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Research Papers: Multiphase Flows

Non-Newtonian Liquid-Gas Non-Uniform Stratified Flow With Interfacial Level Gradient Through Horizontal Tubes

[+] Author and Article Information
Haiwang Li

School of Mechanical and Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798
National Key Lab. of Science
and Technology on Aero-Engines,
Beijing University of Aeronautics and Astronautics,
Beijing 100191, China

Teck Neng Wong

e-mail: mtnwong@ntu.edu.sg

Fei Duan

School of Mechanical and Aerospace Engineering,
Nanyang Technological University,
50 Nanyang Avenue,
Singapore 639798

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received January 22, 2013; final manuscript received November 6, 2013; published online December 24, 2013. Assoc. Editor: Mark R. Duignan.

J. Fluids Eng 136(2), 021303 (Dec 24, 2013) (7 pages) Paper No: FE-13-1039; doi: 10.1115/1.4026016 History: Received January 22, 2013; Revised November 06, 2013

This paper presents the predictions of the axial distribution of liquid level and interfacial level gradient (ILG) for nonuniform non-Newtonian liquid-gas flow in horizontal tubes. The non-Newtonian liquid is described using power-law model, while the model of Heywood and Charles for uniform non-Newtonian liquid-gas two-phase flow, which was developed based on one dimensional energy equation, is extended to describe nonuniform stratified flow by incorporating the effect of interfacial level gradient. Two different critical liquid levels are found from the energy equation and are adopted as boundary condition to calculate the interfacial level distribution upstream of the channel exit. The results from the model are compared with the published numerical and experimental data. The results show that the model can predict the interfacial level distribution and interfacial level gradient for nonuniform stratified flow. Low liquid velocity, low gas velocity and high liquid viscosity are beneficial for forming a nonuniform flow with interfacial level gradient. The difference between the analytical model and the published data is smaller than 10%.

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Figures

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Fig. 1

Uniform and non-Uniform smooth stratified flow

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Fig. 2

Horizontal smooth stratified flow with a visible interfacial level gradient

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Fig. 3

schematic description in the cross section of the pipe

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Fig. 4

Fluid discharge conditions and axial void calculation scheme

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Fig. 5

Comparisons of the proposed analytical model with published models including Sadatomi's model [18], Bishop's model [13], Taitel's model [19] for Newtonian flow (n = 1) and non-Newtonian flow [13] (n = 0.8)

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Fig. 6

Comparison of experimental interfacial level gradient [20] with analytical model

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Fig. 7

Comparison of model predictions (line) with Simpson et al. air-water data (symbol) [10]

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Fig. 8

Comparisons between the measured (symbols) [11] and predicted (lines) interfacial level gradient parameter (Σ) with Lockhart-Martinelli parameter for Newtonian flow

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Fig. 9

Comparisons between the measured (symbols) and predicted (lines) interfacial level gradient parameter (Σ) with Lockhart-Martinelli parameter for non-Newtonian flow

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Fig. 10

Comparison of experimental ILG parameter Σ with analytical model

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