Palabras clave
air bubble entrainment
Cómo citar
Resumen
We establish a framework for describing the spatial and temporal distribution of entrained air bubbles under breaking surface waves. The computational framework is based on a large eddy simulation (LES) in 3-D together with a VOF treatment of the air-water interface. An Eulerian multiphase approach is used in order to track the entrained bubbles as a number density distribution. Examples of numerical results for breaking periodic surf zone waves are illustrated.Referencias
Carrica P.M., Drew D.A., Bonetto F. and Lahey R.T. Jr., 1999, A polydisperse model for bubbly two-phase flow around a surface ship, Int. J. Multiphase Flow, 25, 257-305
Deane G.B. and Stokes M.D., 2002, Scale dependence of bubble creation mechanisms in breaking waves, Nature, 418, 839-844
Jeong J. and Hussain F., 1995, On the identification of a vortex, J. Fluid Mech., 285, 69-94
Kataoka I. and Serizawa A., 1989, Basic equations of turbulence in gas-liquid two-phase flow, Int. J. Multiphase Flow, 15, 843-855
Lopez de Bertodano M., Lahey R.T. Jr. and Jones O.C., 1994, Development of a k-e model for bubbly two-phase flow, J. Fluids Eng., 116, 128-134
Ma G., Shi F. and Kirby J.T., 2011, A polydisperse two-fluid model for surf zone bubble simulation, J. Geophys. Res., 116, doi:10.1029/2010JC006667http://dx.doi.org/10.1029/2010JC006667">http://dx.doi.org/10.1029/2010JC006667
Martínez-Bazán C., Montañés J.L. and Lasheras J.C., 1999, On the breakup of an air bubble injected into a fully developed turbulent flow. Part 1. Breakup frequency, J. Fluid Mech., 401, 157-182.
Martínez-Bazán C., Montañés J.L. and Lasheras J.C., 1999, On the breakup of an air bubble injected into a fully developed turbulent flow. Part 2. Size PDF of the resulting daughter bubbles, J. Fluid Mech., 401, 183-207.
Martínez-Bazán C., Rodr´rguez-Rodríguez J., Deane G.B., Montañes J.L. and Lasheras J.C., 2010, Considerations on bubble fragmentation models, J. Fluid Mech., 661, 159-177.
Moraga F.J., Carrica P.M., Drew D.A. and Lahey R.T. Jr., 2008, A sub-grid air entrainment model for breaking bow waves and naval surface ships, Comp. Fluids, 37, 281-298
Nadaoka K., Hino M. and Koyano Y., 1989, Structure of the turbulent flow field under breaking waves in the surf zone, J. Fluid Mech., 204, 359-387
Serizawa A. and Kataoka I., 1990, Turbulence suppression in bubbly two-phase flow, Nuclear Eng. Design, 122, 1-16
Sridhar G. and Katz J., 1999, Eect of entrained bubbles on the structure of vortex rings, J. Fluid Mech., 397, 171-202
Ting F.C.K. and Nelson J.R., 2011, Laboratory measurements of large-scale near-bed turbulent flow structures under spilling regular waves, Coastal Engineering, 58, 151-172
Watanabe Y., Saeki H. and Hosking R.J., 2005, Three-dimensional vortex structures under breaking waves, J. Fluid Mech., 545, 291-328