Continuum thermodynamics of chemically reacting fluid mixtures

@article{Bothe2013ContinuumTO,
  title={Continuum thermodynamics of chemically reacting fluid mixtures},
  author={Dieter Bothe and Wolfgang Dreyer},
  journal={Acta Mechanica},
  year={2013},
  volume={226},
  pages={1757-1805}
}
We consider viscous, heat-conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of partial mass and partial momentum balances plus a mixture balance of internal energy. This is achieved by careful exploitation of the entropy principle and requires appropriate definitions of absolute temperature and chemical potentials, based on an adequate… 
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References

SHOWING 1-10 OF 71 REFERENCES
Variational Theory of Mixtures in Continuum Mechanics
In continuum mechanics, the equations of motion for mixtures are derived through the use of Hamilton's extended principle which regards the mixture as a collection of distinct continua. The internal
The Thermodynamics of Irreversible Processes. II. Fluid Mixtures
The possibility of constructing a systematic theory of irreversible processes is surveyed in general terms, by utilizing some of the results established in later parts of the paper. Three assumptions
THE MAXWELL-STEFAN FORMULATION OF IRREVERSIBLE THERMODYNAMICS FOR SIMULTANEOUS HEAT AND MASS TRANSFER
Abstract We consider constitutive relations for diffusion and simultaneous heat conduction in an n-coraponent non-ideal fluid mixture. Using the ideal gas treatment of Hirschfelder, Curtiss and Bird
The Boltzmann equation for flows with chemical reactions
On the thermodynamics of chemically reacting fluid mixtures
On the Thermodynamics of Chemically Reacting Fluid Mixtures by Morton E. Gurtin This paper develops a thermodynamical theory of chemically reacting, but inviscid, fluid mixtures. Restrictions placed
Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
We recognize some universal features of macroscopic dynamics describing the approach of a well-established level of description (that is, successfully tested by experimental observations) to
Thermodynamics of Irreversible Processes
TLDR
This work develops a solution procedure for the kinetic equation for the distribution function of matter in the phase space or the Hilbert space depending on whether the classical or quantum mode of description is adopted for the development of the theory, in a way that the thermodynamics of irreversible processes is described from the molecular viewpoint.
On the Müller paradox for thermal-incompressible media
In his monograph Thermodynamics, I. Müller proves that for incompressible media the volume does not change with the temperature. This Müller paradox yields an incompatibility between experimental
...
...