In this paper, nitrogen gas flow in long microchannels with square cross section is simulated numerically with a three-dimensional continuum model. The governing equations of the model are solved by a control volume method. Numerical results are verified with analytical solutions for the range of hydraulic diameters investigated at constant L/Dh ratio of 1000 and pressure ratio of 1.0001. As the pressure ratio is small and therefore the compressibility effect is negligible in this study. A parametric study is conducted at the same L/Dh and pressure ratio. By reducing the hydraulic diameter down from 10000 μm to 0.01 μm, the gas flow inside the microchannels switches from continuum to free molecular flows. The no-slip flow simulation results provide a constant fRe = 54.8, which is very close to the analytical result of fRe = 57. Slip flow condition reduces the friction factor and starts to drop fRe at Dh = 60 μm in the continuum regime.
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ASME 3rd International Conference on Microchannels and Minichannels
June 13–15, 2005
Toronto, Ontario, Canada
Conference Sponsors:
- Nanotechnology Institute
ISBN:
0-7918-4185-5
PROCEEDINGS PAPER
Numerical Modeling of Gas Flow in Square Microchannels Available to Purchase
H. L. Mo,
H. L. Mo
Florida International University, Miami, FL
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C. M. Ye,
C. M. Ye
Florida International University, Miami, FL
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V. V. Gadepalli,
V. V. Gadepalli
Florida International University, Miami, FL
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C. X. Lin
C. X. Lin
Florida International University, Miami, FL
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H. L. Mo
Florida International University, Miami, FL
C. M. Ye
Florida International University, Miami, FL
V. V. Gadepalli
Florida International University, Miami, FL
C. X. Lin
Florida International University, Miami, FL
Paper No:
ICMM2005-75047, pp. 405-409; 5 pages
Published Online:
November 11, 2008
Citation
Mo, HL, Ye, CM, Gadepalli, VV, & Lin, CX. "Numerical Modeling of Gas Flow in Square Microchannels." Proceedings of the ASME 3rd International Conference on Microchannels and Minichannels. ASME 3rd International Conference on Microchannels and Minichannels, Parts A and B. Toronto, Ontario, Canada. June 13–15, 2005. pp. 405-409. ASME. https://doi.org/10.1115/ICMM2005-75047
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