Kinematic wave theory is utilized to investigate diverging overland flow which does not appear to have been previously investigated in watershed hydrology. This paper is the first in a sequel of two. It developes analytical solutions for a diverging geometry for two cases: (1) when infiltration is considered through rainfall-excess, and (2) when infiltration is treated concurrently with runoff; this gives rise to a free boundary problem. Part II discusses the application of the proposed model to natural watersheds.
Research Article|April 01 1981
Diverging Overland Flow: 1. Analytical Solutions
V. P. Singh, N. Agiralioglu; Diverging Overland Flow: 1. Analytical Solutions. Hydrology Research 1 April 1981; 12 (2): 81–98. doi: https://doi.org/10.2166/nh.1981.0007
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