Скачать или смотреть Backwater profiles in gradually-varied open channel flows

In steady gradually-varied open channel flows, the longitudinal free-surface profile is called the backwater profile. It may be predicted using the differential form of the energy equation, called 'backwater equation'. In gradually-varied open channel flows, the longitudinal variation in water depth is related to the relative magnitude of the flow depth in terms of the critical depth dc and the uniform equilibrium depth do (Bresse 1860, Chanson 2004a, pp. 104-106). Altogether, there are 12 different types of free-surface profiles of steady non-uniform gradually-varied flows, excluding uniform equilibrium flow (Chanson 2004a, pp. 104-106).

With so many profiles, how can one predict the correct longitudinal free-surface profiles (e.g. M1, M2, S3, ...)?

This video movie answers this seminal question, with real flood flow illustrations.

The concepts of backwater profiles and backwater calculations are essential to the hydraulic engineering of open channel flows and its practical applications, including flood modelling. These are discussed in the relevant Youtube video movies in the same Playlist at:
{   / @hubert_chanson  }
 
Fluid mechanics and hydraulics in Hubert Chanson Youtube channel {   / @hubert_chanson  }
Fundamentals of open channel hydraulics [Playlist] {   • Fundamentals of open channel hydraulics  }
Advanced hydraulics of open channel flows [Playlist] {   • Advanced hydraulics of open channel flows  }
Environmental hydraulics of open channel flows [Playlist] {   • Environmental hydraulics of open channel flow  }
Applied hydraulics [Playlist] {   • Applied hydrodynamics  }

Froude number {   • Froude number  }
"To Reech" or "Not to Reech" {   • "To Reech" or "Not to Reech"  }
Backwater in open channels {   • Backwater in open channels  }
Longitudinal free-surface profiles in gradually-varied open channel flows {   • Longitudinal free-surface profiles in grad...  }
Specific energy in open channel flow {   • Specific energy in open channel flow  }
Critical flow conditions in open channels {   • Critical flow conditions in open channels  }
Critical flow calculations in open channels of irregular cross-sections {   • Critical flow calculations in open channel...  }
Flow resistance in open channels (1) Basic considerations {   • Flow resistance in open channels (1) Basic...  }
Mild slope and steep slope in open channel flow {   • Mild slope and steep slope in open channel  }

Acknowledgements
Professor Colin APELT
Ya-Hui CHOU

References
BRESSE, J.A. (1860). "Cours de Mécanique Appliquée Professé à l'Ecole des Ponts et Chaussées." Mallet-Bachelier, Paris, France (in French).
CHOW, V.T. (1973). "Open Channel Hydraulics." McGraw-Hill International, New York, USA.
CHANSON, H. (2004a). "The Hydraulics of Open Channel Flow: An Introduction." Butterworth-Heinemann, 2nd edition, Oxford, UK, 630 pages (ISBN 978 0 7506 5978 9).
CHANSON, H. (2004b). "Environmental Hydraulics of Open Channel Flows." Elsevier-Butterworth-Heinemann, Oxford, UK, 483 pages (ISBN 978 0 7506 6165 2).