New Correlation for Predicting Frictional Pressure Drop of Proppant-Laden Slurries Using Surface Pressure Data

2002 ◽  
Author(s):  
Vibhas J. Pandey ◽  
Joel A. Robert
Keyword(s):  
Pressure Drop ◽  
Surface Pressure ◽  
Pressure Data ◽  
Frictional Pressure Drop ◽  
New Correlation

Evaluation Analysis of Prediction Methods for Two-Phase Flow Pressure Drop in Mini-Channels

2008 ◽  
Author(s):  
Licheng Sun ◽  
Kaichiro Mishima
Keyword(s):  
Pressure Drop ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Turbulent Region ◽  
Frictional Pressure Drop ◽  
New Correlation ◽  
Mini Channels ◽  
Flow Pressure ◽  
Better Than

2092 data of two-phase flow pressure drop were collected from 18 published papers of which the working fluids include R123, R134a, R22, R236ea, R245fa, R404a, R407C, R410a, R507, CO2, water and air. The hydraulic diameter ranges from 0.506 to 12mm; Relo from 10 to 37000, and Rego from 3 to 4×105. 11 correlations and models for calculating the two-phase frictional pressure drop were evaluated based upon these data. The results show that the accuracy of the Lockhart-Martinelli method, Mishima and Hibiki correlation, Zhang and Mishima correlation and Lee and Mudawar correalion in the laminar region is very close to each other, while the Muller-Steinhagen and Heck correlation is the best among the evaluated correlations in the turbulent region. A modified Chisholm correlation was proposed, which is better than all of the evaluated correlations in the turbulent region and its mean relative error is about 29%. For refrigerants only, the new correlation and Muller-Steinhagen and Heck correlation are very close to each other and give better agreement than the other evaluated correlations.

Pressure Drop Correlations of Single-Phase and Two-Phase Flow in Rolling Tubes

2006 ◽  
Author(s):  
Xia-Xin Cao ◽  
Chang-Qi Yan ◽  
Pu-Zhen Gao ◽  
Zhong-Ning Sun
Keyword(s):  
Experimental Data ◽  
Pressure Drop ◽  
Single Phase ◽  
Experimental Studies ◽  
Frictional Coefficient ◽  
Bubble Flow ◽  
Two Phase ◽  
Frictional Pressure Drop ◽  
Rolling Condition ◽  
New Correlation

A series of experimental studies of frictional pressure drop for single phase and two-phase bubble flow in smooth rolling tubes were carried out. The tube inside diameters were 15mm, 25mm and 34.5mm respectively, the rolling angles of tubes could be set as 10° and 20°, and the rolling periods could be set as 5s, 10s and 15s. Combining with the analysis of single-phase water motion, it was found that the traditional correlations for calculating single-phase frictional coefficient were not suitable for the rolling condition. Based on the experimental data, a new correlation for calculating single-phase frictional coefficient under rolling condition was presented, and the calculations not only agreed well with the experimental data, but also could display the periodically dynamic characteristics of frictional coefficients. Applying the new correlation to homogeneous flow model, two-phase frictional pressure drop of bubble flow in rolling tubes could be calculated, the results showed that the relative error between calculation and experimental data was less than ± 25%.

A General Frictional Pressure Drop Correlation for Condensation in Microfin Tubes

2017 ◽  
Author(s):  
Zhichuan Sun ◽  
Wei Li
Keyword(s):  
Pressure Drop ◽  
Reduced Pressure ◽  
Error Band ◽  
Frictional Pressure Drop ◽  
New Correlation ◽  
Data Points ◽  
Fin Tubes ◽  
Microfin Tubes ◽  
Experimental Pressure ◽  
Good Agreement

