Transient Solution for Drainage of Sloping Land

by J. N. Luthin,
J. C. Guitjens,

Serial Information: Journal of the Irrigation and Drainage Division, 1967, Vol. 93, Issue 3, Pg. 43-52

Document Type: Journal Paper


A Hele-Shaw viscous flow model was used to obtain transient solutions for drainage of sloping land. The laws of similitude between the model and the prototype are shown to hold for the transient case as well as the steady state case. A series of solutions are presented for the configuration of the water table for lands with slope varying from 0 to 70%. Capillary flow in the region above the water table is ignored and it is assumed that the drainage ditches penetrate to an impermeable layer.

Subject Headings: Transient flow | Drainage | Slopes | Water table | Viscous flow | Water flow | Transient response | Steady states

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