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1 - One-dimensional analysis

Published online by Cambridge University Press:  05 November 2013

Thomas J. Hanratty
Thomas J. Hanratty
Affiliation:
University of Illinois, Urbana-Champaign
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Summary

Introduction

The “simplest” models for gas–liquid flow systems are ones for which the velocity is uniform over a cross-section and unidirectional. This includes flows in a long straight pipe and steady flows in a nozzle.

A treatment of pipe flow with a constant cross-section is initiated by reviewing analyses of incompressible and compressible single-phase flows. A simple way to use these results is to describe gas–liquid flows with a homogeneous model that assumes the phases are uniformly distributed, that there is no slip between the phases and that the phases are in thermodynamic equilibrium. The volume fraction of the gas, α, is then directly related to the relative mass flows of the phases. However, the assumption of no slip, S = 1, can introduce considerable error. This has prompted a consideration of a separated flow model, where uniform flows of gas and liquid are pictured as moving parallel to one another with different velocities and to be in thermodynamic equilibrium.

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Physics of Gas-Liquid Flows , pp. 1 - 26
Publisher: Cambridge University Press
Print publication year: 2013

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References

Boure, J. A. 1978 Constitutive equations for two-phase flows. In Two-phase Flows and Heat Transfer with Applications to Nuclear Reactor Design Problems, ed. Ginoux, J. J., Washington, DC: Hemisphere, pp. 169–175.Google Scholar
Chisholm, D. 1967 A theoretical basis for the Lockhart–Martinelli correlation for two-phase flow. Nat. Eng. Lab., UK, Report no. 310 (also Int. J. Heat Mass Transfer 10, 1767–1778).Google Scholar
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  • One-dimensional analysis
  • Thomas J. Hanratty, University of Illinois, Urbana-Champaign
  • Book: Physics of Gas-Liquid Flows
  • Online publication: 05 November 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139649421.003
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  • One-dimensional analysis
  • Thomas J. Hanratty, University of Illinois, Urbana-Champaign
  • Book: Physics of Gas-Liquid Flows
  • Online publication: 05 November 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139649421.003
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • One-dimensional analysis
  • Thomas J. Hanratty, University of Illinois, Urbana-Champaign
  • Book: Physics of Gas-Liquid Flows
  • Online publication: 05 November 2013
  • Chapter DOI: https://doi.org/10.1017/CBO9781139649421.003
Available formats
×