AN ANALYTICAL KINEMATIC MODEL FOR THE RISING LIMB OF OVERLAND-FLOW ON INFILTRATING PARABOLIC SHAPED SURFACES

Using the kinematic wave theory and Y. Zarmi's hypothesis, an analytical solution for overland flow over an infiltrating, parabolic shaped surface (concave or convex surfaces, that may be represented by a quadratic equation) is presented. The velocity of the water flow is assumed to be independent of time. The analytical solution developed is easier to utilize than numerical simulation and can be used to calibrate numerical methods devised for more complicated cases. An illustration is presented.