In the differential equation of the overland turbulent flow which was first postulated by Horton, Eq.(6), the value of c equals 5/3. For this value of c, the flow equation could not be integrated algebraically. Horton solved the equation for c = 2 and believed that his solution was valid for mixed flow. The flow equation with c = 5/3 is solved algebraically herein. It is shown elsewhere (Gill 1976) that the flow equation can indeed be integrated for any rational value of c.
Research Article|August 01 1977
Algebraic Solution of the Horton-Izzard Turbulent Overland Flow Model of the Rising Hydrograph
Mohammad Akram Gill; Algebraic Solution of the Horton-Izzard Turbulent Overland Flow Model of the Rising Hydrograph. Hydrology Research 1 August 1977; 8 (4): 249–256. doi: https://doi.org/10.2166/nh.1977.0019
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