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Dispersion of inert solutes in spatially periodic, two-dimensional model porous media |
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AbstractTaylor dispersion of a passive solute within a fluid flowing through a porous medium is characterized by an effective or Darcy scale, transversely isotropic dispersitivity $$\bar D^* $$ , which depends upon the geometrical microstructure, mean fluid velocity, and physicochemical properties of the system. The longitudinal, $$\bar D_\parallel ^* $$ and lateral, $$\bar D_ \bot ^* $$ dispersivity components for two-dimensional, spatially periodic arrays of circular cylinders are here calculated by finite element techniques. The effects of bed voidage, packing arrangement, and microscale Péclet and Reynolds numbers upon these dispersivities are systematically investigated.
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