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Corresponding Author

R. Zidan, A.

Subject Area

Civil and Environmental Engineering

Article Type

Original Study

Abstract

The overland flow in Wadi El-Arish represents a case of unsteady flow on a pervious surface. The actual flow is the interaction of various additive and substracting variables: rainfall due to storm, lateral inflow from tributaries, infiltration into the soil and evaporation from the water surface. The differential equations which govern the overland flow were expressed by the continuity and momentum equations. These two equations were developed to be adaptable for the overland flow problems. The rectangular grid characteristic method was used for the numerical solution of these two parabolic partial differential equations of the first order. Wadi El-Arish was represented by a mathematical model to predict the amount of surface runoff obtained due to a storm, in addition to the amount of water infiltrated through the soil. The numerical solution of the differential equations was accomplished in using computer operations, at the meantime, computations of successive surface profiles yielded informations on the characteristics of surface runoff and infiltration along the whole valley channel.

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