Skip to main content

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSAPPLSCIENCES))

  • 544 Accesses

Abstract

This chapter first presents parametric analysis of the void fraction and then provides a brief review of some of the modeling techniques for determination of the void fraction and recommendation of well-scrutinized void fraction correlations, followed by an illustrative example.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Abdulkadir M, Hernandez-Perez V, Sharaf S, Lowndes IS, Azzopardi BJ (2010) Experimental investigation of phase distributions of two-phase air–silicone oil flow in a vertical pipe. World Acad Sci Eng Technol 37:52–59

    Google Scholar 

  • Bendiksen KH (1984) An experimental investigation of the motion of long bubbles in inclined tubes. Int J Multiphase Flow 10:467–483

    Article  Google Scholar 

  • Bhagwat SM, Ghajar AJ (2014) A flow pattern independent drift flux model based void fraction correlation for a wide range of gas-liquid two-phase flow. Int J Multiphase Flow 59:186–205

    Article  Google Scholar 

  • Bowers CD, Hrnjak PS (2010) Determination of void fraction in separated two-phase flows using optical techniques, International Refrigeration and Air-Conditioning Conference, Purdue University, pp 2293–2302

    Google Scholar 

  • Chen XT, Cai XD, Brill JP (1997) Gas liquid stratified wavy flow in horizontal pipelines. J Energy Resour Technol 119:209–216

    Article  Google Scholar 

  • Colebrook CF (1939) Turbulent flow in pipes, with particular reference to the transition between the smooth and rough pipe laws. J Inst Civil Eng 11:1938–1939

    Article  Google Scholar 

  • Das G, Das PK, Purohit NK, Mitra AK (2002) Liquid holdup in concentric annuli during cocurrent gas–liquid upflow. Can J Chem Eng 80:153–157

    Article  Google Scholar 

  • Dix GE (1971) Vapor void fractions for forced convection with subcooled boiling at low flow rates, Report NEDO-10491, General Electric Co

    Google Scholar 

  • Ghajar AJ, Bhagwat SM (2014b) Flow patterns, void fraction and pressure drop in gas-liquid two-phase flow at different pipe orientations. In: Frontiers and progress in multiphase flow. Springer Int. Publishing, Cham, Chapter 4, pp 157–212

    Chapter  Google Scholar 

  • Ghajar AJ, Bhagwat SM (2017) Gas-liquid flow in ducts. In: Michaelides EE, Crowe CT, Schwarzkopf JD (eds) Handbook of multiphase flow, 2nd edn. CRC Press/Taylor & Francis, Boca Rotan, pp 287–356, Chapter 3

    Google Scholar 

  • Godbole PV, Tang CC, Ghajar AJ (2011) Comparison of void fraction correlations for different flow patterns in upward vertical two-phase flow. Heat Transfer Eng 32(10):843–860

    Article  Google Scholar 

  • Gokcal B (2008) An experimental and theoretical investigation of slug flow for high oil viscosity in horizontal pipes, Ph.D. Thesis. University of Tulsa

    Google Scholar 

  • Gokcal B, Al-Sarkhi A, Sarica C (2009) Effects of high oil viscosity on drift velocity for horizontal and upward inclined pipes. SPE Proj Fac & Const 4:32–40

    Google Scholar 

  • Gomez L, Shoham O, Schmidt Z, Choshki R, Northug T (2000) Unified mechanistic model for steady state two-phase flow: horizontal to upward vertical flow. SPE 5:339–350

    Article  Google Scholar 

  • Hamersma PJ, Hart J (1987) A pressure drop correlation for gas-liquid pipe flow with a small liquid holdup. Chem Eng Sci 42:1187–1196

    Article  Google Scholar 

  • Hart J, Hamersma PJ, Fortuin JMH (1989) Correlations predicting frictional pressure drop and liquid holdup during horizontal gas-liquid pipe flow with a small liquid holdup. Int J Multiphase Flow 15:947–964

    Article  Google Scholar 

  • Hashemi A, Kim JH, Sursock JP (1986) Effect of diameter and geometry on two-phase flow regimes and carryover in model PWR hot leg, Eighth international heat transfer conference, pp 2443–2451

    Google Scholar 

  • Hibiki T, Ishii M (2003) One-dimensional drift flux model and constitutive equations for relative motion between phases in various two-phase flow regimes. Int J Heat Mass Transf 46:4935–4948

    Article  Google Scholar 

  • Hills JH (1976) The operation of a bubble column at high throughputs part 1: gas holdup measurements. Chem Eng J 12:89–99

    Article  Google Scholar 

  • Inoue Y (2001) Measurement of interfacial area concentration of gas–liquid two-phase flow in a large diameter pipe, M.S. Thesis, Graduate School of Energy Science, Kyoto University

