A note on surface film driven convection
Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 155-158

Voir la notice de l'article provenant de la source Cambridge University Press

In [6] McTaggart presented a nonlinear energy stability analysis of the problem of convection in the presence of a surface film overlying a non-shallow layer of fluid heated from below. In her work the film is regarded as a two-dimensional continuum and surface tension is then introduced naturally as a combination of a surface density and the derivative of a surface free energy. In fact, the model originated with work of Landau and Lifschitz [4] on the effect of adsorbed films on the motion of a liquid. The precise model she uses was developed from a continuum thermodynamic viewpoint by Lindsay and Straughan [5].
Straughan, Brian. A note on surface film driven convection. Glasgow mathematical journal, Tome 33 (1991) no. 2, pp. 155-158. doi: 10.1017/S0017089500008181
@article{10_1017_S0017089500008181,
     author = {Straughan, Brian},
     title = {A note on surface film driven convection},
     journal = {Glasgow mathematical journal},
     pages = {155--158},
     year = {1991},
     volume = {33},
     number = {2},
     doi = {10.1017/S0017089500008181},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008181/}
}
TY  - JOUR
AU  - Straughan, Brian
TI  - A note on surface film driven convection
JO  - Glasgow mathematical journal
PY  - 1991
SP  - 155
EP  - 158
VL  - 33
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008181/
DO  - 10.1017/S0017089500008181
ID  - 10_1017_S0017089500008181
ER  - 
%0 Journal Article
%A Straughan, Brian
%T A note on surface film driven convection
%J Glasgow mathematical journal
%D 1991
%P 155-158
%V 33
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008181/
%R 10.1017/S0017089500008181
%F 10_1017_S0017089500008181

[1] 1.Hardy, G. H., Littlewood, J. E., and Polya, G., Inequalities. (Cambridge University Press, 1934). Google Scholar

[2] 2.Joseph, D. D., Stability of fluid motions I. (Springer-Verlag 1976). Google Scholar

[3] 3.Joseph, D. D., Two fluids heated from below. In, “Energy stability and convection: Proceedings of the Capri workshop”, pp. 364–382. Pitman Research Notes in Mathematics, vol. 168. (Longman, 1988). Google Scholar

[4] 4.Landau, L. D., and Lifschitz, E. M., Fluid mechanics. (Pergamon Press, 1959). Google Scholar

[5] 5.Lindsay, K. A., and Straughan, B., A thermodynamic viscous interface theory and associated stability problems. Arch. Rational Mech. Anal. 71 (1979), 307–326. Google Scholar | DOI

[6] 6.McTaggart, C. L., On the stabilizing effect of surface films in Bénard convection. Physico Chemical Hydrodynamics 5 (1984), 321–331. Google Scholar

Cité par Sources :