Search results for " superfluid helium"

showing 10 items of 10 documents

Thermodynamics of computation and linear stability limits of superfluid refrigeration of a model computing array

2019

We analyze the stability of the temperature profile of an array of computing nanodevices refrigerated by flowing superfluid helium, under variations in temperature, computing rate, and barycentric velocity of helium. It turns out that if the variation in dissipated energy per bit with respect to temperature variations is higher than some critical values, proportional to the effective thermal conductivity of the array, then the steady-state temperature profiles become unstable and refrigeration efficiency is lost. Furthermore, a restriction on the maximum rate of variation in the local computation rate is found.

General MathematicsComputationGeneral Physics and Astronomychemistry.chemical_element01 natural sciences010305 fluids & plasmasSuperfluidityThermal conductivityStability analysi0103 physical sciencesComputer refrigeration; Stability analysis; Superfluid Helium; Thermodynamics of Computation010306 general physicsComputer refrigerationSettore MAT/07 - Fisica MatematicaHeliumPhysicsApplied MathematicsRefrigerationStability analysisMechanicsDissipationThermodynamics of ComputationchemistrySuperfluid helium-4Linear stabilitySuperfluid Helium
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Nonlinear Kelvin waves on a quantized vortex line in superfluid helium

2013

In this paper we show an exact solution (Kelvin wave) of an approximated dynamical equation for a quantized vortex line in helium superfluid at finite temperature. It is shown that the applied heat flux interacts with the vortex line, and the amplitude of the Kelvin wave can grow (the so-called Donnelly instability) or decrease according with the mutual direction between heat flux and wave vector.

Kelvin waves vortex filament superfluid helium eulerian fluid.Settore MAT/07 - Fisica Matematica
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Production of zero energy radioactive beams through extraction across superfluid helium surface

2003

A radioactive Ra-223 source was immersed in superfluid helium at 1.2-1.7 K. Electric fields transported recoiled Rn-219 ions in the form of snowballs to the surface and further extracted them across the surface. The ions were focussed onto an aluminium foil and alpha particle spectra were taken with a surface barrier spectrometer. This enabled us to determine the efficiency for each process unambiguously. The pulsed second sound wave proved effective in enhancing the extraction of positive ions from the surface. Thus we offer a novel method for study of impurities in superfluid helium and propose this method for production of zero energy nuclear beams for use at radioactive ion beam facilit…

Materials scienceIon beamSpectrometerLiquid heliumSNOWBALLSAlpha particleNUCLEAR-SPIN POLARIZATIONCondensed Matter PhysicsElectronic Optical and Magnetic Materialslaw.inventionIonimpurities in superfluid heliumlawradioactive snowballsElectric fieldSecond soundPhysics::Accelerator PhysicsElectrical and Electronic EngineeringAtomic physicssecond sound waveradioactive ion beamsSuperfluid helium-4LIQUID HELIUMCORE IONSPhysica B: Condensed Matter
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HEAT FLUX IN SUPERFLUID TRANSITION AND IN TURBULENT HELIUM COUNTERFLOW

Normal fluid profileRadial flow Vortex diffusionTwo-fluid modelHelium 4Ballistic regimeInhomogeneous vortex tangles.lambda TransitionHeat transferQuantized vorticeEffective thermal conductivityTurbulent superfluid helium ( He II)One-fluid modelExtended Irreversible ThermodynamicEntrance regionSettore MAT/07 - Fisica MatematicaLongitudinal flow
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Contribution of the normal component to the thermal resistance of turbulent liquid helium

2015

Previous results for the velocity profile of the normal component of helium II in counterflow are used to evaluate the viscous contribution to the effective thermal resistance. It turns out that such a contribution becomes considerably higher than the usual Landau estimate, because in the presence of vortices, the velocity profile is appreciably different from the Poiseuille parabolic profile. Thus, a marked increase in the contribution of the normal component to the thermal resistance with respect to the viscous Landau estimate does not necessarily imply that the normal component is turbulent. Furthermore, we examine the influence of a possible slip flow along the walls when the radius of …

