Abstract
A thermodynamical model of continuous media based on second gradient theory is able to study the motions in fluid interfaces. We present a review of some results obtained with the internal capillarity theory for the boundary conditions of such media, the problem of microscopic drops and bubbles and the waves in the vicinity of the critical point of a pure fluid.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
M. Barrere and R. Prud’homme, Equations fondamentales de l’aérothermochimie, Masson, 1973.
P. Casal, Cahier du Groupe Français de Rhéologie, CNRS VI, no3, 1961, p. 31–37 and C.R. Acad. Sc, t. 256, 1963, p. 3820–3822.
P. Casal, C.R. Acad. Sc, t. 274, A, 1972, p. 1571–1574.
P. Casal and H. Gouin, Journal de Mécanique Théorique et Appliquée, vol. 7, 1988, p. 689–718.
F. Dell’Isola, H. Gouin, P. Seppecher, C.R. Acad. Sc, t. 320, IIb, 1995, p. 211–216.
L.R. Fisher and J.N. Israelachvili, Chem. Phys. Letters, vol. 76, no2, 1980, p. 325–328.
R. Gatignol and P. Seppecher, Journal de Mécanique Théorique et Appliquée, spécial, 1986, p. 225–247.
P. Germain, Journal de mécanique, vol. 12, no2, 1973, p. 235–274.
H. Gouin, C.R. Acad. Sc, t. 317, II, 1993, p. 1263–1268.
H. Gouin and F. Cubisol, C.R. Acad. Sc, 1995, to appear.
Y. Rocard, Thermodynamique, Masson, 1967.
R. Rowlinson and B. Widom, Molecular theory of Capillarity, Clarendon Press, 1984.
J. Serrin ed., New perspectives in thermodynamics, Springer, 1986.
P. Seppecher, European J. Mechanics/B Fluids, t. 12, 1993, p. 69–84.
A. Steichen, R. Defay, A. Sanfeld, Journal de physique, t. 68, 1971, p. 835–840, 1240–1244, 1323–1328.
R.C. Tolman, J. Chem. Phys., 16, 1948, p. 758–774.
C. Truesdell and W. Noll, The Non-linear Field Theories of Mechanics, Encyclopedia of Physics, III/3, Springer, 1965.
J. D. van der Waals, Archives Néerlandaises, vol. 28, 1894–1895, p. 121–209.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag
About this paper
Cite this paper
Gouin, H. (1996). The second gradient theory applied to interfaces: Models of continuum mechanics for fluid interfaces. In: Steinchen, A. (eds) Dynamics of Multiphase Flows Across Interfaces. Lecture Notes in Physics, vol 467. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102656
Download citation
DOI: https://doi.org/10.1007/BFb0102656
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60848-6
Online ISBN: 978-3-540-49620-5
eBook Packages: Springer Book Archive