Air entrainment; Air entrapment; Multiphase flow; air–water flow; drift-flux model; écoulement aéré; entrainement d'air; écoulement multiphasique
Résumé :
[en] Mixed flows characterized by a simultaneous occurrence of free surface and pressurized flows are often encountered in hydraulic engineering. Numerous researches have been dedicated to unify the mathematical description of both flows. Herein, shock-capturing models succeed in giving a unique set of equations. However, no method accounts for both air-entrapment and air-entrainment. This study proposes an original model to simulate air–water interactions in mixed flows. The new approach relies on the area-integration of a three-phase model over two layers. The applicability of this free surface model is extended to pressurized flows by a modified pressure term accounting for the dispersed air. The derived modelling system WOLF IMPack is then validated. The code successfully simulates open channel flows, mixed flows and water hammer in a unified framework, including air–water interactions, in structures like the drainage network.
Centre de recherche :
Aquapôle - ULiège
Disciplines :
Ingénierie civile
Auteur, co-auteur :
Kerger, François ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Archambeau, Pierre ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Dewals, Benjamin ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Erpicum, Sébastien ; Université de Liège - ULiège > Services généraux (Faculté des sciences appliquées) > Scientifiques attachés au Doyen (Sc.appliquées)
Pirotton, Michel ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Hydrodynamique appl. et constructions hydrauliques (HACH)
Langue du document :
Anglais
Titre :
Three‐phase Bi‐layer Model for Simulating Mixed Flows
Date de publication/diffusion :
juin 2012
Titre du périodique :
Journal of Hydraulic Research
ISSN :
0022-1686
eISSN :
1814-2079
Maison d'édition :
International Association for Hydraulic Research, Delft, Pays-Bas
Audusse, E., Bristeau, M.-O. (2007). Finite-Volume solvers for a multilayer Saint-Venant System. Int. J. Applied Math. Computer Science 17(3), 311-320. (Pubitemid 47585305)
Bourdarias, C., Gerbi, S. (2008). A conservative model for unsteady flows in deformable closed pipes and its implicit second order Finite Volume discretisation. Computers & Fluids 37(10), 1225-1237.
Bourdarias, C., Gerbi, S., Gisclon, M. (2008). A kinetic formulation for a model coupling free surface and pressurized flows in closed pipes. J. Comp. Applied Mathematics 218(2), 522-532.
Dewals, B.J., Erpicum, S., Archambeau, P., Detrembleur, S., Pirotton, M. (2006). Depth-integrated flow modelling taking into account bottom curvature. J. Hydraulic Res. 44(6), 787-795.
Erpicum, S., Dewals, B.J., Archambeau, P., Pirotton, M. (2009). Dam-break flow computation based on an efficient flux-vector splitting. J. Comput. Appl. Math. 234(7) 2143-2151.
Guinot, V. (2001). Numerical simulation of two-phase flow in pipes using Godunov method. Int. J. Numerical Methods Eng. 50(5), 1169-1189. (Pubitemid 32258673)
Guo, Q., Song, C. (1990). Surging in urban storm drainage systems. J. Hydraulic Eng. 116(12), 1523-1537.
Guo, Q., Song, C. (1991). Dropshaft hydrodynamics under transient conditions. J. Hydraulic Eng. 117(8), 1042-1055. (Pubitemid 21680315)
Ishii, M., Hibiki, T. (2006). Thermo-fluid dynamics of two-phase flow. Springer Science, New York.
Jha, S., Bombardelli, F. (2009). Two-phase modeling of turbulence in dilute sediment-laden, open-channel flows. Env. Fluid Mech. 9(2), 237-266.
Kerger, F. (2010). Modelling transient air-water flows in civil and environmental engineering. PhD Thesis. ArGEnCo, University of Liège, Liège.
Kerger, F., Archambeau, P., Erpicum, S., Dewals, P., Pirotton, M. (2009). Simulation numérique des écoulements mixtes hautement transitoire dans les conduites d'évacuation des eaux. La Houille Blanche 64(5), 159-167 [in French].
Kerger, F., Archambeau, P. , Erpicum, S., Dewals, P., Pirotton, M. (2011a). An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows. J. Comp. Applied Mathematics 235(8), 2030-2040.
Kerger, F., Archambeau, P. , Erpicum, S., Dewals, P., Pirotton, M. (2011b).1Dunified mathematical model for environmental flow applied to steady aerated mixed flows. Adv. Eng. Software 42(9), 660-670.
Leon, A., Ghidaoui, M.S., Schmidt, A.R., Garcia, M.H. (2008). Application of Godunov-type schemes to transient mixed flows. J. Hydraulic Res. 47(2), 147-156.
Leon, A., Ghidaoui, M.S., Schmidt, A.R., Garcia, M.H. (2010). A robust two-equation model for transient-mixed flows. J. Hydraulic Res. 48(1), 44-56.
Li, J., McCorquodale, A. (1999). Modeling mixed flow in storm sewers. J. Hydraulic Eng. 125(11), 1170-1180. (Pubitemid 30049678)
Politano, M., Odgaard, A.J., Klecan, W. (2007). Numerical evaluation of hydraulic transients in a combined sewer overflow tunnel system. J. Hydraulic Res. 133(10), 1103-1110. (Pubitemid 47456366)
Shu, J.-J. (2003). Modelling vaporous cavitation on fluid transients. Int. J. Pressure Vessels & Piping 80(3), 187-195. (Pubitemid 37050028)
Vasconcelos, J., Wright, S. (2005). Experimental investigation of surges in a stormwater storage tunnel. J. Hydraulic Eng. 131(10), 853-861. (Pubitemid 41419820)
Vasconcelos, J.G., Wright, S.J., Roe, P.L. (2006). Improved simulation of flow regime transition in sewers: The twocomponent pressure approach. J. Hydraulic Eng. 132(6), 553-562. (Pubitemid 43733054)
Vasconcelos, J.G.,Wright, S.J. (2007). Comparison between the two-component pressure approach and current transient flow solvers. J. Hydraulic Res. 45(2), 178-187. (Pubitemid 46614139)
Vasconcelos, J.G., Wright, S.J. (2009). Investigation of rapid filling of poorly ventilated stormwater storage tunnels. J. Hydraulic Res. 47(5), 547-558.
Vasconcelos, J.G., Wright, S.J., Roe, P.L. (2009). Numerical oscillations in pipe-filling bore predictions by shock-capturing models. J. Hydraulic Eng. 135(4), 296-305.
Zhou, F., Hicks, F.E., Steffler, P.M. (2002). Transient flow in a rapidly filling horizontal pipe containing trapped air. J. Hydraulic Eng. 128(6), 625-634. (Pubitemid 34724749)
