Drying front 2026-10-31
A drying front separates a positive liquid layer from a region where its thickness is zero. Its position is an unknown boundary determined with the wet-region solution. At a continuous zero-height front, a jump balance alone need not fix its speed; the vanishing-depth profile and removal law can supply that information. Source terms representing evaporation or infiltration must respect nonnegative water availability in the dry region.
For the supplied hillslope values,
The Froude number is below one, but it is not extremely small numerically; the much smaller products actually multiplying inertia and the depth-gradient term justify their leading neglect. Positive flow then satisfies and
In overland flow the source is net rainfall input after infiltration into soil, with evaporation or other local losses included when important. Lateral inflow can also contribute. Negative net input must be limited by water availability once the surface dries.
Soil infiltration 2026-10-31
Entry of surface water into soil pore space. The infiltration rate depends on water availability, soil permeability, capillary suction and the existing moisture profile. In a shallow overland-flow model it is a sink from the surface layer, distinct from evaporation into the atmosphere. An imposed infiltration capacity cannot remove more liquid than is locally available.