Time-Averaged Hydrodynamic Equations for Mobile-Bed Conditions

Konstantinos Papadopoulos, Vladimir Nikora, Stuart Cameron, Mark Stewart, Hamish Biggs, Christopher Gibbins

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The objective of this paper is to expand the framework of the conventional Reynolds-Averaged Navier-Stokes equations for the study of mobile-boundary flows. The temporal averaging con- cept is discussed first, including relevant definitions and theorems. Time-averaged continuity, momentum, mass-transport and stress balance equations are then derived. These new equations contain additional terms that represent the mobile-boundary effects. Potential applications of the proposed equations include flow-biota interactions and sediment dynamics, among others.
Original languageEnglish
Title of host publicationHydrodynamic and Mass Transport at Freshwater Aquatic Interfaces
Subtitle of host publication34th International School of Hydraulics
EditorsPaweł M. Rowiński, Andrea Marion
Place of PublicationŻelechów, Poland
PublisherSpringer
Pages1-9
Number of pages9
ISBN (Electronic)978-3-319-27750-9
ISBN (Print)978-3-319-27749-3
DOIs
Publication statusPublished - 2016

Publication series

NameGeoPlanet: Earth and Planetary Sciences
PublisherSpringer
ISSN (Print)2190-5193
ISSN (Electronic)2190-5207

Fingerprint

Hydrodynamic Equations
Boundary Effect
Mass Transport
Reynolds Equation
Balance Equations
Sediment
Expand
Averaging
Navier-Stokes Equations
Momentum
Term
Interaction
Theorem
Framework

Cite this

Papadopoulos, K., Nikora, V., Cameron, S., Stewart, M., Biggs, H., & Gibbins, C. (2016). Time-Averaged Hydrodynamic Equations for Mobile-Bed Conditions. In P. M. Rowiński, & A. Marion (Eds.), Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces: 34th International School of Hydraulics (pp. 1-9). (GeoPlanet: Earth and Planetary Sciences). Żelechów, Poland: Springer . https://doi.org/10.1007/978-3-319-27750-9_1

Time-Averaged Hydrodynamic Equations for Mobile-Bed Conditions. / Papadopoulos, Konstantinos; Nikora, Vladimir; Cameron, Stuart; Stewart, Mark; Biggs, Hamish; Gibbins, Christopher.

Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces: 34th International School of Hydraulics. ed. / Paweł M. Rowiński; Andrea Marion. Żelechów, Poland : Springer , 2016. p. 1-9 (GeoPlanet: Earth and Planetary Sciences).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Papadopoulos, K, Nikora, V, Cameron, S, Stewart, M, Biggs, H & Gibbins, C 2016, Time-Averaged Hydrodynamic Equations for Mobile-Bed Conditions. in PM Rowiński & A Marion (eds), Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces: 34th International School of Hydraulics. GeoPlanet: Earth and Planetary Sciences, Springer , Żelechów, Poland, pp. 1-9. https://doi.org/10.1007/978-3-319-27750-9_1
Papadopoulos K, Nikora V, Cameron S, Stewart M, Biggs H, Gibbins C. Time-Averaged Hydrodynamic Equations for Mobile-Bed Conditions. In Rowiński PM, Marion A, editors, Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces: 34th International School of Hydraulics. Żelechów, Poland: Springer . 2016. p. 1-9. (GeoPlanet: Earth and Planetary Sciences). https://doi.org/10.1007/978-3-319-27750-9_1
Papadopoulos, Konstantinos ; Nikora, Vladimir ; Cameron, Stuart ; Stewart, Mark ; Biggs, Hamish ; Gibbins, Christopher. / Time-Averaged Hydrodynamic Equations for Mobile-Bed Conditions. Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces: 34th International School of Hydraulics. editor / Paweł M. Rowiński ; Andrea Marion. Żelechów, Poland : Springer , 2016. pp. 1-9 (GeoPlanet: Earth and Planetary Sciences).
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