Energy spectrum of the velocity field induced by a fractal vortex line in superfluid helium

2008 ◽  
Vol 34 (4) ◽  
pp. 293-297
Author(s):  
S. K. Nemirovskiĭ ◽  
V. A. Andryushchenko
Keyword(s):  
Energy Spectrum ◽  
Velocity Field ◽  
Superfluid Helium ◽  
Vortex Line

Quantised vortex line visualisation in superfluid helium using low-temperature optics

2003 ◽  
Vol 329-333 ◽  
pp. 220-221 ◽  
Author(s):  
James R.T. Seddon ◽  
Michael S. Thurlow ◽  
Matthew J. Lees ◽  
Peter G.J. Lucas
Keyword(s):  
Low Temperature ◽  
Superfluid Helium ◽  
Vortex Line

scholarly journals Fractional hyperviscosity induced growth of bottlenecks in energy spectrum of Burgers equation solutions

2019 ◽  
Vol 92 (9) ◽  
Author(s):  
Debarghya Banerjee
Keyword(s):  
Energy Spectrum ◽  
Velocity Field ◽  
Burgers Equation ◽  
Space Velocity ◽  
Real Space ◽  
Analytical Results ◽  
Turbulent Fluids ◽  
Dissipation Range

Abstract Energy spectrum of turbulent fluids exhibit a bump at an intermediate wavenumber, between the inertial and the dissipation range. This bump is called bottleneck. Such bottlenecks are also seen in the energy spectrum of the solutions of hyperviscous Burgers equation. Previous work have shown that this bump corresponds to oscillations in real space velocity field. In this paper, we present numerical and analytical results of how the bottleneck and its real space signature, the oscillations, grow as we tune the order of hyperviscosity. We look at a parameter regime α ∈ [1, 2] where α = 1 corresponds to normal viscosity and α = 2 corresponds to hyperviscosity of order 2. We show that even for the slightest fractional increment in the order of hyperviscosity (α) bottlenecks show up in the energy spectrum. Graphical abstract

Effect of an electric field on the energy spectrum and hydrodynamics of superfluid helium

1986 ◽  
Vol 34 (5) ◽  
pp. 1900-1905
Author(s):  
P. N. Brusov ◽  
E. D. Gutlyanskii ◽  
V. N. Popov
Keyword(s):  
Energy Spectrum ◽  
Electric Field ◽  
Superfluid Helium

The vortex line in steady, incompressible Oseen flow

2005 ◽  
Vol 462 (2066) ◽  
pp. 391-401 ◽  
Author(s):  
Edmund Chadwick
Keyword(s):  
Velocity Field ◽  
Vortex Line ◽  
Horseshoe Vortex ◽  
Transverse Plane ◽  
Far Field ◽  
Two Dimensional ◽  
Streamwise Direction ◽  
Oseen Flow ◽  
Laminar Wake ◽  
Oseen Vortex

The horseshoe vortex is given in Oseen flow as a constant spanwise distribution of lift Oseenlets. From this, the vortex line is represented in steady, incompressible Oseen flow. The velocity near to the vortex line is determined, as well as near to and far from the far field wake. The velocity field in the transverse plane near to the vortex line is shown to approximate to the two-dimensional Lamb–Oseen vortex, and the velocity field in the streamwise direction is generated by the bound vortex line of the horseshoe vortex giving a streamwise decay much faster than that of the Batchelor vortex. The far field wake description is shown to be consistent with laminar wake theory.

scholarly journals OBSERVATION OF NEARSHORE CURRENT AND EDGE WAVES

1978 ◽  
Vol 1 (16) ◽  
pp. 45 ◽  
Author(s):  
Tamio O. Sasaki ◽  
Kiyoshi Horikawa
Keyword(s):  
Energy Spectrum ◽  
Velocity Field ◽  
Conceptual Models ◽  
Edge Waves ◽  
Nearshore Zone ◽  
Nodal Lines ◽  
Spatial Velocity ◽  
Sloping Beach

Nodal lines normal to the shoreline of infragravity low mode edge waves in the nearshore zone were observed with eleven wave staffs simultaneously with the nearshore current spatial velocity field on a gently sloping beach. About five peaks were found in the energy spectrum and their frequencies agreed well with cut-off mode edge waves [Huntley(1976)]. Based on the above observation, conceptual models of nearshore current patterns for the infragravity domain are proposed and general current patterns for the three domains are discussed by combining the horizontal patterns of Harris(1969) and the vertical patterns of Sasaki et al.(1976).

Free Surface of a Rotating HeII Film

1973 ◽  
Vol 51 (21) ◽  
pp. 2283-2286 ◽  
Author(s):  
E. Vittoratos ◽  
M. W. Cole ◽  
P. P. M. Meincke
Keyword(s):  
Thin Films ◽  
Free Surface ◽  
Superfluid Helium ◽  
Vortex Line ◽  
Rotational Frequency ◽  
Experimental Results ◽  
Quantized Vortex ◽  
Bulk Liquid ◽  
Vapor Interface ◽  
Vortex Lines

Stimulated by recent conflicting experimental results, we have investigated the properties of quantized vortex lines in thin films of superfluid helium. The shape of the liquid–vapor interface in the presence of a single line is calculated. The depression of the interface ("dimple") that results is considerably smaller for the film than for the bulk liquid. The critical rotational frequency for the appearance of the first vortex line is only slightly reduced below the bulk value.

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