Heat transfer through rarefied gas confined between two concentric spheres

Ho, Minh Tuan; Graur, Irina

doi:10.1016/j.ijheatmasstransfer.2015.04.065

Cited by 21 publications

(20 citation statements)

References 34 publications

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“…(2), is independent of the geometrical configuration of the system, see Refs. [8,3,9]. The accommodation coefficient α can be obtained by fitting heat fluxes measured as a function of pressure by Eq.…”

Section: Analysis Of Experimental Heat Flux Datamentioning

confidence: 99%

“…The detailed description of the developed approaches can be found in Ref. [9]. We provide here only one part of the results indispensable for the accommodation coefficient extraction procedure.…”

Section: Analytical Solution and Numerical Simulationmentioning

confidence: 99%

“…Therefore, in this regime the S-model kinetic equation [10] was solved numerically for various range of the rarefaction parameter, shell's temperature and radius ratios. The details can be found in [9].…”

Section: Transitional Regimementioning

confidence: 99%

“…Recently, the heat transfer between the two concentric spheres system is also simulated [9] on the basis of the nonlinear S-model kinetic equation [10]. In the free-molecular, slip and continuum flow regimes, the analytical expressions are provided for arbitrary temperature and spheres' radius ratios.…”

Section: Introductionmentioning

confidence: 99%

“…The analytical heat flux expressions in the free-molecular and continuum flow regimes and the numerical data in the transitional flow regime, obtained in Ref. [9], are used to derive this revised heat flux expression. Then, based on the measurements of the heat flux and the pressure between two spherical shells, provided in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Conductive heat transfer in a gas confined between two concentric spheres: From free-molecular to continuum flow regime

Yamaguchi

Matsuda

et al. 2017

International Journal of Heat and Mass Transfer

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This version is available at https://strathprints.strath.ac.uk/60000/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output.Conductive heat transfer in a gas confined between two concentric spheres: From free-molecular to continuum flow regime AbstractThe conductive heat transfer through a gas confined between two concentric spherical shells maintained at different temperatures is investigated from the free-molecular to the continuum flow regime. The heat flux, measured using a recently proposed experimental system to extract the thermal accommodation coefficient, is compared with analytical expressions and numerical results. From this comparison it is found that in the free-molecular flow limit, the experimental data are well explained by the analytical expression for the arbitrary radius and temperature ratios of the spherical surfaces. In the continuum limit, the temperature dependence of the thermal conductivity coefficient should be considered in the analytical expression. In the transitional flow regime, a revised function for the heat flux interpolation is proposed to give better fitting to the numerical results. By employing these knowledge, the thermal accommodation coefficient extraction procedure for the system is revised, and it is shown that the re-calculated accommodation coefficient allows to reproduce well the measured heat flux.

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Section: Analysis Of Experimental Heat Flux Datamentioning

confidence: 99%

Section: Analytical Solution and Numerical Simulationmentioning

confidence: 99%

Section: Transitional Regimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Conductive heat transfer in a gas confined between two concentric spheres: From free-molecular to continuum flow regime

Yamaguchi

Matsuda

et al. 2017

International Journal of Heat and Mass Transfer

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Quadrature-Based Lattice Boltzmann Models for Rarefied Gas Flow

Ambruş

Sofonea

2019

Soft and Biological Matter

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At non-negligible values of the Knudsen number Kn (defined as the ratio between the mean free path of the fluid particles in a gas and the characteristic length of the domain), the Navier-Stokes equations lose applicability [1, 2]. Such rarefied gas flows can be approached within the framework of the Boltzmann equation [3-5]. This equation describes the six-dimensional phase-space evolution of the distribution function f , where f (t, x, p)d 3 xd 3 p gives the number of particles at time t which are contained in an infinitesimal volume d 3 x centred on x, having momenta in an infinitesimal range d 3 p about p. Because of its complexity, the Boltzmann equation can be solved analytically only in a very limited number of cases. Alternatively, numerous well-established approaches to the numerical solutions of the Boltzmann equation are now currently used for academic or engineering purposes, of which we only mention the direct simulation Monte Carlo (DSMC) technique [6], the discrete velocity models (DVMs) [7-9], the discrete unified gas-kinetic scheme (DUGKS) [10-12] and the lattice Boltzmann (LB) models [13-20]. The LB models are a particular type of DVMs and are derived from the Boltzmann equation using a simplified version of the collision operator, as well as an appropriate discretisation of the momentum space, which ensure the recovery of the moments of the distribution function f up to a certain order N. Originally derived nearly 30 years ago from the lattice gas automata [17, 19, 20], the LB

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New insight into investigation of thermal transfer of molten steel inside a ladle with vacuum shell

Zhou

Xie

Bao

et al. 2016

J Therm Anal Calorim

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In order to reduce the amount of thermal loss of steel inside a ladle during the industrial production, one new type ladle constructed using radiation-proof steel plates welded on the exterior walls of conventional ladle and its lid was investigated. Thermal insulation principle of vacuum is applied to study the mechanism of thermal transfer, and a novel approach is proposed for calculation of comprehensive thermal conductivity inside the vacuum chamber. The main idea of this paper was to explore the effects of pressures inside vacuum chamber on the temperature of molten steel. The conclusions were made. When the absolute pressure inside the chamber of the ladle is set to 50 Pa, as with its lid, the temperature drop of molten steel is a mere 9 K; while the chamber of the ladle is set to 10 5 Pa, as with its lid, the temperature drop is 37 K and heat flux occupies the minimum proportion value, 15.38 %. Thermal conduction ability of air molecule is almost not affected by pressure. The additional conversion convection factor value at 10 4 Pa is 200 times larger than that at 50 Pa. The ability of comprehensive thermal conduction is poor due to low pressures and small amount of air molecules. Thermal conductivity of refractory layer is 11 times larger than that of vacuum layer at 50 Pa. Thus, vacuum layer has strong thermal insulation at lower vacuum pressures.

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Heat transfer through rarefied gas confined between two concentric spheres

Cited by 21 publications

References 34 publications

Conductive heat transfer in a gas confined between two concentric spheres: From free-molecular to continuum flow regime

Conductive heat transfer in a gas confined between two concentric spheres: From free-molecular to continuum flow regime

Quadrature-Based Lattice Boltzmann Models for Rarefied Gas Flow

New insight into investigation of thermal transfer of molten steel inside a ladle with vacuum shell

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