Simple rules are developed for obtaining rational bounds for two-phase frictional pressure gradient. Both the lower and upper bounds are based on the separate cylinders formulation. The lower bound is based on turbulent-turbulent flow that uses the Blasius equation to represent the Fanning friction factor. The upper bound is based on an equation that represents well the Lockhart-Martinelli correlation for turbulent-turbulent flow. The model is verified using published experimental data of two-phase frictional pressure gradient versus mass flux at constant mass quality. The published data include different working fluids such as R-12 and R-22 at different mass qualities, different pipe diameters, and different saturation temperatures. It is shown that the published data can be well bounded for a wide range of mass fluxes, mass qualities, pipe diameters and saturation temperatures. The bounds models are also presented in a dimensionless form as two-phase frictional multiplier (φl and φg) versus Lockhart-Martinelli parameter (X) for different working fluids such as R-12, R-22, air-oil and air-water mixtures.
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ASME 2005 International Mechanical Engineering Congress and Exposition
November 5–11, 2005
Orlando, Florida, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-4219-3
PROCEEDINGS PAPER
Bounds on Two-Phase Flow: Part I — Frictional Pressure Gradient in Circular Pipes Available to Purchase
M. M. Awad,
M. M. Awad
Memorial University of Newfoundland
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Y. S. Muzychka
Y. S. Muzychka
Memorial University of Newfoundland
Search for other works by this author on:
M. M. Awad
Memorial University of Newfoundland
Y. S. Muzychka
Memorial University of Newfoundland
Paper No:
IMECE2005-81493, pp. 813-821; 9 pages
Published Online:
February 5, 2008
Citation
Awad, MM, & Muzychka, YS. "Bounds on Two-Phase Flow: Part I — Frictional Pressure Gradient in Circular Pipes." Proceedings of the ASME 2005 International Mechanical Engineering Congress and Exposition. Fluids Engineering. Orlando, Florida, USA. November 5–11, 2005. pp. 813-821. ASME. https://doi.org/10.1115/IMECE2005-81493
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