Temperature profile in a liquid-vapor interface near the critical point

Abstract : Thanks to an expansion with respect to densities of energy, mass and entropy, we discuss the concept of thermocapillary fluid for inhomogeneous fluids. The non-convex state law valid for homogeneous fluids is modified by adding terms taking account of the gradients of these densities. This seems more realistic than Cahn and Hilliard's model which uses a density expansion in mass-density gradient only. Indeed, through liquid-vapor interfaces, realistic potentials in molecular theories show that entropy density and temperature do not vary with the mass density as it would do in bulk phases. In this paper, we prove using a rescaling process near the critical point that liquid-vapor interfaces behave essentially in the same way as in Cahn and Hilliard's model.
Liste complète des métadonnées

Cited literature [36 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01492802
Contributor : Henri Gouin <>
Submitted on : Wednesday, July 12, 2017 - 5:58:53 PM
Last modification on : Monday, March 4, 2019 - 2:04:17 PM
Document(s) archivé(s) le : Thursday, January 25, 2018 - 3:06:10 AM

Files

Temperature.pdf
Files produced by the author(s)

Identifiers

Citation

Henri Gouin, Pierre Seppecher. Temperature profile in a liquid-vapor interface near the critical point. Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, Royal Society, The, 2017, 473 (20170229), pp.1-13. 〈10.1098/rspa.2017.0229〉. 〈hal-01492802v2〉

Share

Metrics

Record views

268

Files downloads

97