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Research Papers: Micro/Nanoscale Heat Transfer

Theoretical and DSMC Studies on Heat Conduction of Gas Confined in a Cuboid Nanopore

[+] Author and Article Information
Chuan-Yong Zhu

Key Laboratory of Thermo-Fluid and
Science and Engineering,
Ministry of Education,
School of Energy and Power Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: cyzhu8829@163.com

Zeng-Yao Li

Key Laboratory of Thermo-Fluid and
Science and Engineering,
Ministry of Education,
School of Energy and Power Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: lizengy@mail.xjtu.edu.cn

Wen-Quan Tao

Key Laboratory of Thermo-Fluid and
Science and Engineering,
Ministry of Education,
School of Energy and Power Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: wqtao@mail.xjtu.edu.cn

1Corresponding author.

Presented at the 2016 ASME 5th Micro/Nanoscale Heat & Mass Transfer International Conference. Paper No. MNHMT2016-6535. Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 30, 2016; final manuscript received January 16, 2017; published online February 23, 2017. Assoc. Editor: Robert D. Tzou.

J. Heat Transfer 139(5), 052405 (Feb 23, 2017) (7 pages) Paper No: HT-16-1325; doi: 10.1115/1.4035854 History: Received May 30, 2016; Revised January 16, 2017

This paper presents a theoretical and numerical study on the heat conduction of gas confined in a cuboid nanopore, in which there exists a temperature difference between the top and bottom walls and the side walls are adiabatic. A modified gas mean free path in confined space is proposed by considering the impact of collisions between molecules and solid surfaces, with which an effective thermal conductivity model of gas in the transition regime is derived. A direct simulation Monte Carlo (DSMC) study on the heat conduction of argon and helium in a cuboid nanopore is carried out to validate the present model. The influences of the Knudsen number and the treatments of boundary conditions on the heat conduction and effective thermal conductivity of gas in nanopores are studied. The temperature jumps and the reduction of heat flux near side walls are analyzed.

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References

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Figures

Grahic Jump Location
Fig. 1

The nondimensional gas mean free path along with Kn

Grahic Jump Location
Fig. 2

The physical model for calculation

Grahic Jump Location
Fig. 3

Comparison of present DSMC results with those by Denpoh [9]

Grahic Jump Location
Fig. 4

Temperature distributions of helium gas confined in cubic pores obtained from DSMC

Grahic Jump Location
Fig. 5

Nondimensional effective thermal conductivities of argon gas confined in cubic pores as a function of Kn: (a) λg/λ versus Kn and (b) λm/λ versus Kn

Grahic Jump Location
Fig. 6

Nondimensional effective thermal conductivities of helium gas confined in cubic pores as a function of Kn

Grahic Jump Location
Fig. 7

Nondimensional effective thermal conductivities of argon gas confined in cuboid pores as a function of S/V

Grahic Jump Location
Fig. 8

Nondimensional effective thermal conductivity of argon confined in cubic pores as a function of Kn

Grahic Jump Location
Fig. 9

The spanwise nondimensional heat flux distributions of argon gas confined in cubic pores: (a) αs = 1.0 and (b) Kn = 1.0

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