Effect of helium convection on cryogenic stability of superconducting magnet

Tatsumi, Yusuke; Nishijima, Shigehiro

doi:10.1109/tasc.2003.812884

Cited by 3 publications

(6 citation statements)

References 3 publications

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“…The analysis procedures simulating the convection by heat generation are described in the previous paper [1]. We analyzed the separation of liquid and gas of two immiscible components system by using Shen-Chen model [3] for multiphase fluid.…”

Section: Calculation Methodsmentioning

confidence: 99%

“…In the model which combines the analysis of the convection and the two-phase fluid of gas and liquid mixing, a total of four kinds of particles of the red and blue particle for the convection model [1], and the particle 1 (gas phase) and 2 (liquid phase) for two-phase fluid model are used. The procedure of calculation is given as followed.…”

Section: Calculation Methodsmentioning

confidence: 99%

“…The calculation system is set to a 2-dimensional hexagonal lattice as similar as the analysis of the liquid-gas mixed flow. The calculation of the effect of the gravity was introduced into blue particles [1] and particles 2 (liquid phase). The initial density of both red and blue particles is set to the unity, and those of particles 1 and 2 are set to 0.2 and 0.8, respectively.…”

Section: Calculation Methodsmentioning

confidence: 99%

“…Therefore, the development of new calculation methods of complex flow is needed. In a previous paper [1], we investigated the cooling capability and the stability of superconducting magnets by analyzing the convection of liquid helium in the superconducting magnet. However, the bubble formations in liquid helium were not considered and only the sub-cooled regime was studied.…”

Section: Introductionmentioning

confidence: 99%

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Lattice Boltzmann Method Analyzing Helium Bubbles Motion in Liquid Helium

Izumi

Iwamoto

Tatsumi

et al. 2004

IEEE Trans. Appl. Supercond.

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To estimate the cooling capability of liquid helium in a superconducting magnet, it is indispensable to analyze the liquid helium flow and the bubble motion. However, it is almost impossible to understand them by means of the experiment or the numerical calculation based on Navier-Stokes equations. Therefore, we have developed the lattice Boltzmann method to analyze the liquid helium flow and/or the bubble motion in superconducting magnets. In the analysis, the temperature distribution in liquid helium together with the convection was calculated. Then helium vapor bubbles were formed on the heat transfer surface where the temperature was higher than the boiling point. The buoyancy of bubble was taken into account and results in the aggregation of the bubbles. The heat flow in liquid helium could also be calculated. The applicability of this method to the stability analysis of superconducting magnet is also discussed.

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Section: Calculation Methodsmentioning

confidence: 99%

Section: Calculation Methodsmentioning

confidence: 99%

Section: Calculation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Lattice Boltzmann Method Analyzing Helium Bubbles Motion in Liquid Helium

Izumi

Iwamoto

Tatsumi

et al. 2004

IEEE Trans. Appl. Supercond.

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“…[53][54][55][56][57][58][59][60][61][62][63] Liquid helium is used as a cryogen in several industries, as purging gas in clean rooms of fine industries, and as a diluter in many gas systems. [64][65][66][67][68][69][70] Therefore, understanding of the thermal, pressure and flow behaviors of liquid helium as well as its ability to solve different materials (especially corrosive gases which can result in damage to the cryogenic and transport gas handling systems) 64,7 is of great industrial importance and thus deserves a full scale study to see if it is possible to derive bulk properties of liquid helium with full quantum computational methods. As the first step towards this aim, in this work, we have studied a series of small 1-D and 2-D lattices (the simplest models of the condensed phase) of 4 He atoms using the RHF/6-31G** method.…”

Section: Introductionmentioning

confidence: 99%

A Theoretical Study of 1‐D and 2‐D Helium Lattices

Sabzyan

Zanjanchi

2007

J Chinese Chemical Soc

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One‐ and two‐dimensional (1‐D and 2‐D) helium lattices have been studied using ab initio RHF/6–31G** computations. Structural, physical and thermochemical properties have been calculated and analyzed for the 1‐D and 2‐D HeN lattices respectively up to N = 50 and N = 36. Asymptotic properties of the 1‐D HeN lattices are obtained by extrapolating N‐dependence properties to large values of N. Analysis of the results show that the bulk per‐atom interaction (binding) energies increase while the optimized interatomic distances (bond lengths) slightly decrease with the increase in size of the 1‐D HeN lattices and both reach their asymptotic values of 0.352 cm−1 and 3.18775 Å, respectively. Between the square and hexagonal (packed) structures of the 2‐D HeN lattices, the latter is more favored. Extrapolated values of the calculated properties, including lattice parameter, binding and zero point energies, heat capacity, and entropy have also been calculated for both 1‐D and 2‐D HeN lattices. The surface densities for monolayer films of helium atoms with square and hexagonal configurations have been calculated to be respectively 9.84 × 1018 and 1.04 × 1019 helium atoms/cm2 which are comparable to the experimental value of 2.4 × 1019 helium atom/m2 well within the typical large and directional error bars of the experiments. Surface effects have been investigated by comparing the packed HeN2‐D lattices with the same value of N but with different geometries (arrangements). This comparison showed that the HeN lattices prefer arrangements with the smallest surface area.

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On the lattice Boltzmann method and its application to turbulent, multiphase flows of various fluids including cryogens: A review

Petersen

Brinkerhoff

2021

Physics of Fluids

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Cryogenic fluids are used in a myriad of different applications not limited to green fuels, medical devices, spacecraft, and cryoelectronics. In this review, we elaborate on these applications and synthesize recent lattice Boltzmann methods (LBMs) including collision operators, boundary conditions, grid-refinement techniques, and multiphase models that have enabled the simulation of turbulence, thermodynamic phase change, and non-isothermal effects in a wide array of fluids, including cryogens. The LBM has reached a mature state over the last three decades and become a strong alternative to the conventional Navier–Stokes equations for simulating complex, rarefied, thermal, multiphase fluid systems. Moreover, the method's scalability boosts the efficiency of large-scale fluid flow computations on parallel clusters, including heterogeneous clusters with graphics card-based accelerators. Despite this maturity, the LBM has only recently experienced limited use in the study of cryogenic fluid systems. Therefore, it is fitting to emphasize the usefulness of the LBM for simulating computationally prohibitive, complex cryogenic flows. We expect that the method will be employed more extensively in the future owing to its simple representation of molecular interaction and consequently thermodynamic changes of state, surface tension effects, non-ideal effects, and boundary treatments, among others.

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Effect of helium convection on cryogenic stability of superconducting magnet

Cited by 3 publications

References 3 publications

Lattice Boltzmann Method Analyzing Helium Bubbles Motion in Liquid Helium

Lattice Boltzmann Method Analyzing Helium Bubbles Motion in Liquid Helium

A Theoretical Study of 1‐D and 2‐D Helium Lattices

On the lattice Boltzmann method and its application to turbulent, multiphase flows of various fluids including cryogens: A review

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