Articles | Volume 21, issue 3
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


Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision
ED: Publish subject to minor revisions (further review by Editor) (24 Jan 2017) by Yangbo Chen
AR by M.L. Kavvas on behalf of the Authors (27 Jan 2017)  Author's response
ED: Publish as is (22 Feb 2017) by Yangbo Chen
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.