Chemically reacting fluids

Toong, T-Y., Combustion Dynamics The Dynamics of Chemically Reacting Fluids. McGraw-Hill. New York, 1983. 

With this book we seek to document the experience we have gained over some 20 years of research and application chemically reacting fluid flow. An important aspect of the experience has been the development and application of the Chemkin software that implements much of the theory discussed in this text. 

Gurtin, M. E., On the thermodynamics of chemically reacting fluid mixtures. Anh. Rati. Mech. Anal. 43, 198(1971). 

Keeping these basic assumptions in mind, the chemically reacting fluids can quantitatively be described in terms two categories of the governing equations [134] ... 

Toong TY (1983) Combustion Dynamics The Dynamics of Chemically Reacting Fluids. McGraw-Hill Book Company, New York Truesdell C, Toupin R (1960) The Classical Field Theories. In Handbuch der Physik, Vol. Ill, Pt. 1, Springer-Verlag, Berlin... 

In a chemically reacting fluid, where the number of molecules of a given species is no longer conserved, the small k limit is not sufficient to guarantee this time-scale separation. For the Markov approximation to be useful, we must also require that the chemical reaction be slow. We can make this discussion more precise by using the same methods that have been applied in the past to justify this point in other contexts. We consider, for simplicity, the case of a spatially homogeneous system and take the fc-+0 limit of (5.4) at the outset to obtain... 

The microscopic description of a chemically reacting fluid depends to a considerable extent on the specific chemical reaction under consideration. To present the kinetic theory results in a manner that is not purely formal, we focus primarily on a particular class of models that should be appropriate for several types of reaction. We provide some physical background for these models and then turn to their mathematical description. 

These ring collision events are now a familiar part of the kinetic theory description of dynamic processes in simple dense fluids. A brief comparison of the theory for the velocity autocorrelation function with that for the chemically reacting fluid will help motivate our description. Recent developments in the theory of the velocity autocorrelation function have arisen out of an attempt to understand the slow t power law decay observed by Alder and Wainwright in a computer simulation of a dense hard-sphere fluid. This work also showed that the translational motion of a small hard sphere in a fluid of similar hard spheres has a significant collective (hydro-dynamic) component. On the theoretical side, this type of behavior was discussed from the kinetic theory point of view in terms of the ring collision events described above and provided a microscopic basis for the introduction of collective effects. In addition, it was shown that mode... 

Rajagopal, K.R., Saccomandi, G., Veigori, L. Linear stability of Hagen-Poiseuille flow in a chemically reacting fluid. Comput. Math. Appl. 61(2), 460-469 (2011)... 

This is the core chapter of our book. Here we discuss rational thermodynamics of mixtures and our main interest is the classical subject— the chemically reacting fluid mixture composed from fluids with linear transport properties (linear fluid mixture). In the last section, we discuss the relation of our results to those classical. 

In this book, we use Truesdell s conceptually most simple idea of mixture [10-12] and we confine ourselves to a classical task important in applications we study the mixture of chemically reacting fluids (mechanically non-polar, cf. Secf.4.3 and Rem. 17 in Chap. 3), with the same temperature of all constituents and with linear transport properties (like diffusion, heat conduction, viscosity generalization on nonlinear transport, see [60, 71, 72, 104]). This model, called shortly the linear fluid mixture, contains as special cases non-reacting fluid mixtures and some further ones (see Sect. 4.8). 

Most of the literature on reacting continua and on heterogeneous continua deals with chemically reacting fluids. This literature has been unified and generalized by Truesdell and Toupin [20], who presented the differential balance equations for a mixture of chemically reacting continua. They do not restrict the continumn to be a solid, liquid, or gas. 

Toong TY (1983) Combustion dynamics the dynamics of chemically reacting fluids. McGraw-HiU, New York... 

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