Experimental pressure drop data of condensation from the previous literature were collected to develop a general frictional pressure drop correlation for horizontal micro-fin tubes. The collected database contained 481 data points, covering nine working fluids at average saturated condensing temperatures ranging between 14 and 65°C, with mass velocities ranging from 50 to 800 kg/m2s, and average vapor qualities from 0.11 to 0.91. The hydraulic diameter of micro-fin tubes varied from 2.16 to 5.67 mm and was employed in the calculation of Reynolds number. The Fanning frictional factor was calculated by adopting the Churchill model with the empirically fitted relative roughness. Four existing pressure drop correlations developed for micro-fin tubes were evaluated by the database for condensation in micro-fin tubes. The correlation proposed by Cavallini et al. was the best prediction model among them, predicting 85.6% of the collected data points within the 30% error band. In addition, a new correlation based on the Martnelli parameter Xtt modified by incorporating the reduced pressure was proposed to predict the present database, which showed a good agreement.

PRESSURE DROP CHARACTERISTICS OF R410A-OIL MIXTURE FLOW BOILING IN SMALL SMOOTH TUBES

2010 ◽  
Vol 18 (02) ◽  
pp. 109-116 ◽  
Author(s):  
YIFENG GAO ◽  
BIN DENG ◽  
GUOLIANG DING ◽  
HAITAO HU ◽  
XIANGCHAO HUANG
Keyword(s):  
Pressure Drop ◽  
Flow Boiling ◽  
Smooth Tube ◽  
Two Phase ◽  
Experimental Conditions ◽  
Mixture Flow ◽  
Frictional Pressure Drop ◽  
New Correlation ◽  
Smooth Tubes ◽  
Local Properties

This study presents experimental frictional pressure drop for R410A/oil mixture flow boiling in small horizontal smooth tubes with inside diameters of 4.18 mm and 2.0 mm. Experimental conditions cover nominal oil concentrations from 0 to 5%. The test results show that the presence of oil enhances two-phase frictional pressure drop about 0–120% and 0–90% at present test conditions for 4.18 mm I.D. smooth tube and 2.0 mm I.D. smooth tube, respectively, and the enhanced effect is more evident at higher vapor qualities where the local oil concentrations are higher. A new correlation to predict the local frictional pressure drop of R410A/oil mixture flow boiling inside conventional size and small smooth tubes is developed based on local properties of refrigerant–oil mixture, and the experimental data of 4.18 mm I.D. and 2.0 mm I.D. smooth tubes and that of 6.34 mm I.D. smooth tube (Hu et al., 2008) are well-correlated with the new correlation.

Condensation of Refrigerant in a Multi-Port Channel

2003 ◽  
Author(s):  
Shigeru Koyama ◽  
Ken Kuwahara ◽  
Koichi Nakashita
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Surface Tension ◽  
Pressure Drop ◽  
Large Diameter ◽  
Hydraulic Diameter ◽  
Enhancement Effect ◽  
Frictional Pressure Drop ◽  
New Correlation ◽  
Rectangular Channels

In the present paper, the local characteristics of pressure drop and heat transfer are investigated experimentally for the condensation of pure refrigerant R134a in four kinds of multi-port extruded aluminum tubes of about 1 mm in hydraulic diameter. Two tubes are composed of plane rectangular channels, while remaining two tubes are composed of rectangular channels with straight micro-fins. The experimental data of frictional pressure drop (FPD) and heat transfer coefficient (HTC) in plane tubes are compared with previous correlations, most of which are proposed for the condensation of pure refrigerant in a relatively large diameter tube. It is confirmed that parameters such as tube diameter, surface tension, free convection in FPD and HTC correlations should be taken into account more precisely. Considering the effects of surface tension and kinematic viscosity, new correlation of FPD is developed based on the Mishima-Hibiki correlation. New correlation of HTC is also developed modifying the effect of diameter in the correlation of Haraguchi et al. Both new correlations are compared with experimental data for tubes with micro-fins. Satisfactory agreement between experimental and predicted results is obtained. This means that the micro-fin effect is taken into account by using hydraulic diameter and the heat transfer enhancement effect of micro-fins is mainly due to the enlargement of heat transfer area.

