2010
DOI: 10.1016/j.jher.2010.04.003
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Three-dimensional structures in a shallow flow

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Cited by 12 publications
(7 citation statements)
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“…Qðx; y; z ¼ 0:5Þ (2004) and Cieślik et al (2010). In this study, Q is determined for the center x, y-plane (z = 0.5).…”
Section: Application Of Q Criterionmentioning
confidence: 99%
“…Qðx; y; z ¼ 0:5Þ (2004) and Cieślik et al (2010). In this study, Q is determined for the center x, y-plane (z = 0.5).…”
Section: Application Of Q Criterionmentioning
confidence: 99%
“…Apparently, shallow flows generated under the conditions of the experiments reported by Akkermans et al (2008aAkkermans et al ( , 2008bAkkermans et al ( , 2009) and Cieślik et al (2009bCieślik et al ( , 2009c do not behave in a quasi-2D fashion, as is commonly assumed in experimental shallow-flow studies related to 2D turbulence, see e.g. Tabeling et al (1991), Danilov et al (2002) and Shats et al (2005Shats et al ( , 2007.…”
Section: The Effect Of Vertical Confinement Of Shallow-layer Flowsmentioning
confidence: 77%
“…Under the assumption of two-dimensionality, the vortices induced by the magnets would interact and gradually give rise to larger coherent vortex structures, as illustrated for example by the numerical simulations by McWilliams (1984). Recent experiments by Cieślik et al (2009bCieślik et al ( , 2009c on shallow flows driven electromagnetically by a regular array of 10 × 10 magnets have revealed a different flow evolution; however, in the post-forcing stage the flow shows large-scale meandering structures rather than vortices. This is clearly observed in the streak photographs presented in figure 8: during the forcing ( figure 8(a)) the flow is organized in a regular array of 10 × 10 counter-rotating cells, but some time after the forcing has stopped large meandering currents are visible throughout the flow domain ( figure 8(b)).…”
Section: The Effect Of Vertical Confinement Of Shallow-layer Flowsmentioning
confidence: 99%
“…The strain-dominated regions can be identified by Q > 0, while rotation-dominated regions can be identified by Q < 0. The Okubo-Weiss function is valid for two-dimensional flow and has been successfully used by, among others, Vosbeek et al (1997), Isern-Fontanet et al (2004, Molenaar et al (2004), Cieślik et al (2010) andvan Hooff et al (2012). Figure 11b, d shows distributions of Q for cases…”
Section: Instantaneous Velocity Vorticity ω Z and Okubo-weiss Funcmentioning
confidence: 99%