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A Second‐Order Approach for the Modeling of Dispersive Transport in Porous Media: 2. Application to Solute Motion in Pipes and Capillary Tubes
Author(s) -
Tompson Andrew F. B.,
Gray William G.
Publication year - 1986
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr022i005p00601
Subject(s) - dimensionless quantity , péclet number , mechanics , porous medium , capillary action , dispersion (optics) , flow (mathematics) , simple (philosophy) , scale (ratio) , porosity , mathematics , statistical physics , thermodynamics , geotechnical engineering , physics , geology , optics , philosophy , epistemology , quantum mechanics
The second‐order dispersion model developed by Tompson and Gray (this issue) is reduced to a one‐dimensional form in terms of dimensionless variables and is applied to the simple problem of solute transport in pipes and capillaries. Numerical experiments allow the dimensionless constitutive coefficients appearing in the model to be evaluated under several flow regimes. Simple functional relationships for these coefficients in terms of the Peclet number are developed. The model performs well using these scale independent coefficients, even at early times and short travel distances, when the traditional first‐order Fickian model is inadequate.