NDLI: Friction Factor Correlations of Slip Flow in Micro-Tubes

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Hong, Chungpyo Asako, Yutaka Faghri, Mohammad
Copyright Year	2007
Abstract	Poiseuille number, the product of friction factor and Reynolds number (f·Re) for quasi-fully developed flow in a micro-tube was obtained in slip flow regime. The numerical methodology is based on the Arbitrary-Lagrangian-Eulerian (ALE) method. Two-dimensional compressible momentum and energy equations were solved for a wide range of Reynolds and Mach numbers with two thermal boundary conditions: CWT (constant wall temperature) and CHF (constant heat flux), respectively. The tube diameter ranges from 3 to 10μm and the tube aspect ratio is 200. The stagnation pressure, pstg is chosen in such away that the exit Mach number ranges from 0.1 to 1.0. The outlet pressure is fixed at the atmospheric pressure. In slip flow, Mach and Knudsen numbers are systematically varied to determine their effects on f·Re. The correlation for f·Re is obtained from numerical results. It was found that f·Re is mainly a function of Mach number and Knudsen number and is different from the values obtained by 64/(1+8Kn) for slow flow. The obtained f·Re correlations are applicable to both no-slip and slip flow regimes.
Sponsorship	Nanotechnology Institute
Starting Page	365
Ending Page	372
Page Count	8
File Format	PDF
ISBN	079184272X
DOI	10.1115/ICNMM2007-30064
e-ISBN	0791838005
Volume Number	ASME 5th International Conference on Nanochannels, Microchannels, and Minichannels
Conference Proceedings	ASME 2007 5th International Conference on Nanochannels, Microchannels, and Minichannels
Language	English
Publisher Date	2007-06-18
Publisher Place	Puebla, Mexico
Access Restriction	Subscribed
Subject Keyword	Slip flow Heart failure Atmospheric pressure Reynolds number Momentum Critical heat flux Flow (dynamics) Pressure Heat flux Wall temperature Knudsen number Friction Poiseuille flow Boundary-value problems Mach number
Content Type	Text
Resource Type	Article

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