Measurement of quasi-local friction factor of gas flow in a micro-tube

Abstract

This paper presents experimental results on the friction factor of gaseous flow in a PEEK micro-tube with arithmetic mean roughness of 0.2 µm (relative surface roughness of 0.04%). The experiments were performed for nitrogen gas flow through the micro-tube with 514.4 µm in diameter and 50 mm in length. Three pressure tap holes were drilled on the PEEK micro-tube wall at intervals of 5 mm and the local pressures were measured. The quasi-local friction factor is obtained from the measured pressure differences. The experiments were conducted in the turbulent flow region. The quasi-local friction factor obtained from the present study is compared with those in the available literature and also numerical results. The quasi-local friction factor obtained is 12–20% higher than the value predicted from the Blasius formula.

Keywords

Micro-tube gaseous flow quasi-local friction factor

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References

Tuckerman

Pease

RFW

. High-performance heat sinking for VLSI. IEEE Electron Device Lett 1981; EDL-2: 126–129.

Little

. Measurement of friction factors for the flow of gases in very fine channels used for microminiature Joule-Thompson refrigerators. Cryogenics 1983; 23: 273–277.

Yang

Chen

Lin

. Heat transfer and friction characteristics of air flow in microtubes. Exp Thermal Fluid Sci 2012; 37: 12–18.

Morini GL. The rule of single-phase forced convection in microchannels. In: Tenth international conference on nanochannels, microchannels, and minichannels, ICNMM2012-73253, 2012, pp.1--12.

Asako

Turner

. Effect of compressibility on gaseous flows in microchannels. Int J Heat Mass Transfer 2003; 46: 3041–3050.

Asako

Nakayama

Shinozuka

. Effect of compressibility on gaseous flows in a micro-tube. Int J Heat Mass Transfer 2005; 48: 4985–4994.

Murakami S and Asako Y. Local pipe friction factor of compressible laminar or turbulent flow in micro-tubes. In: Ninth international conference on nanochannels, microchannels, and minichannels, ICNMM2011-58036, 2011, pp.1--9.

Morini

Lorenzini

Colin

. Experimental analysis of pressure drop and laminar to turbulent transition for gas flows in smooth microtubes. Heat Transfer Eng 2007; 28: 670–679.

Celata

Lorenzini

Morini

. Friction factor in micropipe gas flow under laminar, transition and turbulent flow regime. Int J Heat Fluid Flow 2009; 30: 814–822.

10.

Yang

Chen

Lin

. Heat transfer and friction characteristics of air flow in micro tubes. Exp Thermal Fluid Sci 2012; 37: 12–18.

11.

Hong C, Matsushita S, Asako Y, et al. Characteristics of turbulent gas flow in microtubes. In: International Mechanical Engineering Congress & Exposition, IMECE2012-89272, 2012, pp.1--6.

12.

Hong

Yamada

Asako

. Experimental investigation of laminar, transitional and turbulent gas flow in microchannels. Int J Heat Mass Transfer 2012; 55: 4397–4403.

13.

Matsushita S, Hong C, Asako Y, et al. Experimental investigations of turbulent gas flow in micro-channel. In: International Mechanical Engineering Congress & Exposition, IMECE2011-63295, 2011, pp.1--5.

14.

Eirich

. Rheology 1960; vol. 3, New York: Academic Press, pp. 17–80.

15.

Kawashima

Asako

. Data reduction of friction factor of compressible flow in micro-channels. Int J Heat Mass Transfer 2014; 77: 257–261.

16.

Karki KC. A calculation procedure for viscous flows at all speeds in complex geometries. PhD Thesis, University of Minnesota, 1986.

17.

Yoshimaru

Asako

Yamada

. Under-expanded gaseous flow at a straight micro-tube exit. J Fluid Eng 2014; 136: 081204–1–081204-7.

18.

White

. Fluid mechanics, New York: McGraw-Hill, 1979, pp. 332–332.