Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/14176
Title: Analytical solution of transient flow in a sloping soil layer with recharge
Authors: Akylas, Evangelos 
Koussis, Antonis D. 
Yannacopoulos, Athanasios N. 
Major Field of Science: Engineering and Technology
Field Category: Civil Engineering
Keywords: Analytical solution;Hillslope flow;Quai-steady flow;Recharge;Subsurface stormflow
Issue Date: 4-Aug-2006
Source: Hydrological Sciences Journal, Volume 51, Issue 4, August 2006, Pages 626-641
Journal: Hydrological Sciences Journal 
Abstract: An analytical solution of planar flow in a sloping soil layer described by the linearized extended Boussinesq equation is presented. The solution consists of the sum of steady-state and transient-series solutions, the latter in a separation-of-variables form, and can satisfy an arbitrary initial condition via collocation; this feature reduces the number of series terms, making the solution efficient. Key parameter is the dimensionless linearization depth ηo(R)R, being the dimensionless recharge. The variable ηo(R), not the slope, characterizes the flow as kinematic or diffusive, and R = 0.2 demarcates the two regimes. The transient series converges rapidly for large ηo (large R, near-diffusive flow) and slowly as ηo → 0 (kinematic flow). The quasi-steady (QS) state method of Verhoest & Troch is also analysed and it is shown that the QS depth profiles approximate the transient ones well, only if Δt exceeds a system-dependent transition time between flow states (possibly >>1 day). In an application example for a 30-day recharge series, the QS solution differs from the transient one by as much as 20% (RMSE = 15%), does not track recharge changes as well and fails to conserve mass. Copyright © 2006 IAHS Press.
URI: https://hdl.handle.net/20.500.14279/14176
ISSN: 02626667
DOI: 10.1623/hysj.51.4.626
Type: Article
Affiliation : National Observatory of Athens 
University of Cyprus 
University of Aegean 
Publication Type: Peer Reviewed
Appears in Collections:Άρθρα/Articles

CORE Recommender
Show full item record

SCOPUSTM   
Citations 50

14
checked on Mar 14, 2024

WEB OF SCIENCETM
Citations

11
Last Week
0
Last month
0
checked on Oct 29, 2023

Page view(s) 50

305
Last Week
1
Last month
1
checked on Nov 8, 2024

Google ScholarTM

Check

Altmetric


Items in KTISIS are protected by copyright, with all rights reserved, unless otherwise indicated.