Kinetic theory of transport

The kinetic theory of transport processes in gases rests upon three basic assumptions. 

Gray P (1968) The kinetic theory of transport phenomena in simple liquids. In Temperley HNV, Rowlinson JS, Rushbrook GS (eds) Physics of simple liquids. North-Holland, Amsterdam, pp 507—562... 

The main objective of performing kinetic theory analyzes is to explain physical phenomena that are measurable at the macroscopic level in a gas at- or near equilibrium in terms of the properties of the individual molecules and the intermolecular forces. For instance, one of the original aims of kinetic theory was to explain the experimental form of the ideal gas law from basic principles [65]. The kinetic theory of transport processes determines the transport coefficients (i.e., conductivity, diffusivity, and viscosity) and the mathematical form of the heat, mass and momentum fluxes. Nowadays the kinetic theory of gases originating in statistical mechanics is thus strongly linked with irreversible- or non-equilibrium thermodynamics which is a modern held in thermodynamics describing transport processes in systems that are not in global equilibrium. 

The kinetic theory of transport phenomena is the most elementary and perhaps the first step toward understanding more complex transport theories [1], Consider a plane z, across which particles travel carrying mass and kinetic energy. Consider two fictitious planes at z + t and... 

In this section we discuss five assumptions that have traditionally been introduced in order to continue with the development of the kinetic theory of transport phenomena and get useful results. Some of these assumptions are made because we do not at present know enough about the distribution functions that appear in the expressions in Tables 1 and 2, in particular the pair distribution function and the momentum-space distnbution function. Other assumptions are introduced in order to simplify the subsequent problem-solving for specific molecular models. All the assumptions we present here can be challenged some of them should be modified, and some of them may ultimately be eliminated. 

Nagnibeda, E. Kustova, E. (2009). Nonequilibrium Reacting Gas Flows. Kinetic Theory of Transport and Relaxation Processes, Springer-Verlag, Berlin, Heidelberg. 

Kinetic Theory of Transport and Postulate of Local Equilibrium... 

However, it should be recognized that although the theory of the transport properties of fluids is not completely developed, it can provide some guidance in the process of correlation. For example, all kinetic theories of transport reveal that it is the temperature and density that are the fundamental state variables and that pressure is of no direct significance. Since most measurements are carried out at specified pressures and not specified densities, this automatically means that a single, uniform equation of state must be used to convert any experimental data to p, T) space from the experimental p, T) space. Furthermore, the dilute-gas kinetic theory reveals a number of relationships between different properties of a gas that are exact or nearly exact so that these relationships provide consistency tests for experimental data as well as constraints that must be satisfied by the final correlation of the properties. 

Dubrovskiy, G.V. (1991b) Microscopic Models of Heat and Mass IVansfer During Adsorption Film Growth , in Proc. of Int. School-Seminar on Kinetic Theory of Transport Processes in Evaporation and Condensation (Lykov Heat and Mass Transfer Inst., Minsk) pp. 38-50 (in Russistn)... 

The Gas Kinetic Theory of Transport Processes in Hard-Sphere Gases... 

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