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Exact Desorptivities for Power Law and Exponential Diffusivities
Author(s) -
Lisle I. G.,
Parlange J.Y.,
Haverkamp R.
Publication year - 1987
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/sssaj1987.03615995005100040005x
Subject(s) - exponential function , scaling , power law , transformation (genetics) , mathematics , desorption , thermal diffusivity , range (aeronautics) , water content , function (biology) , boundary (topology) , thermodynamics , mathematical analysis , physics , statistics , chemistry , materials science , geometry , geology , geotechnical engineering , biochemistry , organic chemistry , adsorption , evolutionary biology , biology , composite material , gene
The desorption of water from a soil is analyzed for a soil‐water diffusivity function obeying a power or an exponential law, and precise numerical values for desorptivity are found. An effective reduction in the number of parameters allows the cumulative desorption for various boundary conditions to be calculated from a short table of results. For the power law case, desorptivity for arbitrary initial water content can be obtained from tabulated values by a simple scaling transformation. A similar scaling transformation yields the exponential desorptivity for arbitrary initial and surface water content. An approximate desorptivity formula of Parlange is discussed, and found to give an accuracy within 2.5% over the whole parameter range. In general, the present results should be useful to assess numerical and analytical procedures.