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Infiltration analysis and perturbation methods: 1. Absorption with exponential diffusivity
Author(s) -
Babu D. K.
Publication year - 1976
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/wr012i001p00089
Subject(s) - exponential function , thermal diffusivity , perturbation (astronomy) , infiltration (hvac) , power function , soil water , power series , statistical physics , mathematics , soil science , mathematical analysis , physics , thermodynamics , environmental science , quantum mechanics
Simple perturbation methods are employed to analyze the horizontal absorption of moisture in unsaturated soils. The special case treated assumes the diffusivity to be an exponential function of the concentration and the concentration at the boundaries to be constant. The solution emerges as an explicitly determined power series in the Boltzmann variable. The resulting profiles are compared with some others found in the existing literature. A discussion about the relevance and advantages of this type of analysis forms the concluding part of the paper.