Kinetic theory description

Gidaspow, D., Multiphase Flow and Fluidization Continuum and Kinetic Theory Descriptions . 

When Bernie Shizgal arrived at UBC in 1970, his research interests were in applications of kinetic theory to nonequilibrium effects in reactive systems. He subsequently applied kinetic theory methods to the study of electron relaxation in atomic and molecular moderators,46 hot atom chemistry, nucleation,47 rarefied gas dynamics,48 gaseous electronics, and other physical systems. An important area of research has been the kinetic theory description of the high altitude portion of planetary atmospheres, and the escape of atmospheric species.49 An outgrowth of these kinetic theory applications was the development of a spectral method for the solution of differential and integral equations referred to as the quadrature discretization method (QDM), which has been used with considerable success in statistical, quantum, and fluid dynamics.50... 

Gidaspow D. (1994) Multiphase fiow andfiuids. Continuum and kinetic theory descriptions. Academic press, ISBN 0-412-09600-9, p. 467. 

The available continuum models for dispersed multi-phase flows thus follow one of two asymptotic approaches. The dilute phase approach is formulated based on the continuum mechanical principles in terms of the local conservation equations for each of the phases. A macroscopic model is then obtained by averaging the local equations based on an appropriate averaging procedure. In the dense phase approach, on the other hand, a kinetic theory description is adopted for the dispersed particulate phase (granular material), whereas an averaged continuum model formulation is adopted for the interstitial phase. 

Gascon J, Tellez C, Herguido J, Jakobsen HA, Menendez M (2006) Modehng of Fluidized Bed Reactors With Two Reaction Zones. AIChE J 52(ll) 3911-3923 Geldart D (1973) Types of gas fluidization. Powder Technology 7 285-292 Gidaspow D (1994) Multiphase Plow and Fluidization-Continuum and Kinetic Theory Descriptions. Academic Press, Harcourt Brace Company, Publishers, Boston... 

Before presenting a full kinetic theory description of a reacting fluid, we give a more formal microscopic treatment of reactions via linear response theory. This discussion will serve to make the conditions under which we expect the macroscopic rate law to hold more precise, and will also provide... 

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... 

Since S(k)is considered an input function to the kinetic theory description, the compressibility is not a property specified by the memory function. In contrast,... 

Gidaspow D Multiphase flow and fluidization continuum and kinetic theory descriptions with applications, Boston, 1994, Academic Press. 

Rahaman M, NaserJ, Witt P An unequal granular temperature kinetic theory description of granular flow with multiple particle classes. Powder Technol 138 82—92, 2003. 

Section 4.2 considered the kinetic theory of the transport properties of dilute, pure fluids in some detail in this section the theory is extended to gas mixtures. Naturally, the theory of mixtures shares many features with that of pure species so that the same pattern will be adopted for the presentation, although duplication will be avoided whenever possible. For these reasons the semiclassical kinetic theory description is immediately adopted here, and similar consequences for the description of some phenomena as they pertain to pure gases are accepted. 

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