. Cini:Nuovo Cimento C,5, 256 (1982).Google Scholar
  9. (9).
    P. P. Lombardini:Maximum of damping ratio in rippled water covered by monomolecular films, ONRL Report «Role of surfactant films on the interface properties of the sea surface», edited byF. L. Herr andJ. Williams, C-11-86 (London), p. 157.Google Scholar
  10. (10).
    R. Cini, P. P. Lombardini, C. Manfredi andE. Cini:J. Colloid. Inter. Sci., 8076 (1987).Google Scholar
  11. (11).
    J. A. Grant andG. D. Hitchins:J. Inst. Math. ks. Appl.,8, 122 (1971).MATHMathSciNetGoogle Scholar
  12. (12).
    E. H. Lucassen Reynders andJ. Lucassen:Adv. Colloid Interface Sci.,2, 348, (1969).Google Scholar
  13. (13).
    J. Lucassen:Trans. Faraday Soc.,64, 2221 (1968).CrossRefGoogle Scholar
  14. (14).
    E. H. Lucassen Reynders:Anionic Surfactants, edited by,J. Lucassen, Vol.11, (New York, N. Y., 1981), p. 173.Google Scholar

Copyright information

© Società Italiana di Fisica 1988

Authors and Affiliations

  • P. L. Ghia
    • 1
    • 2
  • P. Trivero
    • 1
    • 2
  1. 1.Istituto di Fisica Generale dell'UniversitàTorino
  2. 2.Istituto di Cosmogeofisica del C.N.R.Torino

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