A macrotransport paradigm for thermal Taylor dispersion phenomena in periodic media (Q2706050)

The author investigates a large class of thermal dispersive phenomena occurring in macrohomogeneous systems. A central limit theorem for Markov processes is used essentially. The viability of such a model can be demonstrated by introducing the notion of a generic conserved tracer entity, called a ``thermion'', in the case of internal energy transport. By explicitly acknowledging the existence of such a tracer, it is possible to extend the macrotransport theory to internal energy transport processes. A macrotransport paradigm for thermal transport phenomena is established as well. It turns out that one can express the effective coefficients in terms of the prescribed microscale data and the system geometry. The asymptotic behavior of these coefficients as functions of the velocity and the spatial scale parameters, which characterize our transport processes, is discussed. Some specific examples are shown to illustrate the computation of the macroscale coefficients as functions of the comparable microscale data.