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Upper Bounds on Evaporation Losses from Buried Sources
Author(s) -
Philip J. R.
Publication year - 1991
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/sssaj1991.03615995005500060002x
Subject(s) - dimensionless quantity , evaporation , upper and lower bounds , yield (engineering) , range (aeronautics) , surface (topology) , potential evaporation , mechanics , mathematics , geometry , materials science , thermodynamics , physics , mathematical analysis , composite material
Evaporation losses at the soil surface are important in subirrigation. This study yields upper bounds on fractional evaporation loss from buried sources. Quasilinear solutions are given for evaporation at the soil surface from buried steady point and line sources at finite depth. These yield the very general result that e ‐2z1 is the upper bound on the fractional evaporation loss from any arbitrary configuration of steady sources at dimensionless depth z 1 . This dimensionless depth is the ratio of the physical depth to the sorptive length 2α −1 , where α is the sorptive number entering the quasilinear analysis. A simple general theorem gives the upper bound on fractional evaporation loss from arbitrary configurations of steady sources distributed throughout an arbitrary range of depths.