PhysicsCondensed matter physicsTurbulenceApplied MathematicsGeneral MathematicsThermal resistanceQuantum turbulenceGeneral Physics and AstronomyRadiusHagen–Poiseuille equationVortexPhysics::Fluid DynamicsThermal resistance – Superfluid helium – Quantum turbulence – Normal componentBoundary value problemSettore MAT/07 - Fisica MatematicaSuperfluid helium-4Zeitschrift für angewandte Mathematik und Physik
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Second sound near lambda transition in presence of quantum vortices

2018

In this paper, temperature waves (also known as second sound) are consid- ered, with their respective coupling with waves in the order parameter describing the transition from normal phase to superfluid phase, and with waves in the vortex length density. We analyze the coupling between these three kinds of waves and explore its relevance in situations not far from the lambda transition. In particular, the expres- sions for the second sound speed and second sound attenuation are explicitly obtained within some approximations, showing the influence of the order parameter and the vortex length density, which is decisive close to the transition.

PhysicsCouplingApplied MathematicsGeneral MathematicsAttenuation010102 general mathematicsPhase (waves)Lambda transition01 natural sciences010305 fluids & plasmasVortexSuperfluidityQuantum electrodynamics0103 physical sciencesSecond sound0101 mathematicsQuantumSettore MAT/07 - Fisica MatematicaSecond sound Lambda phase transition Superfluid helium Quantum vortices
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Longitudinal counterflow in turbulent liquid helium: velocity profile of the normal component

2013

In this paper, the velocity profile of the normal component in the stationary flow of turbulent superfluid helium inside a cylindrical channel is determined, making use of a one-fluid model with internal variables derived from Extended Thermodynamics. In the hypothesis of null barycentric velocity of the fluid (the so-called counterflow situation) it is seen that, in the presence of a sufficiently high vortex length density, the velocity profile of the normal component becomes very flat in the central region of the channel. Thus, a central flat profile of the normal fluid does not necessarily imply that the flow of the normal component is turbulent.

PhysicsTurbulenceChézy formulaLiquid heliumApplied MathematicsGeneral MathematicsFlow (psychology)Normal componentGeneral Physics and AstronomyMechanicsNull (physics)Vortexlaw.inventionPhysics::Fluid DynamicsClassical mechanicslawTurbulent superfluid helium. Normal fluid profile. One-fluid model. Quantized vortices. Heat transfer.Settore MAT/07 - Fisica MatematicaSuperfluid helium-4Zeitschrift für angewandte Mathematik und Physik
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Energy and temperature of superfluid turbulent vortex tangles

2007

We consider three aspects of turbulent vortex tangles in superfluids. First, we outline some contributions to the Vinen’s equation for the time evolution of the vortex line density, related to the presence of pinned vortices incorporating the effects of the walls. Afterwards, we analyze some aspects of the energy balance of the vortex tangle, related to frictional dissipation and to vortex formation and destruction. Finally, we explore the concept of an effective temperature for the vortex tangle, related to the average energy of the vortex loops and to the diffusion coefficient of vortex lines. The combination of these ideas suggests some formal similarities with other kinds of driven none…

Quantum fluidPhysicsTurbulenceNon-equilibrium thermodynamicsDissipationCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsVortexSuperfluidityClassical mechanicsCondensed Matter::SuperconductivityVortex stretchingBurgers vortexSettore MAT/07 - Fisica MatematicaQuantum turbulence. Superfluid helium. Vinen equation.Physical Review B
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Stationary heat flux profile in turbulent helium II in a semi-infinite cylindrical channel

2012

In this paper we determine a set of solutions for a system of partial dif- ferential equations describing stationary heat flux in a semi-infinite cylindrical channel filled with turbulent superfluid helium. This study uses a continuous model for liquid helium II, derived from Extended Thermodynamics, in which the heat flux q is a fundamental variable. The influence of the vortex line den- sity on the radial distribution of the heat flux is especially discussed.

Turbulent superfluid helium heat transfer partial dif- ferential equations Bessel functionsSettore MAT/07 - Fisica Matematica
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Propagation of plane and cylindrical waves in turbulent superfluid helium

2014

In this paper, the equations that govern the propagation of plane and cylindrical waves in turbulent superfluid solutions in some simplified cases are determined.

Wave propagation Partial differential equations Turbulent superfluid helium.
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