Dam break flow; energy conservation; mechanical energy; specific energy; unsteady Bernoulli equation
Abstract :
[en] We examine different aspects of energy conservation in the case of the analytical solution of Ritter for idealized dam break flow in a horizontal frictionless and dry channel. We detail the application of the unsteady Bernoulli equation in this case and highlight that the inertial effects cancel out when averaged over the whole flow region. We also show that the potential and kinetic contributions to the total mechanical energy in the flow region have a distinct and constant relative importance: potential energy accounts for 60 %, and kinetic energy for 40 % of the total mechanical energy. These properties of Ritter solution are rarely emphasized while they may be of practical relevance, particularly for the verification of numerical schemes with respect to their ability to ensure energy conservation.
Research center :
Aquapôle - ULiège
Disciplines :
Civil engineering
Author, co-author :
Dewals, Benjamin ; Université de Liège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Bruwier, Martin ; Université de Liège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Erpicum, Sébastien ; Université de Liège > Scientifiques attachés au Doyen (Sc.appliquées)
Pirotton, Michel ; Université de Liège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Archambeau, Pierre ; Université de Liège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Language :
English
Title :
Energy conservation properties of Ritter solution for idealized dam break flow
Publication date :
2016
Journal title :
Journal of Hydraulic Research
ISSN :
0022-1686
eISSN :
1814-2079
Publisher :
International Association for Hydraulic Research, Delft, Netherlands
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