Stability and supercritical regimes of quasi-two-dimensional shear flow in the presence of external friction (experiment)

Krymov, V. A.

doi:10.1007/bf01075144

Cited by 10 publications

(8 citation statements)

References 6 publications

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“…I n accordance with weakly nonlinear theory and with previous experimental results of Krymov (1989), the Reynolds stresses depend linearly on supercriticality s = R,/R,*-1 (see figure 4). This corresponds to a subcritical instability and is consistent with the Hopf bifurcation theory, according to which the disturbance amplitude is proportional to the square root of the controlling external parameter.…”

Section: Mean Velocity Mean Vorticity and Reynolds Stressessupporting

confidence: 91%

“…The applicability of the governing Q2D equation 1is confirmed by its ability to predict stability characteristics of laboratory flows, demonstrated by Krymov (1989) and Krymov & Manin (1989). Nevertheless it is especially interesting to test it directly by immediate substitution of the experimental velocity field into (1).…”

Section: Testing the Q2d Approximationmentioning

confidence: 84%

“…We provide here a brief description of previous experimental results obtained by Dovzhenko & Krymov (1983), Krymov (1989) and Krymov & Manin (1989) as background for the new results. (See also the review by , where experimental results by different authors were interpreted in terms of the Q2D stability theory.)…”

Section: Principal Features Of Experimental Flowsmentioning

confidence: 87%

“…At larger Reynolds numbers the vortices are more rounded and more tilted. In Krymov (1989) it was shown that the slopes of the dependence of width and tilt of vortices can in the same sense serve as a measure of amplitude. Note also that there is no correlation between these values and the depth h of the fluid layer.…”

Section: Mean Velocity Mean Vorticity and Reynolds Stressesmentioning

confidence: 99%

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An advanced experimental investigation of quasi-two-dimensional shear flow

1992

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Forced shear flows in a thin layer of an incompressible viscous fluid are studied experimentally. Streak photographs are used to obtain the stream function of vortical flow patterns arising after the primary shear flow loses stability. Various flow characteristics are determined and results are compared to the stability theory of quasi-two-dimensional flows. The applicability of the quasi-two-dimensional approximation is directly verified and the possibility of reconstruction of the driving force from the secondary flow pattern is demonstrated.

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Section: Mean Velocity Mean Vorticity and Reynolds Stressessupporting

confidence: 91%

Section: Testing the Q2d Approximationmentioning

confidence: 84%

Section: Principal Features Of Experimental Flowsmentioning

confidence: 87%

Section: Mean Velocity Mean Vorticity and Reynolds Stressesmentioning

confidence: 99%

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An advanced experimental investigation of quasi-two-dimensional shear flow

1992

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“…[10][11][12] In such experiments, a stable shear layer is obtained for weakly forced flows. At critical values of the Reynolds number, the shear flow becomes unstable and a chain of vortices is observed.…”

Section: Introductionmentioning

confidence: 99%

The evolution of a continuously forced shear flow in a closed rectangular domain

Vera

Sansón

2015

Physics of Fluids

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A shallow, shear flow produced by a constant Lorentz force in a closed rectangular domain is studied by means of laboratory experiments and numerical simulations. We consider different horizontal aspect ratios of the container and magnitudes of the electromagnetic forcing. The shear flow consists of two parallel opposing jets along the long side of the rectangular tanks. Two characteristic stages were observed. First, the flow evolution is dominated by the imposed forcing, producing a linear increase in time of the velocity of the jets. During the second stage, the shear flow becomes unstable and a vortex pattern is generated, which depends on the aspect ratio of the tank. We show that these coherent structures are able to survive during long periods of time, even in the presence of the continuous forcing. Additionally, quasi-regular variations in time of global quantities (two-dimensional (2D) energy and enstrophy) was found. An analysis of the quasi-two-dimensional (Q2D) energy equation reveals that these oscillations are the result of a competition between the injection of energy by the forcing at a localized area and the global bottom friction over the whole domain. The capacity of the system to gain and dissipate energy is in contrast with an exact balance between these two effects, usually assumed in many situations. Numerical simulations based on a quasi-two-dimensional model reproduced the main experimental results, confirming that the essential dynamics of the flow is approximately bidimensional. C 2015 AIP Publishing LLC. [http://dx.

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Stability of Quasi-Two-Dimensional Shear Flows and Jets in Rotating Fluids

Dolzhansky¹,

Manin²

1990

Nonlinear Waves 3

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Stability and supercritical regimes of quasi-two-dimensional shear flow in the presence of external friction (experiment)

Cited by 10 publications

References 6 publications

An advanced experimental investigation of quasi-two-dimensional shear flow

An advanced experimental investigation of quasi-two-dimensional shear flow

The evolution of a continuously forced shear flow in a closed rectangular domain

Stability of Quasi-Two-Dimensional Shear Flows and Jets in Rotating Fluids

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