Bounds on Two-Phase Frictional Pressure Gradient in Minichannels and Microchannels

Awad, M. M.; Muzychka, Y. S.

doi:10.1080/01457630701328197

Cited by 11 publications

(4 citation statements)

References 21 publications

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“…Awad and Muzychka [16] compared correlations of two-phase frictional pressure drop in a microchannel and reported that Lockhart and Martinelli's correlation with modified C-value was well predictable. The Lockhart and Martinelli's correlation was defined as follows:…”

Section: Correlationmentioning

confidence: 95%

Adiabatic two-phase flow in rectangular microchannels with different aspect ratios: Part I – Flow pattern, pressure drop and void fraction

Choi

Kim

2011

International Journal of Heat and Mass Transfer

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Section: Correlationmentioning

confidence: 95%

Adiabatic two-phase flow in rectangular microchannels with different aspect ratios: Part I – Flow pattern, pressure drop and void fraction

Choi

Kim

2011

International Journal of Heat and Mass Transfer

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“…The case can be represented with the Chisholm constant ( ) = 0 [6,48]. This can also be obtained using the asymptotic model for two-phase frictional pressure gradient with linear superposition ( = 1) [6].…”

Section: Proposed Methodologymentioning

confidence: 99%

“…Also, Awad and Muzychka [6] covered the literature review on two-phase frictional pressure gradient in microchannels and minichannels that was published until 2006.…”

Section: Literature Reviewmentioning

confidence: 99%

Modeling of Interfacial Component for Two-Phase Frictional Pressure Gradient at Microscales

Awad

Muzychka

2014

Advances in Mechanical Engineering

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A simple approach for calculating the interfacial component of frictional pressure gradient in two-phase flow at microscales is presented. This approach is developed using superposition of three pressure gradients: single-phase liquid, single-phase gas, and interfacial pressure gradient. The proposed model can be transformed in two different ways: first, two-phase interfacial multiplier for liquid flowing alone ( 2 , ) as a function of two-phase frictional multiplier for liquid flowing alone ( 2 ) and the LockhartMartinelli parameter, , and, second, two-phase interfacial multiplier for gas flowing alone ( 2 , ) as a function of two-phase frictional multiplier for gas flowing alone ( 2 ) and the Lockhart-Martinelli parameter, . This proposed model allows for the interfacial pressure gradient to be easily modeled. Comparisons of the proposed model with experimental data for microchannels and minichannels and existing correlations for both and versus are presented.

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“…This assumption is suitable because, in practice, both Re and Re are most often greater than 2000 in circular pipes. On the other hand, the assumption of laminar liquid-laminar gas is suitable for the flow in minichannels and microchannels [8] because, in practice, both Re and Re are most often less than 2000 in minichannels and microchannels.…”

Section: Development Of Bounds On Two-phase Frictional Pressurementioning

confidence: 99%

Bounds on Two-Phase Frictional Pressure Gradient and Void Fraction in Circular Pipes

Awad

Muzychka

2014

Advances in Mechanical Engineering

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Simple rules are developed for obtaining rational bounds for two-phase frictional pressure gradient and void fraction in circular pipes. The bounds are based on turbulent-turbulent flow assumption. Both the lower and upper bounds for frictional pressure gradient are based on the separate cylinders formulation. For frictional pressure gradient, the lower bound is based on the separate cylinders formulation that uses the Blasius equation to represent the Fanning friction factor while the upper bound is based on the separate cylinders equation that represents well the Lockhart-Martinelli correlation for turbulent-turbulent flow. For void fraction, the lower bound is based on the separate cylinders formulation that uses the Blasius equation to predict the Fanning friction factor while the upper bound is based on the Butterworth relationship that represents well the Lockhart-Martinelli correlation. These two bounds are reversed in the case of liquid fraction (1 − ). For frictional pressure gradient, 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, R-22, and Argon at different mass qualities, different pipe diameters, and different saturation temperatures. The bounds models are also presented in a dimensionless form as two-phase frictional multiplier ( and ) versus Lockhart-Martinelli parameter (X) for different working fluids such as R-12, R-22, and air-water and steam mixtures. For void fraction, the bounds models are verified using published experimental data of void fraction versus mass quality at constant mass flow rate. The published data include different working fluids such as steam, R-12, R-22, and R-410A at different pipe diameters, different pressures, and different mass flow rates. 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.

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Bounds on Two-Phase Frictional Pressure Gradient in Minichannels and Microchannels

Cited by 11 publications

References 21 publications

Adiabatic two-phase flow in rectangular microchannels with different aspect ratios: Part I – Flow pattern, pressure drop and void fraction

Adiabatic two-phase flow in rectangular microchannels with different aspect ratios: Part I – Flow pattern, pressure drop and void fraction

Modeling of Interfacial Component for Two-Phase Frictional Pressure Gradient at Microscales

Bounds on Two-Phase Frictional Pressure Gradient and Void Fraction in Circular Pipes

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