# Fundamental Equations for Two-Phase Flow in Tubes

Reference work entry

## Abstract

Two-phase flow of gas and liquid is often encountered in the design and operation of heat exchangers, oil/gas transport lines, chemical and bioreactors, and mass transfer equipment. The two-phase pressure drop governs the pumping requirement in forced-circulation systems, while the pressure drop dictates the circulation rate and, hence, various system parameters in natural-circulation systems. All three components of pressure drop (gravitational, frictional, and accelerational) are dependent on void fraction or quality, so the design of energy systems and their performance are highly dependent on accurate predictions of both the two-phase pressure drop and void fraction. In this chapter, basic parameters are defined first, followed by descriptions of two-phase flow patterns, flow pattern maps and transition criteria, the conservation equations used in two-phase flow analyses, and the correlations and models available for predicting void fraction and pressure drop in simple flow channel geometries such as circular and noncircular tubes. In particular, advanced two-phase flow models including multidimensional two-fluid models and the constitutive relations for interfacial transfer terms are presented. Examples of two-dimensional and one-dimensional two-fluid models applied to predict radial void fraction distributions in bubbly flow and interfacial wave characteristics in inverted annular flow, respectively, are also described.

## Keywords

Two-phase flow Void fraction Flow pattern Pressure drop Gas-liquid flow Conservation equations Two-fluid model Constitutive relations

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## Authors and Affiliations

1. 1.City College of New YorkNew YorkUSA