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

2006 ◽  
Author(s):  
M. M. Awad ◽  
Y. S. Muzychka
Keyword(s):  
Laminar Flow ◽  
Pressure Gradient ◽  
Flow Model ◽  
Narrow Channel ◽  
Published Data ◽  
Phase Flow ◽  
Water Mixture ◽  
Two Phase ◽  
Working Fluids ◽  
Simple Rules

Simple rules are developed for obtaining rational bounds for two-phase frictional pressure gradient in minichannels and microchannels. The lower bound is based on Ali et al. correlation for laminar-laminar flow. This correlation is based on modification of simplified stratified flow model derived from the theoretical approach of Taitel and Dukler for the case of two-phase flow in a narrow channel. The upper bound is based on Chisholm correlation for laminar-laminar flow. The model is verified using published experimental data of two-phase frictional pressure gradient in circular and non-circular shapes. The published data include different working fluids such as air-water mixture and nitrogen-water mixture, and different channel diameters. 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 air-water mixture and nitrogen-water mixture. It is shown that the published data can be well bounded.

Bounds on Two-Phase Flow: Part I — Frictional Pressure Gradient in Circular Pipes

2005 ◽  
Author(s):  
M. M. Awad ◽  
Y. S. Muzychka
Keyword(s):  
Turbulent Flow ◽  
Pressure Gradient ◽  
Published Data ◽  
Two Phase ◽  
Working Fluids ◽  
Circular Pipes ◽  
Mass Fluxes ◽  
Wide Range ◽  
Flow Part ◽  
Fanning Friction Factor

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.

Numerical Simulation of Corrosion Inhibitor Transport in Pipelines Carrying Oil-Water Mixtures

2002 ◽  
Vol 124 (4) ◽  
pp. 239-245 ◽  
Author(s):  
Antonio Rojas-Figueroa ◽  
Yuri V. Fairuzov
Keyword(s):  
Crude Oil ◽  
Flow Model ◽  
Two Phase Flow ◽  
Fluid Model ◽  
Phase Flow ◽  
Water Mixture ◽  
Inhibitor Concentration ◽  
Two Phase ◽  
Injection Point ◽  
Oil Water

The transport of corrosion inhibitors in a pipeline carrying crude oil-water mixture has been studied using a transient liquid-liquid two-phase flow model. The fluid flow model (the hydrodynamic model) is based on a two-fluid model of two-phase flow. The model allows simulating the transfer of inhibitor from one phase to another (inhibitor partitioning) under steady-state and transient oil-water flow conditions. Both stratified and dispersed flow patterns can be modeled. Numerical simulations are presented to demonstrate the effects of topography of the line, locations of the inhibitor injection point, flow pattern, and partitioning of the inhibitor between the phases on the distribution of inhibitor concentration along the pipeline. The modeling can be used to predict the inhibitor volume needed to be injected (the dose rate) in order to provide the required inhibitor concentration in critical sections of crude-oil pipelines.

Numerical Simulation of Corrosion Inhibitor Transport in Pipelines Carrying Oil-Water Mixtures

2001 ◽  
Author(s):  
Antonio Rojas-Figueroa ◽  
Yuri V. Fairuzov
Keyword(s):  
Crude Oil ◽  
Flow Model ◽  
Two Phase Flow ◽  
Fluid Model ◽  
Phase Flow ◽  
Water Mixture ◽  
Inhibitor Concentration ◽  
Two Phase ◽  
Injection Point ◽  
Oil Water

Abstract The transport of corrosion inhibitors in a pipeline carrying crude oil-water mixture has been studied using a transient liquid-liquid two-phase flow model. The fluid flow model (the hydrodynamic model) is based on a two-fluid model of two-phase flow. The model allows simulating the transfer of inhibitor from one phase to another (inhibitor partitioning) under steady state and transient oil-water flow conditions. Both stratified and dispersed flow patterns can be modeled. Numerical simulations are presented to demonstrate the effects of topography of the line, locations of the inhibitor injection point, flow pattern, and partitioning of the inhibitor between the phases on the distribution of inhibitor concentration along the pipeline. The modeling can be used to predict the inhibitor volume needed to be injected (the dose rate) in order to provide the required inhibitor concentration in critical sections of crude-oil pipelines.

