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 62 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

Thermodynamics and foundations of mass-action kinetics

A critical overview is given of phenomenological thermodynamic approaches to reaction rate equations of the type based on the law of mass-action. The review covers treatments based on classical

Toward a unified theory of isotropic molecular transport phenomena

Accurate models for multicomponent transport are a prerequisite for the design of many industrial processes and the interpretation of experiments. Present theories, stemming from the

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.
...