A Mathematical Model for the Flow Resistance and the Related Hydrodynamic Dispersion Induced by River Dunes
Joint Authors
De Vincenzo, Annamaria
Pannone, Marilena
Brancati, Francesco
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Present work is aimed at the derivation of a simply usable equation for the total flow resistance associated with river bedforms, by a unifying approach allowing for bypassing some of the limiting restrictions usually adopted in similar types of studies.
Specifically, we focused on the effect induced by the out-of-phase free surface undulations appearing in presence of sand dunes.
The proposed expression, obtained by combining the balance of momentum referred to the control volume whose longitudinal dimension coincides with the dune wavelength and the energy balance integrated between its extreme sections, was tested by comparison with some laboratory experimental measurements available in the literature and referred to steady flow past fixed, variably rough bedforms.
In terms of shear stress or friction factor, the proposed theory provides estimates in good agreement with the real data, especially if evaluated against the performances provided by other classical similar approaches.
Moreover, when analyzed in terms of hydrodynamic dispersive properties as a function of the skin roughness on the basis of a previously derived analytical solution, the dune-covered beds seem to behave like meandering channels, responsible for a globally enhanced fluid particles longitudinal spreading, with a relatively reduced effect in the presence of less pronounced riverbed modelling.
American Psychological Association (APA)
Pannone, Marilena& De Vincenzo, Annamaria& Brancati, Francesco. 2013. A Mathematical Model for the Flow Resistance and the Related Hydrodynamic Dispersion Induced by River Dunes. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-471865
Modern Language Association (MLA)
Pannone, Marilena…[et al.]. A Mathematical Model for the Flow Resistance and the Related Hydrodynamic Dispersion Induced by River Dunes. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-471865
American Medical Association (AMA)
Pannone, Marilena& De Vincenzo, Annamaria& Brancati, Francesco. A Mathematical Model for the Flow Resistance and the Related Hydrodynamic Dispersion Induced by River Dunes. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-471865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471865