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Wetting Front Analysis of the Nonlinear Diffusion Equation
Author(s) -
Parlange J.Y.,
Lisle I. G.,
Prasad S. N.,
Römkens M. J. M.
Publication year - 1984
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/wr020i005p00636
Subject(s) - wetting , sorptivity , nonlinear system , diffusion equation , diffusion , mechanics , position (finance) , front (military) , materials science , mathematical analysis , mathematics , thermodynamics , physics , engineering , porosity , meteorology , composite material , metric (unit) , operations management , quantum mechanics , finance , economics
A perturbation procedure for the solution of the nonlinear diffusion equation is presented, which yields water content as a function of the distance to the wetting front. The result is in agreement with earlier predictions of wetting front position and sorptivity using an optimal technique.