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A Theoretical Study of the Inclusion of Dispersion in Boundary Conditions and Transport Equations for Zero‐order Kinetics
Author(s) -
Parlange J.Y.,
Starr J. L.,
Barry D. A.,
Braddock R. D.
Publication year - 1982
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/sssaj1982.03615995004600040007x
Subject(s) - dispersion (optics) , zero (linguistics) , kinetics , boundary value problem , displacement (psychology) , zero order , convection–diffusion equation , boundary (topology) , thermodynamics , mechanics , mathematics , physics , mathematical analysis , classical mechanics , first order , optics , psychology , philosophy , linguistics , psychotherapist
The transport of a solute in a soil column is considered for zero‐order kinetics. The visible displacement of the solute is affected by dispersion. The dispersion coefficient enters both the transport equation and the boundary condition. It is shown that the latter is the most important effect and a simple equation is proposed to describe solute transport, which takes into account the influence of dispersion in the boundary condition, but not in the transport equation. Validity and limitations of this equation are discussed in some detail by comparison with the complex but exact solution for zero‐order kinetics.