Bounds on Two-Phase Flow: Part II — Void Fraction in Circular Pipes

2005 ◽  
Author(s):  
M. M. Awad ◽  
Y. S. Muzychka
Keyword(s):  
Experimental Data ◽  
Void Fraction ◽  
Mass Flow ◽  
Liquid Fraction ◽  
Published Data ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Rates ◽  
Working Fluids ◽  
Mass Flow Rates

Theoretical and empirical models for the gas void fraction (α) are reviewed. Simple rules are developed for obtaining rational bounds for the void fraction in two-phase flow. The lower bound is based on the separate cylinders formulation for turbulent-turbulent flow that uses the Blasius equation to predict the Fanning friction factor. 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−α). 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 R-12 and R-22 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 qualities, pipe diameters, pressures and mass flow rates. Further comparisons are made using the published experimental data of void fraction (α) and liquid fraction (1−α) versus the Lockhart-Martinelli parameter (X), for different working fluids such as R-12, R-22 and air-water mixtures.

A ONE-DIMENSIONAL TWO-PHASE FLOW MODEL AND EXPERIMENTAL VALIDATION FOR A FLASHING VISCOUS LIQUID IN A SPLASH PLATE NOZZLE

2015 ◽  
Vol 25 (9) ◽  
pp. 795-817 ◽  
Author(s):  
Mika P. Jarvinen ◽  
A. E. P. Kankkunen ◽  
R. Virtanen ◽  
P. H. Miikkulainen ◽  
V. P. Heikkila
Keyword(s):  
Viscous Liquid ◽  
Experimental Validation ◽  
Flow Model ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
One Dimensional

Status of Advanced Two-Phase Flow Model Development for SRM Chamber Flow Field and Combustion Modeling

2004 ◽  
Author(s):  
Gary Luke ◽  
Mark Eagar ◽  
Michael Sears ◽  
Scott Felt ◽  
Bob Prozan
Keyword(s):  
Flow Field ◽  
Flow Model ◽  
Two Phase Flow ◽  
Model Development ◽  
Phase Flow ◽  
Two Phase ◽  
Combustion Modeling

scholarly journals Experimental Investigation and Prediction on Pressure Drop during Flow Boiling in Horizontal Microchannels

Micromachines ◽  
2021 ◽  
Vol 12 (5) ◽  
pp. 510
Author(s):  
Yan Huang ◽  
Bifen Shu ◽  
Shengnan Zhou ◽  
Qi Shi
Keyword(s):  
Pressure Drop ◽  
Flow Model ◽  
Two Phase Flow ◽  
Flow Boiling ◽  
Separated Flow ◽  
Heat Fluxes ◽  
Phase Flow ◽  
Vapor Quality ◽  
Two Phase ◽  
Gas Flux

In this paper, two-phase pressure drop data were obtained for boiling in horizontal rectangular microchannels with a hydraulic diameter of 0.55 mm for R-134a over mass velocities from 790 to 1122, heat fluxes from 0 to 31.08 kW/m2 and vapor qualities from 0 to 0.25. The experimental results show that the Chisholm parameter in the separated flow model relies heavily on the vapor quality, especially in the low vapor quality region (from 0 to 0.1), where the two-phase flow pattern is mainly bubbly and slug flow. Then, the measured pressure drop data are compared with those from six separated flow models. Based on the comparison result, the superficial gas flux is introduced in this paper to consider the comprehensive influence of mass velocity and vapor quality on two-phase flow pressure drop, and a new equation for the Chisholm parameter in the separated flow model is proposed as a function of the superficial gas flux . The mean absolute error (MAE ) of the new flow correlation is 16.82%, which is significantly lower than the other correlations. Moreover, the applicability of the new expression has been verified by the experimental data in other literatures.

A prospective study of anti-vibration mechanism of microfluidic fuel cell via novel two-phase flow model

Energy ◽  
2021 ◽  
Vol 218 ◽  
pp. 119543
Author(s):  
Jingxian Chen ◽  
Peihang Xu ◽  
Jie Lu ◽  
Tiancheng Ouyang ◽  
Chunlan Mo
Keyword(s):  
Fuel Cell ◽  
Prospective Study ◽  
Flow Model ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Vibration Mechanism ◽  
Microfluidic Fuel Cell ◽  
A Prospective Study
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