12/22/2011

Multicomponent Flow Modeling (Modeling and Simulation in Science, Engineering and Technology) Review

Multicomponent Flow Modeling (Modeling and Simulation in Science, Engineering and Technology)
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After the celebrated books by Chapmann-Cowling, Cercignani (non exhaustive list) on the Boltzmann equation for mono-atomic gases and that of De Groot and Mazur on the thermodynamics of irreversible processes V. Giovangigli sets and describes the generalized theory of the complex fluid equations of gas mixtures with chemical reactions. As mentioned by the author the general shape of fluid equations which are presented at first in their most general forms and then with simplification in some specific cases are obtained via the kinetic theory. This theory is then summarized in the fourth chapter which is sufficiently clear to see how not only the fluid equations but also the true expression of transport and chemical coefficients can be recovered from it. The author shows how this insight on the complex fluid equations brings informations that can be used to compute the above coefficients through algorithms. The second part of the book is devoted to the properties and mathematics of transport coefficients and thermochemistry as well as existence theorems that complete the physical approach of the first part.
This books gathers a huge amount of results obtained by the author, co-workers and other researchers that were necessary to set a somehow "complete" theory of multicomponent fluids with chemical reactions. Thus the book is self consistent book and it is without any contest THE reference book in this very wide area which has many applications.
The only remark I have concerns the correct expressions of the kinetic approach and its real applications. The rate of exchange of energies and chemical reactions at the molecule level is set in term of probability transitions. While very practical from a theoretical point of view this approach avoids the real difficulty of modeling or evaluating from experiments those probability transitions. Thus the computation of transport coefficients seems to be somehow more devoted to their mathematical righteouness than to the user. Though this problem can also be viewed as a "gift" for the researcher interested in this area. And the very rich informations that are contained in this book will help him to go further on.

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This text focuses on multicomponent flow modeling concepts and methods that are used in applications in combustion, crystal growth, and chemical reactors. The goals are to provide a detailed presentation of the kinetic theory of gas and the analysis of the relevant models.

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