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A criterion for experimental validation of slip-flow models for incompressible rarefied gases through microchannels

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Abstract

This paper is devoted to analysing the friction factor for incompressible rarefied gas flow through microchannels. A theoretical investigation is conducted in order to underline the conditions for experimentally evidencing rarefaction effects on the pressure drop. It is demonstrated that for a fixed geometry of the microchannel cross-section, it is possible to calculate the minimum value of the Knudsen number for which the rarefaction effects can be observed experimentally, taking into account the uncertainties related to evaluation of the friction factor.

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References

  • Araki T, Kim MS, Iwai H, Suzuki K (2000) An experimental investigation of gaseous flow characteristics in microchannels. Proceedings of the international conference on heat transfer and transport phenomena in microscale, Banff, pp 55–161

  • Aubert C, Colin S (2001) High-order boundary conditions for gaseous flows in rectangular microducts. Microscale Therm Eng 5:41–54

    Article  CAS  Google Scholar 

  • Beskok A, Karniadakis GE (1999) A model for flows in channels, pipes and ducts at micro and nano scales. Microscale Therm Eng 3:43–77

    Article  CAS  Google Scholar 

  • Beskok A, Karniadakis GE, Trimmer W (1996) Rarefaction and compressibility effects in gas microflows. T ASME J Fluid Eng 118:448–456

    CAS  Google Scholar 

  • Celata GP, Cumo M, Guglielmini M, Zummo G (2002) Experimental investigation of hydraulic and single-phase heat transfer in 0.130 μm capillary tube. Microscale Therm Eng 6:85–97

    Article  CAS  Google Scholar 

  • Ebert WA, Sparrow EM (1965) Slip flow in rectangular and annular ducts. T ASME D J Basic Eng 87:1018–1024

    CAS  Google Scholar 

  • Guo ZY, Wu XB (1997) Compressibility effect on the gas flow and heat transfer in a micro tube. Int J Heat Mass Transf 40:3251–3254

    Article  CAS  Google Scholar 

  • Harley JC, Huang Y, Bau HH, Zemel JN (1995) Gas flow in micro-channels. J Fluid Mech 284:257–274

    CAS  Google Scholar 

  • Kandlikar SG, Grande WJ (2003) Evolution of microchannel flow passages—thermohydraulics performance and fabrication technology. Heat Transf Eng 25:3–17

    Article  Google Scholar 

  • Li ZX, Du DX, Guo ZY (2000) Characteristics of frictional resistance for gas flow in microtubes. Proceedings of the symposium on energy engineering in the 21st century 2, pp 658–664

  • Mala GM, Li D (1999) Flow characteristics of water in microtubes. Int J Heat Fluid Flow 20:142–148

    Article  CAS  Google Scholar 

  • Moffat RJ (1988) Describing the uncertainties in experimental results. Exp Therm Fluid Sci 1:3–17

    Article  Google Scholar 

  • Morini GL (2004) Single-phase convective heat transfer in microchannels: a review of experimental results. Int J Therm Sci 43:631–651

    Article  Google Scholar 

  • Morini GL, Spiga M (1998) Slip flow in rectangular microtubes. Microscale Therm Eng 2:273–282

    Article  CAS  Google Scholar 

  • Morini GL, Spiga M, Tartarini P (2003) Rarefaction effects in microchannels and friction factor reduction. Proceedings of microscale heat transfer 2 (75th eurotherm seminar), pp 143–145

  • Saxena SC, Joshi RK (1981) Thermal accommodation and adsorption coefficients of gases. In: Touloukian YS, Ho CY (eds) McGraw-Hill/CINDAS data series on material properties, vols 1–2. McGraw-Hill, New York

  • Shah RK, London AL (1978) Laminar flow forced convection in ducts. Adv Heat Transf 14:1–477

    Google Scholar 

  • Sharipov F (2003) Application of the Cercignani-Lampis scattering kernel to calculation of rarefied gas flows. II. Slip and jump coefficients. Eur J Mech B-Fluid 22:133–143

    Google Scholar 

  • Sreekant AK (1968) Slip flow through long circular tubes. In: Trilling L, Wachman HY (eds) Rarefied gas dynamics. Academic, New York

    Google Scholar 

  • Wu P, Little WA (1983) Measurement of friction factors for the flow of gases in very fine channels used for microminiature Joule–Thompson refrigerators. Cryogenics 23:273–277

    Article  CAS  Google Scholar 

  • Yu S, Ameel TA (2001) Slip-flow heat transfer in rectangular microchannels. Int J Heat Mass Transf 44:4225–4234

    Article  Google Scholar 

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Acknowledgements

This work has been funded through grant I/R/266/02 by ASI (Italian Space Agency) and COFIN 03 by MIUR-URST.

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Correspondence to Gian Luca Morini.

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Morini, G.L., Lorenzini, M. & Spiga, M. A criterion for experimental validation of slip-flow models for incompressible rarefied gases through microchannels. Microfluid Nanofluid 1, 190–196 (2005). https://doi.org/10.1007/s10404-004-0028-1

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  • DOI: https://doi.org/10.1007/s10404-004-0028-1

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