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Closed‐Form Solutions for Steady State Density‐Dependent Flow and Transport in a Vertical Soil Column
Author(s) -
Park Namsik
Publication year - 1996
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 - 10.1029/95wr03824
Subject(s) - advection , mechanics , flow (mathematics) , steady state (chemistry) , dispersion (optics) , diffusion , column (typography) , bulk density , materials science , soil science , thermodynamics , environmental science , mathematics , physics , soil water , chemistry , geometry , optics , connection (principal bundle)
Closed‐form solutions are derived for steady state density‐dependent fluid flow and solute transport problems in a one‐dimensional vertical soil column. Transport mechanisms considered are advection, molecular diffusion, and velocity‐dependent dispersion. Solutions can be obtained for a wide variety of cases. Characteristics of density‐dependent solutions, including effects of variations in density and the thickness of transition zones, are investigated for a simple case. Unique features not found in density‐independent solutions are observed. Nonuniform concentration profiles with vanishing density effects are also identified.