A thermodynamic theory with hidden vectorial variables on possible interactions among heat conduction, diffusion phenomena, viscous flow and chemical reactions in fluid mixtures

• Main Authors: Vincenzo Ciancio, Annunziata Palumbo
• Format: Article
• Language: English
• Published: Accademia Peloritana dei Pericolanti 2019-05-01
• Series: Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
• Online Access: http://dx.doi.org/10.1478/AAPP.97S1A4

In this paper, by using a procedure of classical irreversible thermodynamics with internal variable (CIT-IT) some possible interactions among heat conduction, diffusion phenomena, viscous flows in fluid mixtures are studied. By introducing as internal variables $n$ vectors which influence thermal and diffusion phenomena, phenomenological equations for these variables are derived. A general vector, J, consisting of heat and mass diffusion fluxes, is introduced and it is shown that, in isotropic media, J can be split in two parts: a first one which is governed by Fourier's law and the second one which satisfies to Maxwell-Cattaneo-Vernotte equation.