    Google Scholar 

  • Inoue A, Kurosu T, Aoki T, Yagi M, Misutake T, Morooka S (1995) Void fraction distribution in BWR fuel assembly and evaluation of subchannel code. J Nucl Sci Technol 32:629–640

    Article  Google Scholar 

  • Ishii M (1977) One-dimensional drift flux model and constitutive equations for relative motion between phases in various two-phase flow regimes, Argonne National Laboratory, pp 77–47

    Google Scholar 

  • Jeyachandra BC (2011) Effect of pipe inclination on flow characteristics of high viscosity oil gas two-phase flow, Ph.D. Thesis, University of Tulsa

    Google Scholar 

  • Kaji M, Azzopardi BJ (2010) The effect of pipe diameter on the structure of gas-liquid flow in vertical pipes. Int J Multiphase Flow 36:303–313

    Article  Google Scholar 

  • Kataoka I, Ishii M (1987) Drift flux model for large diameter pipe and new correlation for pool void fraction. Int J Heat Mass Transf 30:1927–1939

    Article  Google Scholar 

  • Keinath B (2012) Void fraction, pressure drop and heat transfer in high pressure condensing flows through microchannels, Ph.D. Thesis, Georgia Institute of Technology

    Google Scholar 

  • Liu W, Tamai H, Takase K (2013) Pressure drop and void fraction in steam–water two-phase flow at high pressure. J Heat Transf 135:1–13

    Google Scholar 

  • Marchaterre JF (1956) The effect of pressure on boiling density in multiple rectangular channels, Report ANL-5522, Argonne National Labs

    Google Scholar 

  • Marchaterre JF, Petrick M, Lottes PA, Weatherland RJ, Flinn WS (1960) Natural and forced circulation boiling studies, Report ANL-5735, Argonne National Labs

    Google Scholar 

  • Mukherjee H (1979) An experimental study of inclined two-phase flow, Ph.D. Thesis, University of Tulsa

    Google Scholar 

  • Nicklin DJ, Wilkes JO, Davidson JF (1962) Two-phase flow in vertical tubes. Trans Inst Chem Eng 40:61–68

    Google Scholar 

  • Oshinowo O (1971) Two-phase flow in a vertical tube coil, Ph.D. Thesis, University of Toronto, Canada

    Google Scholar 

  • Rouhani SZ, Axelsson E (1970) Calculation of void volume fraction in the subcooled and quality boiling regions. Int J Heat Mass Transf 13:383–393

    Article  Google Scholar 

  • Sacks PS (1975) Measured characteristics of adiabatic and condensing single component two- phase flow of refrigerant in a 0.377 inch diameter horizontal tube, ASME Winter Annual Meeting, Houston, 75WA/HT-24, pp 1–12

    Google Scholar 

  • Schlegel J, Hibiki T, Ishii M (2010) Development of a comprehensive set of drift flux constitutive models for pipes of various hydraulic diameters. Prog Nucl Energy 52:666–677

    Article  Google Scholar 

  • Shedd TA (2010) Void fraction and pressure drop measurements for refrigerant R410a flows in small diameter tubes, Technical Report AHRTI 20110-01

    Google Scholar 

  • Shoukri M, Hassan I, Gerges I (2003) Two-phase bubbly flow structure in large diameter vertical pipe. Can J Chem Eng 81:205–211

    Article  Google Scholar 

  • Taitel Y, Dukler AE (1976) A model for predicting flow regime transitions in horizontal and near horizontal gas-liquid flow. AICHE J 22:47–55

    Article  Google Scholar 

  • Wallis GB (1969) One-dimensional two-phase flow. McGraw-Hill, New York

    Google Scholar 

  • Woldesemayat MA, Ghajar AJ (2007) Comparison of void fraction correlations for different flow patterns in horizontal and upward inclined pipes. Int J Multiphase Flow 33:347–370

    Article  Google Scholar 

  • Wongwises S, Pipathttakul M (2006) Flow pattern, pressure drop and void fraction of gas–liquid two-phase flow in an inclined narrow annular channel. Exp Thermal Fluid Sci 30:345–354

    Article  Google Scholar 

  • Xiong R, Chung JN (2006) Size effect on adiabatic gas-liquid two-phase flow map and void fraction in micro-channels, Proceedings of Int. Mech. Eng. Congress and Exposition, Chicago

    Google Scholar 

  • Zuber N, Findlay J (1965) Average volume concentration in two-phase systems. ASME J Heat Transf 87:453–468

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2020 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Ghajar, A.J. (2020). Void Fraction. In: Two-Phase Gas-Liquid Flow in Pipes with Different Orientations. SpringerBriefs in Applied Sciences and Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-41626-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-41626-3_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-41625-6

  • Online ISBN: 978-3-030-41626-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics