An analytical solution of kinematic wave equations for overland flow under Green-Ampt infiltration

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Abstract

This paper deals with the analytical solution of kinematic wave equations for overland flow occurring in an infiltrating hillslope. The infiltration process is described by the Green-Ampt model. The solution is derived only for the case of an intermediate flow regime between laminar and turbulent ones. A transitional regime can be considered a reliable flow condition when, to the laminar overland flow, is also associated the effect of the additional resistance due to raindrop impact. With reference to the simple case of an impervious hillslope, a comparison was carried out between the present solution and the non-linear storage model. Some applications of the present solution were performed to investigate the effect of main parameter variability on the hillslope response. Particularly, the effect of hillslope geometry and rainfall intensity on the time to equilibrium is shown.
Lingua originaleEnglish
pagine (da-a)41-49
Numero di pagine9
RivistaJournal of Agricultural Engineering
Volume1
Stato di pubblicazionePublished - 2010

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Wave equations
Infiltration
Kinematics
Laminar flow
Rain
Geometry

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title = "An analytical solution of kinematic wave equations for overland flow under Green-Ampt infiltration",
abstract = "This paper deals with the analytical solution of kinematic wave equations for overland flow occurring in an infiltrating hillslope. The infiltration process is described by the Green-Ampt model. The solution is derived only for the case of an intermediate flow regime between laminar and turbulent ones. A transitional regime can be considered a reliable flow condition when, to the laminar overland flow, is also associated the effect of the additional resistance due to raindrop impact. With reference to the simple case of an impervious hillslope, a comparison was carried out between the present solution and the non-linear storage model. Some applications of the present solution were performed to investigate the effect of main parameter variability on the hillslope response. Particularly, the effect of hillslope geometry and rainfall intensity on the time to equilibrium is shown.",
keywords = "analytical solution, hydrologic response, infiltration, kinematic wave equations",
author = "Carmelo Agnese and Giorgio Baiamonte",
year = "2010",
language = "English",
volume = "1",
pages = "41--49",
journal = "Journal of Agricultural Engineering",
issn = "1974-7071",
publisher = "PagePress",

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T1 - An analytical solution of kinematic wave equations for overland flow under Green-Ampt infiltration

AU - Agnese, Carmelo

AU - Baiamonte, Giorgio

PY - 2010

Y1 - 2010

N2 - This paper deals with the analytical solution of kinematic wave equations for overland flow occurring in an infiltrating hillslope. The infiltration process is described by the Green-Ampt model. The solution is derived only for the case of an intermediate flow regime between laminar and turbulent ones. A transitional regime can be considered a reliable flow condition when, to the laminar overland flow, is also associated the effect of the additional resistance due to raindrop impact. With reference to the simple case of an impervious hillslope, a comparison was carried out between the present solution and the non-linear storage model. Some applications of the present solution were performed to investigate the effect of main parameter variability on the hillslope response. Particularly, the effect of hillslope geometry and rainfall intensity on the time to equilibrium is shown.

AB - This paper deals with the analytical solution of kinematic wave equations for overland flow occurring in an infiltrating hillslope. The infiltration process is described by the Green-Ampt model. The solution is derived only for the case of an intermediate flow regime between laminar and turbulent ones. A transitional regime can be considered a reliable flow condition when, to the laminar overland flow, is also associated the effect of the additional resistance due to raindrop impact. With reference to the simple case of an impervious hillslope, a comparison was carried out between the present solution and the non-linear storage model. Some applications of the present solution were performed to investigate the effect of main parameter variability on the hillslope response. Particularly, the effect of hillslope geometry and rainfall intensity on the time to equilibrium is shown.

KW - analytical solution

KW - hydrologic response

KW - infiltration

KW - kinematic wave equations

UR - http://hdl.handle.net/10447/61190

M3 - Article

VL - 1

SP - 41

EP - 49

JO - Journal of Agricultural Engineering

JF - Journal of Agricultural Engineering

SN - 1974-7071

ER -