In this paper, first, the Navier–Stokes equations for incompressible fully developed flow in microchannels and microtubes with the first-order and second-order slip boundary conditions are analytically solved. Then, the compressible Navier–Stokes equations are numerically solved with slip boundary conditions. The numerical methodology is based on the control volume scheme. Numerical results reveal that the compressibility effect increases the velocity gradient near the wall and the friction factor. On the other hand, the increment of velocity gradient near the wall leads to a much larger slip velocity than that for incompressible flow with the same value of Knudsen number and results in a corresponding decrement of friction factor. General correlations for the Poiseuille number , the Knudsen number (Kn), and the Mach number (Ma) containing the first-order and second-order slip coefficients are proposed. Correlations are validated with available experimental and numerical results.
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e-mail: wangqw@mail.xjtu.edu.cn
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October 2009
Research Papers
Numerical Investigation of Combined Effects of Rarefaction and Compressibility for Gas Flow in Microchannels and Microtubes
Xiaohong Yan,
Xiaohong Yan
State Key Laboratory of Multiphase Flow in Power Engineering,
Xi’an Jiaotong University
, Xi’an, Shaanxi 710049, China
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Qiuwang Wang
Qiuwang Wang
State Key Laboratory of Multiphase Flow in Power Engineering,
e-mail: wangqw@mail.xjtu.edu.cn
Xi’an Jiaotong University
, Xi’an, Shaanxi 710049, China
Search for other works by this author on:
Xiaohong Yan
State Key Laboratory of Multiphase Flow in Power Engineering,
Xi’an Jiaotong University
, Xi’an, Shaanxi 710049, China
Qiuwang Wang
State Key Laboratory of Multiphase Flow in Power Engineering,
Xi’an Jiaotong University
, Xi’an, Shaanxi 710049, Chinae-mail: wangqw@mail.xjtu.edu.cn
J. Fluids Eng. Oct 2009, 131(10): 101201 (7 pages)
Published Online: September 17, 2009
Article history
Received:
November 14, 2008
Revised:
July 2, 2009
Published:
September 17, 2009
Citation
Yan, X., and Wang, Q. (September 17, 2009). "Numerical Investigation of Combined Effects of Rarefaction and Compressibility for Gas Flow in Microchannels and Microtubes." ASME. J. Fluids Eng. October 2009; 131(10): 101201. https://doi.org/10.1115/1.3215941
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