One-dimensional analysis

Thomas J. Hanratty

doi:10.1017/CBO9781139649421.003

1 - One-dimensional analysis

Published online by Cambridge University Press: 05 November 2013

Thomas J. Hanratty

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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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Type: Chapter
Information: Physics of Gas-Liquid Flows , pp. 1 - 26

DOI: https://doi.org/10.1017/CBO9781139649421.003 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2013

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References

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