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Research Papers: Multiphase Flows

Asymptotic Generalizations of the Lockhart–Martinelli Method for Two Phase Flows

[+] Author and Article Information
Y. S. Muzychka, M. M. Awad

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NF, A1B 3X5, Canada

J. Fluids Eng 132(3), 031302 (Mar 18, 2010) (12 pages) doi:10.1115/1.4001157 History: Received September 20, 2009; Revised January 05, 2010; Published March 18, 2010; Online March 18, 2010

The Lockhart–Martinelli (1949, “Proposed Correlation of Data for Isothermal Two Phase Flow, Two Component Flow in Pipes,” Chem. Eng. Prog., 45, pp. 39–48) method for predicting two phase flow pressure drop is examined from the point of view of asymptotic modeling. Comparisons are made with the Lockhart–Martinelli method, the Chisholm (1967, “A Theoretical Basis for the Lockhart-Martinelli Correlation for Two Phase Flow,” Int. J. Heat Mass Transfer, 10, pp. 1767–1778) method, and the Turner–Wallis (1969, One Dimensional Two Phase Flow, McGraw-Hill, New York) method. An alternative approach for predicting two phase flow pressure drop is developed using superposition of three pressure gradients: single phase liquid, single phase gas, and interfacial pressure drop. This new approach allows for the interfacial pressure drop to be easily modeled for each type of flow regime such as bubbly, mist, churn, plug, stratified, and annular, or based on the classical laminar-laminar, turbulent-turbulent, laminar-turbulent, and turbulent-laminar flow regimes proposed by Lockhart and Martinelli.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Lockhart and Martinelli’s (1) curves for the four flow regimes showing ϕl versus X

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Figure 2

Turner and Wallis’s (2) method for ϕl versus X for various derived and empirical values of p

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Figure 3

Chisholm’s (3) equation for ϕl versus X for various values of C

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Figure 4

Comparison of Awad and Muzychka (8) equation for various q

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Figure 5

Interfacial two phase multiplier for different flow regimes for the Chisholm model

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Figure 6

Interfacial two phase multiplier for different flow regimes

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Figure 7

Interfacial two phase multiplier for different flow regimes

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Figure 8

Interfacial two phase multiplier for different flow regimes

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Figure 9

Two phase multiplier for all data based on different flow regimes

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Figure 10

Interfacial two phase multiplier for different flow rates

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Figure 11

Two phase multiplier for different flow rates

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Figure 12

Interfacial two phase multiplier for different flow patterns

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Figure 13

Interfacial two phase multiplier for different flow patterns

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Figure 14

Interfacial two phase multiplier for different flow patterns

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