부산대학교 도서관

Summary: ``Macroscopic models for diffusion and heterogeneousreversible reaction of two species in porous media are developed byusing coupled homogenization technique and spectral approach. Threerepresentative cases related to the order of magnitude of themacroscopic Damköhler number DaL, namely predominating reaction,diffusion-reaction of the same order and dominating diffusion, areconsidered. The concentrations are developed as time series in aneigenfunctions basis associated with periodic spectral problemsformulated in the unit-cell, thus forming a new microscopic problem tobe homogenized. Such an approach represents a powerful tool to upscalediffusion-reaction microscopic problems, especially for highDamköhler number values where classical asymptotic development fails.It enables to capture the physics at very short times, when thecharacteristic time of reaction involved is much faster than thediffusion one. This work allows us to formulate the complex macroscopiclaws describing the heterogeneous diffusion/reaction problem for twospecies in high Damköhler number regime.''