Spin-up in a rectangular tank with low angular velocity

Konijnenberg, J.A. van de; Andersson, Helge I.; Billdal, Jan Tore; Heijst, G. J. F. van

doi:10.1063/1.868287

Cited by 14 publications

(21 citation statements)

References 14 publications

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“…For example, van Heijst et al (1990) experimentally studied the spin-up process in a rectangular container. Konijnenberg et al (1994) also studied the spin-up process in a rectangular tank, both experimentally and numerically. Wells et al (2007) performed experiments and numerical simulations to investigate the production of small-scale vorticity near no-slip sidewalls of a container and to study the formation and decay of wall-generated quasi-two-dimensional vortical structures.…”

Section: Introductionmentioning

confidence: 99%

PIV measurements of a plane wall jet in a confined space at transitional slot Reynolds numbers

et al. 2012

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Wall jets are important for a wide variety of engineering applications, including ventilation of confined spaces and cooling and drying processes. Although a lot of experimental studies have been devoted to wall jets, many of these have focused on laminar or turbulent wall jets. There is a lack of experimental data on transitional wall jets, especially transitional wall jets released into a confined space or enclosure. This paper presents flow visualizations and high-resolution Particle Image Velocimetry measurements of isothermal transitional plane wall jets injected through a rectangular slot in a confined space. As opposed to many previous studies, not only the wall jet region but also the recirculation region in the remainder of the enclosure is analyzed. The data and analysis in this paper provide new insights into the behavior of transitional plane wall jets in a confined space and will be useful for the validation of numerical simulations of this type of jets.

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Section: Introductionmentioning

confidence: 99%

PIV measurements of a plane wall jet in a confined space at transitional slot Reynolds numbers

et al. 2012

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“…[8][9][10] The preferential vorticity distribution in a square container divided by a step topography, however, is a remarkable feature. Indeed, when the geometry of the container and the step orientation are different, a well-defined long-term configuration might not be obtained.…”

Section: Discussionmentioning

confidence: 99%

“…A similar configuration is found during the spin-up process in rectangular domains. 10,11 Another important topic is the role of the bottom topography in the establishment of these quasi-stationary final states of decaying 2D turbulent flows. The existence of a well-organized flow field due to topographic features is a robust result from which the final quasi-steady states can be predicted a priori using minimum-enstrophy arguments.…”

Section: Introductionmentioning

confidence: 99%

Preferential states of rotating turbulent flows in a square container with a step topography

et al. 2013

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The self-organization of confined, quasi-two-dimensional turbulent flows in a rotating square container with a step-like topography is investigated by means of laboratory experiments and numerical simulations based on a rigid lid, shallow-water formulation. The domain is divided by a bottom discontinuity into two rectangular regions, one being shallow and the other deep. The existence of a preferential vorticity distribution in the long-term evolution of the decaying flow is discussed. Initially, the turbulent flow organizes into larger structures. After a few rotation periods, a continuous jet-like flow is consistently observed along the step, with the shallow region at its right. This flow is associated with the adjustment of the fluid to equilibrium over a bottom discontinuity in an anti-clockwise rotating system. At the end of the step, two persistent structures are formed due to the collision of this jet with the vertical wall: a cyclonic circulation cell in the deep region, while an anticyclonic cell occurs in the shallow part of the domain. The laboratory experiments are well-reproduced by the simulations. Due to bottom friction effects, the fluid motion is halted before a complete organization of the flow is accomplished. In order to study the full process, additional numerical simulations were performed with zero Ekman friction. Same principal features are observed as in the experiments, but now a complete organization of the flow into four vortices is obtained: in the deep part of the flow domain, a cyclone-anticyclone pair is observed that fills up the entire region, and the mirrored double cell structure occurs on the shallow side. Such a disposition of the vortices is directly associated with the interaction of the flow along the step and the downstream wall at which it collides, as observed in the experiments. It is shown that this arrangement is systematically obtained in simulations with very different initial conditions. The existence of a preferential vorticity distribution induced by a topographic step is further discussed in terms of the aspect ratio of the domain. C 2013 American Institute of Physics. [http://dx

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“…This is a two-dimensional process; hence, it is independent of H . Van Heijst and co-workers (van Heijst 1989;van Heijst, Davies & Davis 1990;van de Konijnenberg et al 1994) noted this process in their experiments and Suh (1994) observed it in his numerical study; nevertheless, the nature of the process is not well understood. In particular, there are a number of distinct dynamical states that the system can attain during its evolution from rest to solid-body rotation.…”

Section: Introductionmentioning

confidence: 99%

Vortex evolution in non-axisymmetric impulsive spin-up from rest

1996

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The flow evolution of water in a completely filled rectangular container, impulsively rotated from rest to a steady angular speed, is investigated experimentally and numerically. The pathlines of the fluid from rest to solid-body rotation primarily follow one of two possible configurations that have been described previously in the literature. The first, consisting of two cyclones that form following the separation and roll-up of the sidewall boundary layers and an anticyclone that forms subsequently, results in a pattern on the path to spin-up of cyclonic -anticyclonic-cyclonic vorticity. In the second configuration the cyclones migrate into the interior of the container and merge, resulting in a pattern on the path to spin-up of anticyclonic-cyclonic--anticyclonic vorticity. The experiments provide a parameterization of the possible evolutionary configurations as a function of horizontal and vertical aspect ratios and Reynolds numbers. Critical Reynolds numbers for vortex merger are determined experimentally. Evolutionary configurations in addition to the primary two are observed; in particular symmetry breaking occurs at high Reynolds numbers causing complicated patterns of flow evolution. For some flow conditions at high Reynolds numbers, more than one evolutionary pattern is observed for the same external parameters. The experiments are conducted with a rigid lid showing that a free surface is not required for vortex merger. Numerical integrations of the two-dimensional Navier-Stokes equations (a situation corresponding to the limiting case of a container of infinite depth, where there are no effects from the top and bottom and all flow is horizontal) reproduce qualitatively many of the features of the experimental observations. in particular the merger events. The numerical results show that neither vertical flow due to Ekman boundary layers at the top and bottom nor a free surface are necessary for the observed vortex merger.

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Spin-up in a rectangular tank with low angular velocity

Cited by 14 publications

References 14 publications

PIV measurements of a plane wall jet in a confined space at transitional slot Reynolds numbers

PIV measurements of a plane wall jet in a confined space at transitional slot Reynolds numbers

Preferential states of rotating turbulent flows in a square container with a step topography

Vortex evolution in non-axisymmetric impulsive spin-up from rest

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