Refrigeration of an array of cylindrical nanosystems by superfluid helium counterflow

Sciacca, Michele; Sellitto, A.; Galantucci, Luca; Jou, David

doi:10.1016/j.ijheatmasstransfer.2016.08.019

Cited by 5 publications

(23 citation statements)

References 35 publications

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“…Indeed, heat transport in He II is not described by Fourier's law, but by a more complex equation, including non-local terms, strongly depending on the geometry and the size of the particular system being considered. Heat transport can be investigated in laminar regime, in fully turbulent regime, in the ballistic regime, or in the transition from laminar to turbulent regimes [10,[18][19][20][21]. In the laminar regime, one has for the average heat flux…”

Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

“…In [10] we considered a laminar regime in a geometry where terms (v · ∇)v and (v · ∇)q are identically zero, as it occurs in the problem investigated in the present work. Hence, Eqs.…”

Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

“…(7) and (8) and imposing the counterflow conditionv = 0 (namely the average velocity across any transversal section of the channel is zero), in [10] we obtained the following expressions for the effective thermal conductivity K eff of a helium counterflow in a rectangular cross-sectional channel…”

Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

“…[10] by adding the contribution of two pressure gradients (arising from the presence of both channel walls and the array of cylinders), yielding the corresponding hydrodynamical resistance of He II, carrying the heat. Once we have the expression of the effective thermal resistance, we may solve in principle our problem.…”

Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

“…In a previous paper [10] we considered, as a simplified model, the refrigeration of a regular array of cylindrical heat-dissipating nanodevices immersed in superfluid helium between two parallel plates. The main difficulty of the problem was finding the effective heat conductivity for helium counterflows [11][12][13][14] (heat transport without net mass transport), in the laminar regime (namely without any kind of turbulence), which strongly depends on the geometry of the problem, in contrast with usual Fourier's law, where thermal conductivity is a material coefficient independent of the geometry.…”

Section: Introductionmentioning

confidence: 99%

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Refrigeration of an Array of Cylindrical Nanosystems by Flowing Superfluid Helium

2016

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We consider the refrigeration of an array of heat-dissipating cylindrical nanosystems as a simplified model of computer refrigeration. We explore the use of He II as cooling fluid, taking into account forced convection and heat conduction. The main conceptual and practical difficulties arise in the calculation of the effective thermal conductivity. Since He II does not follow Fourier's law, the effective geometry-dependent conductivity must be extracted from a more general equation for heat transfer. Furthermore, we impose the restrictions that the maximum temperature along the array should be less than T λ transition temperature and that quantum turbulence is avoided, in order not to have too high heat resistance.

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Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

Section: Basic Equations For Heat Transfer In Superfluid Heliummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Refrigeration of an Array of Cylindrical Nanosystems by Flowing Superfluid Helium

2016

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

Sciacca

Sellitto

Galantucci

et al. 2019

Z. Angew. Math. Phys.

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We analyze the stability of the temperature profile of an array of computing nanodevices refrigerated by flowing superfluid helium, under variations of temperature, computing rate, and barycentric velocity of helium. It turns out that if the variation of 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 of the local computation rate is found.

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Stereoscopic detection of hot spots in superfluid 4He (He II) for accelerator-cavity diagnosis

Bao

Kanai

Zhang

et al. 2020

International Journal of Heat and Mass Transfer

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Refrigeration of an array of cylindrical nanosystems by superfluid helium counterflow

Cited by 5 publications

References 35 publications

Refrigeration of an Array of Cylindrical Nanosystems by Flowing Superfluid Helium

Refrigeration of an Array of Cylindrical Nanosystems by Flowing Superfluid Helium

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

Stereoscopic detection of hot spots in superfluid 4He (He II) for accelerator-cavity diagnosis

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