Generalized Nomographic Solution of Hooghoudt Equations

by John G. Sakkas, Hydr. Engr.; Hydroelectric Project Design Branch, Public Power Corp., Athens, Greece,

Serial Information: Journal of the Irrigation and Drainage Division, 1975, Vol. 101, Issue 1, Pg. 21-39

Document Type: Journal Paper


The equation of drain spacing developed by Hooghoudt has gained considerable popularity among drainage design engineers because it is sufficiently accurate and possesses a simple mathematical expression. The latter is due to the notion of equivalent depth which he introduced. On the contrary, the application of the equation is quite cumbersome, requiring a trial-and-error procedure. In recent years drainage design for unsteady flow conditions also utilized the notion of equivalent depth. To simplify the use of both the drain spacing and the equivalent depth equations, they are put into dimensionless form containing fewer independent variables. An array of values suffices for quick and inexpensive determination of the equivalent depth. Tables of dimensionless equivalent depth also were prepared. A unique dimensionless nomographic solution of the drain spacing equation was obtained and is displayed in a set of five graphs for reasons of readability. Finally, work relevant to Hooghoudt equations by two investigators is analyzed with the aid of this analysis.

Subject Headings: Drainage | Spacing | Hydraulic design | Mathematics | Unsteady flow

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