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Analytical Solutions of the Transient State Oxygen Diffusion Equation in Soils With a Production Term
Author(s) -
Kanwar R. S.
Publication year - 1986
Publication title -
journal of agronomy and crop science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.095
H-Index - 74
eISSN - 1439-037X
pISSN - 0931-2250
DOI - 10.1111/j.1439-037x.1986.tb00013.x
Subject(s) - diffusion , oxygen , soil water , atmosphere (unit) , oxygen transport , transient (computer programming) , chemistry , soil science , steady state (chemistry) , diffusion equation , environmental chemistry , environmental science , thermodynamics , physics , economics , service (business) , operating system , economy , organic chemistry , computer science
Analytical solutions were developed to describe the nonsteady‐state transport of oxygen from the atmosphere into the soil media. These analyses are based on diffusion theory for oxygen diffusion in soils when oxygen is being consumed, either at a constant rate or consumption rate varies with time due to the biological and chemical processes occurring continuously in the soil media. The transport equations, and the initial and boundary conditions are set up to represent a field situation. Analytical solutions are obtained to calculate transient oxygen concentrations in the soil profile. The quantity of oxygen that might diffuse into the soil from atmosphere at any time, t, also can be found by using this method. Comparison with published data is made, and reasonably good agreement is obtained between oxygen concentrations at different depths and times computed from the analytical solutions and those actually measured.