Experimental and Prediction Methods Investigation of Two-Phase Frictional Pressure Drop in Rectangular Narrow Channel

2013 ◽  
Author(s):  
Dong Huang ◽  
Pu-zhen Gao
Keyword(s):  
Experimental Data ◽  
Pressure Drop ◽  
Narrow Channel ◽  
Mean Deviation ◽  
Prediction Methods ◽  
Vapor Mixture ◽  
Two Phase ◽  
Frictional Pressure Drop ◽  
Viscosity Models ◽  
New Correlation

An experimental investigation on two-phase frictional pressure drop of water-vapor mixture was conducted in a vertical rectangular narrow channel. The present experimental data were carefully analyzed and compared against the homogenous model, including several well-known two-phase viscosity models. The results reveal that the models using two-phase viscosity proposed by Cicchitti and Dukler provide the relatively accurate predictions, while McAdams, Beattie-Whalley, Lin and Awad-Muzychka poorly predicted the database. Considering the effects of surface tension, gravity, channel size and mass flux, a new correlation for two-phase frictional pressure drop in rectangular narrow channel was developed based on the Cicchitti model. The new correlation predict the experimental data with a mean deviation of 18.7%.

A new correlation of two-phase frictional pressure drop for evaporating flow in pipes

2012 ◽  
Vol 35 (7) ◽  
pp. 2039-2050 ◽  
Author(s):  
Yu Xu ◽  
Xiande Fang
Keyword(s):  
Pressure Drop ◽  
Two Phase ◽  
Frictional Pressure Drop ◽  
New Correlation

Two-phase pressure drop due to friction in micro-channel

2013 ◽  
Vol 228 (5) ◽  
pp. 921-931 ◽  
Author(s):  
Tae-Woo Lim ◽  
Sam-Sang You ◽  
Jong-Su Kim ◽  
Serng-Bae Moon ◽  
Dong-Hoan Seo
Keyword(s):  
Pressure Drop ◽  
Flow Boiling ◽  
Homogeneous Model ◽  
Absolute Error ◽  
Heat Fluxes ◽  
Micro Channel ◽  
Two Phase ◽  
Pressure Drops ◽  
Frictional Pressure Drop ◽  
New Correlation

This paper deals with an experimental investigation to measure the frictional pressure drops for two-phase flow boiling in a micro-channel with a hydraulic diameter of 500 µm. First, the experimental study is performed under the test conditions: heat fluxes ranging from 100 to 400 kW/m2, vapor qualities from 0 to 0.2, and mass fluxes of 200, 400 and 600 kg/m2s. Then, the frictional pressure drop during flow boiling is estimated using two models: the homogeneous model and the separated flow model. The experimental results show that the two-phase multiplier decreases with the increase of mass flux. In addition, the measured pressure drops are compared with those from a few correlation models available for macro-scales and mini/micro-scales. Finally, the present paper proposes a new correlation for two-phase frictional pressure drops in mini/micro-scales. This correlation model is developed based on the Chisholm constant C as a function of two-phase Reynolds and Weber numbers. It is found that the new correlation satisfactorily predicts the experimental data within mean absolute error (MAE) of 3.9%.

A new correlation of two-phase frictional pressure drop for condensing flow in pipes

2013 ◽  
Vol 263 ◽  
pp. 87-96 ◽  
Author(s):  
Yu Xu ◽  
Xiande Fang
Keyword(s):  
Pressure Drop ◽  
Two Phase ◽  
Frictional Pressure Drop ◽  
New Correlation

VOID FRACTION AND FRICTIONAL PRESSURE DROP IN INVERTED FILM BOILING HYDROGEN

Equipment ◽  
2006 ◽  
Author(s):  
J. Pasch ◽  
S. Anghaie
Keyword(s):  
Pressure Drop ◽  
Void Fraction ◽  
Film Boiling ◽  
Frictional Pressure Drop
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