Quasi-adiabatic decay of vortex motion on the water surface

Филатов, С. В.; Левченко, А. А.; Лихтер, А. М.; Межов-Деглин, Л. П.

doi:10.1016/j.matlet.2019.07.059

Cited by 8 publications

(4 citation statements)

References 6 publications

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“…Each energy point was calculated at a certain point in time over the entire velocity field obtained by averaging the movement of tracers for 4.2 s in the time interval up to ~140 s, and then by averaging for 8.4 s in the time interval after 140 s. In Figure 7, arrows 1 and 2 mark the times corresponding to the times in Figures 5 and 6, respectively. After ~150 s, the decay of the energy of the vortex motion on the surface could be represented by the power law E~(1/t) n with the exponent close to n ≈ 1, as expected [18,19]. The blue arrows in Figure 7 show the temperature of liquid layer near the vessel bottom Tb at the corresponding time points.…”

Section: Resultssupporting

confidence: 58%

“…In Figure 7, arrows 1 and 2 mark the times corresponding to the times in Figures 5 and 6, respectively. After ~150 s, the decay of the energy of the vortex motion on the surface could be represented by the power law E~(1/t) n with the exponent close to n ≈ 1, as expected [18,19]. The blue arrows in Figure 7 show the temperature of liquid layer near the vessel bottom T b at the corresponding time points.…”

Section: Discussionsupporting

confidence: 58%

“…So, the large-scale vortices are characterized by a high Re that indicates to the strong nonlinear interaction between the vortices. Moreover, one should wait that when the energy pumping from the bulk was switched off, at temperatures T far above 2.2 K, the mutual interaction between vortices and their interaction with the vessel bottom and sidewalls should lead to the power-law dependence of the energy decay on time [17][18][19].…”

Section: Resultsmentioning

confidence: 99%

“…Any turbulent flow in the volume of He-I layer heated from above decays rapidly with an increase in the layer temperature above T m . Note that in the absence of bulk pumping, at Tb > Tm, the total energy of large-scale vortices with characteristic dimensions twice the layer thickness (in the 2D situation according to the works in [17][18][19]) decreased with time as E~(1/t) n , where the exponent n varied from 1 to 2 in different experiments.…”

Section: Discussionmentioning

confidence: 95%

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Vortex Flow on the Surface Generated by the Onset of a Buoyancy-Induced Non-Boussinesq Convection in the Bulk of a Normal Liquid Helium

2021

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The onset of the Rayleigh–Benard convection (RBC) in a heated from above normal He-I layer in a cylindrical vessel in the temperature range Tλ < T ≤ Tm (RBC in non-Oberbeck–Boussinesq approximation) is attended by the emergence of a number of vortices on the free liquid surface. Here, Tλ = 2.1768 K is the temperature of the superfluid He-II–normal He-I phase transition, and the liquid density passes through a well-pronounced maximum at Tm ≈ Tλ + 6 mK. The inner vessel diameter was D = 12.4 cm, and the helium layer thickness was h ≈ 2.5 cm. The mutual interaction of the vortices between each other and their interaction with turbulent structures appeared in the layer volume during the RBC development gave rise to the formation of a vortex dipole (two large-scale vortices) on the surface. Characteristic sizes of the vortices were limited by the vessel diameter. The formation of large-scale vortices with characteristic sizes twice larger than the layer thickness can be attributed to the arising an inverse vortex cascade on the two-dimensional layer surface. Moreover, when the layer temperature exceeds Tm, convective flows in the volume decay. In the absence of the energy pumping from the bulk, the total energy of the vortex system on the surface decreases with time according to a power law.

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Section: Resultssupporting

confidence: 58%

Section: Discussionsupporting

confidence: 58%

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 95%

See 2 more Smart Citations

Vortex Flow on the Surface Generated by the Onset of a Buoyancy-Induced Non-Boussinesq Convection in the Bulk of a Normal Liquid Helium

2021

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Weakly Damped Vortex Flow on the Free Surface of a Normal Helium He-I Layer

2021

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The evolution of vortices on the surface of normal He I

Pelmenev

Левченко

Межов-Деглин

2020

Low Temperature Physics

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Thermogravitational convection (Rayleigh—Bénard convection, RBC) occurs in a layer of normal He I heated from above, at temperatures below the liquid density maximum of 4He T ≤ Tm = 2.178 K. It is experimentally established that the appearance of RBC in the bulk of the layer is accompanied by the excitation of a vortex flow on the free surface of He I. With time, small vortices form two large-scale vortices (vortex dipole) in a cylindrical vessel, the dimensions of which are limited by the vessel’s diameter. As the temperature of the liquid rises above Tm, the convective motion in the bulk of the nonuniformly heated layer rapidly decays, but the vortex flow on the surface of He I is conserved. The results of studying the vortex system evolution in the absence of RBCs (without energy pumping) show that, during long-term observations (over 1300 s), the non-linear interaction between weakly damped large-scale vortices leads to the appearance of small vortices on the surface of He I.

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Quasi-adiabatic decay of vortex motion on the water surface

Cited by 8 publications

References 6 publications

Vortex Flow on the Surface Generated by the Onset of a Buoyancy-Induced Non-Boussinesq Convection in the Bulk of a Normal Liquid Helium

Vortex Flow on the Surface Generated by the Onset of a Buoyancy-Induced Non-Boussinesq Convection in the Bulk of a Normal Liquid Helium

Weakly Damped Vortex Flow on the Free Surface of a Normal Helium He-I Layer

The evolution of vortices on the surface of normal He I

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