Constitutive Equations for Internal Variables Thermodynamics of Suspensions
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Mauro Francaviglia
, Annunziata Palumbo and Patrizia Rogolino
Abstract
A description of mixtures, including matter diffusion and suspensions, is analyzed from a thermodynamic viewpoint with internal variables. In order to consider dissipative effects due to thermo-diffusion we introduce a set of N independent scalar internal variables, which we denote by γA. The behavior of the mixture is therefore described by a state space W including the classical variables mass density, mass concentration, temperature, and internal variables together with their first and second gradients satisfying evolution equations. General thermodynamic restrictions and residual dissipation inequalities are obtained by the Clausius–Duhem inequality.
© 2009 Walter de Gruyter · Berlin · New York
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Articles in the same Issue
- An Outlook on Biothermodynamics. II. Adsorption of Proteins
- Thermodynamics and Kinetics Study of the Adsorption and Diffusion of p-Xylene in Silicalite-1
- Constitutive Equations for Internal Variables Thermodynamics of Suspensions
- Influence of Molecular Parameters on the Thermodiffusion and Thermal Conductivity in Binary Mixtures of Diatomic Fluids using NEMD
- Contact Quantities and Non-Equilibrium Entropy of Discrete Systems
- “Non-Equilibrium Thermodynamics of Heterogeneous Systems” by Signe Kjelstrup and Dick Bedeaux