Thermodynamics of a continuum with an interface and Gibbs' rule
type: Item
instance of: scholarly article
title: Thermodynamics of a continuum with an interface and Gibbs' rule
zbMATH Open document ID: 0541.73004
author: A. Romano
published in: Ricerche di Matematica
publication date: 1982-01-01T00:00:00Z
review text: A general kinematical theory of a continua with an interface is briefly presented. The case of perfect fluids with a fluid membrane is considered. The local equations of balance, jump and boundary conditions, and the consequences of the Clausius-Duhem inequality are obtained. In the case of impermeable interface, one of the jump conditions extends the Gibbs condition for the equilibrium in the phase transitions. Interesting results are obtained for the equilibrium of two phase systems. The Gibbs law for the plane or curved interface is obtained if the body force is absent.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 80A10
zbMATH DE Number: 3860489
zbMATH Keywords: general kinematical theory
zbMATH Keywords: perfect fluids
zbMATH Keywords: fluid membrane
zbMATH Keywords: local equations of balance
zbMATH Keywords: jump
zbMATH Keywords: boundary conditions
zbMATH Keywords: Clausius-Duhem inequality
zbMATH Keywords: impermeable interface
zbMATH Keywords: Gibbs condition
zbMATH Keywords: equilibrium in the phase transitions
reviewed by: Gheorghe Gr. Ciobanu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3860489