Laminar/turbulent flows of compressible fluid in microtubes were simulated numerically to obtain the effect of compressibility on the local pipe friction factors. For gaseous flows, the effect of compressibility had not been clarified except for laminar flow whose Mach number is less than 0.45, so the present work extended this to handle higher speed flows including choked ones and turbulent flows. The numerical procedure based on arbitrary-Lagrangian-Eulerian method solves two-dimensional compressible momentum and energy equations. The Lam-Bremhorst Low-Reynolds number turbulence model was adopted to calculate eddy viscosity coefficient and turbulence energy. The physical domain of simulation with the back region downstream from the outlet of the micro-tube was used to be able to calculate the case of under-expansion flow in the tube. The orthogonal curvilinear grid was used for the computational mesh to obtain accurate results. The computations were performed for a wide range of Reynolds number and Mach number including laminar/turbulent choked flows. It was found that in laminar regimes the ratio of the Darcy friction factor to its conventional (incompressible flow’s) value is a function of Mach number and the same goes for the Fanning friction factor. On the other hand, in turbulent regimes, the ratio is still a function of Mach number for the Darcy friction factor but is equal to about unity for the Fanning friction factor. Namely, the Fanning friction factor of gaseous flow in micro-tubes coincides with Blasius formula, even when Mach number is not small and compressibility effect appears. This fact can be seen in choked flow.
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ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels
June 19–22, 2011
Edmonton, Alberta, Canada
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4463-2
PROCEEDINGS PAPER
Local Friction Factor of Compressible Laminar or Turbulent Flow in Micro-Tubes Available to Purchase
Shintaro Murakami,
Shintaro Murakami
Tokyo Metropolitan University, Hachioji, Tokyo, Japan
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Yutaka Asako
Yutaka Asako
Tokyo Metropolitan University, Hachioji, Tokyo, Japan
Search for other works by this author on:
Shintaro Murakami
Tokyo Metropolitan University, Hachioji, Tokyo, Japan
Yutaka Asako
Tokyo Metropolitan University, Hachioji, Tokyo, Japan
Paper No:
ICNMM2011-58036, pp. 295-303; 9 pages
Published Online:
May 11, 2012
Citation
Murakami, S, & Asako, Y. "Local Friction Factor of Compressible Laminar or Turbulent Flow in Micro-Tubes." Proceedings of the ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels, Volume 1. Edmonton, Alberta, Canada. June 19–22, 2011. pp. 295-303. ASME. https://doi.org/10.1115/ICNMM2011-58036
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