Abstract
At the outlet of estuary-like systems, three vortices are formed: a dipole and a spanwise vortex. The spanwise vortex is formed due to the separation of the bottom boundary layer, just in front of the dipole. If a step occurs at the bottom in the channel output, a single vortex will be formed, the dipole becomes a part of a structure having a horseshoe shape. In a periodic driving flow, after a while this structure results in a dipole and a spanwise vortex. To study in laboratory this kind of vortices we made experiments in a system consisting of two domains connected by a channel in which the flow is induced by a periodic forcing. The channel layer depth is different with respect the depth in the two others domains. In order to investigate this system some measurements of velocity field using PIV were carried out in the vertical plane passing along the channel centerline. On the other hand, the detection of vortices composing the dipole was made with the synthetic Schlieren method. Vortices are low pressure regions, then they produce a deformation of the free surface which can be detected with this method. We observed that at the channel output a horseshoe vortex is formed by the flushing into the open domain. This structure remains for some time, after it decomposes in a dipole and a spanwise vortex. Finally all three vortices are destroyed.
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References
Albagnac J (2010) Dynamique tridimensionnelle de dipoles tourbillonnaires en eau peu profonde. Thèse de doctorat, Université Paul Sabatier Toulouse III Institut de Mcanique des Fluides de Toulouse, France
Albagnac J, Lacaze L, Brancher P, Eiff O (2011) On the existence and evolution of a spanwise vortex in laminar shallow water dipoles. Phys Fluids 23:086601
Billant P, Brancher P, Chomaz JM (1999) Three dimensional stability of a vortex pair. Phys Fluids 11:2069-2077
Crow SC (1970) Stability theory for a pair of trailing vortices. AIAA J 8(12):2172
del Roure Nicolau F, Sokolofsky SA, Chang K (2009) Structure and evolution of tidal starting jet vortices at idealized barotropic inlets. J Geophys Res 114:C05024
Dritschel DG (1986) The nonlinear evolution of rotating configutations of uniform vorticity. J Fluid Mech 172:157–182
Everio JVC (2011) CAMCORDER Detailed User Guide. Victor Company of Japan website. http://manual3.jvckenwood.com/c1c/lyt2339-010sp/
Lacaze L, Brancher P, Eiff O, Labat L (2010) Experimental characterizat ion of the 3D dynamics of a laminar shallow vortex dipole. Exp Fluids 48:225–231
Landau LD, Liftshitz EM (1987) Fluid mechanics. Pergamon Press, Oxford, UK
Lopez-Sanchez E.J (2013) Vorticidad y transporte de partculas en un flujo peridico a la salida de un canal. PhD thesis. Facultad de Ciencias, UNAM, México
Lopez-Sanchez EJ, Ruiz-Chavarria G (2014) Transport of particles in a periodically forced flow. In: Experimental and computational fluid mechanics. Springer International Publishing, pp 271–278
Lopez-Sanchez EJ, Ruiz-Chavarria G (2015) Numerical simulation of the spanwise vortex in a periodic forced flow. submitted to: Experimental and computational fluid mechanics. Springer International Publishing
Meunier P, Leweke T (2003) Analysis and minimization of errors due to high gradients in Particle Image Velocimetry. Exp Fluids 35(5):408–421
Meunier P, Leweke T, Lebescond R, Van Aughem B, Wang C (2004) DPIVsoft. User guide. Institut de Recherche sur les Phnomnes Hors Equilibre. UMR 6594 CNRS / Universits Aix-Marseille I et II, Francia
Moisy F, Rabaud M, Salsac K (2009) A synthetic Schlieren method for the measurement of the topography of a liquid interface. Exp Fluids 46:10211036
Raffel M, Willert CE, Wereley ST, Kompenhans J (1997) Particle image velocimetry: a practical guide. Springer, Berlin
Ruiz-Chavarria G, Lopez-Sanchez EJ (2016) Formation of multiple dipoles in a periodic driving flow. submitted to: Phys. Fluids, AIP
Villamil Sapien P, Sánchez Calvo González I, Lopez-Sanchez EJ and Ruíz Chavarría G (2015) Erosion and deposition of particles in a periodic forced flow. In: Klapp J et al. (eds) Selected topics of computational and experimental fluid mechanics, environmental science and engineering. Springer International Publishing, pp 447–453
Wells MG, van Heijst G-JF (2003) A model of tidal flushing of an estuary by dipole formation. Dyn Atmos Oceans 37:223–244 (Elsevier)
Acknowledgments
Authors acknowledge DGAPA-UNAM by support under project IN116312 (Vorticidad y ondas no lineales en fluidos). E. J. López-Sánchez thanks CONACYT and IPN.
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López-Sánchez, E.J., García-Molina, C.D., Ruiz-Chavarría, G., Medina, A. (2016). Experimental Study of a Vortex Generated at the Edge of a Channel with a Step. In: Klapp, J., Sigalotti, L.D.G., Medina, A., López, A., Ruiz-Chavarría, G. (eds) Recent Advances in Fluid Dynamics with Environmental Applications. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-27965-7_3
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DOI: https://doi.org/10.1007/978-3-319-27965-7_3
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