Abstract
Abstract This paper outlines or general 'one-dimensional’ theory of convective-conductive internal energy transport phenomena in complex, multidimensional, nonadiabatic systems whose rate of heat loss to their surroundings is characterized by a 'Newton's law of cooling’ heat transfer coefficient h. Taylor dispersion theory is used to effect the coarse-graining ofthe microscale thermal problem, therby producing an effective-medium theory of the mean thermal transport process. Both ducts ('continuous’ systems) and model packed beds (spatially periodic systems) are analyzed. Expressions are derived for the macroscale thermal propagation velocity vector U¯∗ and effective thermal dispersivity dyadic α¯∗ in terms of the prescribed microscale data. Additionally, an expression is obtained for a third macrotransport coefficient, H¯∗, representing the effective or overall macroscale heat transfer coefficient, and distinct from the microscale heat transfer coefficient h. (This is the same type of quantity as arises ...
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