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A kinematic model for surface irrigation: An extension
Author(s) -
Sherman Bernard,
Singh Vijay P.
Publication year - 1982
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/wr018i003p00659
Subject(s) - infiltration (hvac) , inflow , kinematics , computation , mathematics , kinematic wave , irrigation , geology , mechanics , geotechnical engineering , hydrology (agriculture) , geometry , surface runoff , physics , classical mechanics , meteorology , ecology , biology , algorithm
The kinematic model for surface irrigation, reported previously by Sherman and Singh (1978), is extended. Depending upon the duration of irrigation and time variability of infiltration, three cases are distinguished. Explicit solutions are obtained when infiltration is constant. When infiltration is varying in time, a numerical procedure is developed which is stable and has fast convergence. A rigorous theoretical justification is developed for computation of the depth of water at and the time history of the front wall of water advancing down an infiltrating plane or channel. A derivation is given of the continuity and momentum equations when there is lateral inflow and infiltration into the channel bed.