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Inspectional Analysis of Convective‐Dispersion Equation and Application on Measured Breakthrough Curves
Author(s) -
Shukla M. K.,
Kastanek F. J.,
Nielsen D. R.
Publication year - 2002
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj2002.1087
Subject(s) - dispersion (optics) , diffusion , displacement (psychology) , convection , mechanics , scaling , thermodynamics , soil science , mathematics , materials science , environmental science , chemistry , physics , geometry , optics , psychology , psychotherapist
Several miscible displacement experiments were carried out in three 10‐, 20‐, and 30‐cm mollisol and antisol filled soil columns. A strong linear relationship between pore‐water velocity ( v ) and apparent diffusion coefficient ( D ) was obtained for both soil columns ( r 2 > 0.92). We also derived the nondimensional laws for equilibrium adsorption convective‐dispersion equation (CDE) using inspectional analysis, which reduced the physical constants and variables in CDE from seven to four nondimensional‐π quantities. After scaling, the times of effluent arrival were nearly the same and all the breakthrough curves (BTCs) coalesced into a very narrow region of scaled time.