Articles | Volume 21, issue 3
https://doi.org/10.5194/hess-21-1547-2017
https://doi.org/10.5194/hess-21-1547-2017
Research article
 | 
13 Mar 2017
Research article |  | 13 Mar 2017

Governing equations of transient soil water flow and soil water flux in multi-dimensional fractional anisotropic media and fractional time

M. Levent Kavvas, Ali Ercan, and James Polsinelli

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Latest update: 11 Jul 2024
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Short summary
In this study dimensionally consistent governing equations of continuity and motion for transient soil water flow and water flux in fractional time and in fractional multiple space dimensions in anisotropic media are developed. By the introduction of the Brooks–Corey constitutive relationships, an explicit form of the equations is obtained. The developed governing equations, in their fractional time but integer space forms, show behavior consistent with the previous experimental observations.