A kinematic model for surface irrigation: An extension Academic Article uri icon


  • 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. Copyright 1982 by the American Geophysical Union.

published proceedings

  • Water Resources Research

author list (cited authors)

  • Sherman, B., & Singh, V. P.

citation count

  • 28

complete list of authors

  • Sherman, Bernard||Singh, Vijay P

publication date

  • June 1982