Abstract
The 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1527-1534 |
| Number of pages | 8 |
| Journal | International Journal of Heat and Mass Transfer |
| Volume | 108 |
| DOIs | |
| Publication status | Published - 2017 Jan 1 |
| Externally published | Yes |
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Keywords
- Concentric spheres
- Heat transfer
- Kinetic model
- Knudsen number
- Thermal accommodation coefficient
- Vacuum
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes
Cite this
Conductive heat transfer in a gas confined between two concentric spheres : From free-molecular to continuum flow regime. / Yamaguchi, H.; Ho, M. T.; Matsuda, yu; Niimi, T.; Graur, I.
In: International Journal of Heat and Mass Transfer, Vol. 108, 01.01.2017, p. 1527-1534.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Conductive heat transfer in a gas confined between two concentric spheres
T2 - From free-molecular to continuum flow regime
AU - Yamaguchi, H.
AU - Ho, M. T.
AU - Matsuda, yu
AU - Niimi, T.
AU - Graur, I.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - The 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.
AB - The 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.
KW - Concentric spheres
KW - Heat transfer
KW - Kinetic model
KW - Knudsen number
KW - Thermal accommodation coefficient
KW - Vacuum
UR - http://www.scopus.com/inward/record.url?scp=85009917877&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85009917877&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2016.12.100
DO - 10.1016/j.ijheatmasstransfer.2016.12.100
M3 - Article
AN - SCOPUS:85009917877
VL - 108
SP - 1527
EP - 1534
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
SN - 0017-9310
ER -