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Open AccessArticle

Investigation of the Flux–Concentration Relation for Horizontal Flow in Soils

Department of Natural Resources Management and Agricultural Engineering, Agricultural University of Athens, 75 Iera Odos, 11855 Athens, Greece
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Water 2019, 11(12), 2442; https://doi.org/10.3390/w11122442
Received: 6 October 2019 / Revised: 11 November 2019 / Accepted: 19 November 2019 / Published: 21 November 2019
(This article belongs to the Special Issue Study of the Soil Water Movement in Irrigated Agriculture)
The objective of the present work is to investigate the flux–concentration (F(Θ)) relation, where Θ is the normalized soil volumetric water content for the case of one-dimensional horizontal flow, subject to constant concentration conditions. More specifically, the possibility of describing F(Θ) by an equation of the form F(Θ) = 1 − (1 − Θ)p+1 is examined. Parameter p is estimated from curve-fitting of the experimentally obtained λ(Θ) data to an analytic expression of the form (1 − Θ)p where λ is the well-known Boltzmann transformation λ = xt−0.5 (x = distance, t = time). The results show that the equation of (1 − Θ)p form can satisfactorily describe the λ(Θ) relation for the four porous media tested. The proposed F(Θ) function was compared with the limiting F(Θ) function for linear and Green–Ampt soils and to the actual F(Θ) function. From the results, it was shown that the proposed F(Θ) function gave reasonably accurate results in all cases. Moreover, the analytical expression of the soil water diffusivity (D(Θ)) function, as it was obtained by using the equation for λ(Θ) of the form (1 − Θ)p, appears to be very close to the experimental D(Θ) data (root mean square error (RMSE) = 0.593 m2min−1). View Full-Text
Keywords: horizontal infiltration; sorptivity; soil moisture profile horizontal infiltration; sorptivity; soil moisture profile
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Kargas, G.; Londra, P.; Kerkides, P. Investigation of the Flux–Concentration Relation for Horizontal Flow in Soils. Water 2019, 11, 2442.

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