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A mathematical model for border strip irrigation
Author(s) -
Weir G. J.
Publication year - 1983
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/wr019i004p01011
Subject(s) - kinematics , kinematic wave , infiltration (hvac) , mathematics , term (time) , function (biology) , mathematical analysis , physics , classical mechanics , meteorology , biology , ecology , quantum mechanics , evolutionary biology , surface runoff
A kinematic model is developed to discuss surface irrigation when the infiltration function consists of a long‐time gravity term plus a short‐time capilliary or sorbtivity term. The corresponding model equations are solved either exactly or numerically, and several graphical solutions are presented. Using the kinematic solution, we suggest a condition for the validity of the corresponding Lewis‐Milne problem, and from the shallow water or dynamic equations we suggest a condition for the validity of our kinematic solution.