Frictional pressure drop analysis for horizontal and vertical air-water two-phase flows in different pipe sizes

Abstract This study performs an experimental investigation of frictional pressure drop in air–water two-phase flows in straight pipes. A reliable experimental database for the two-phase pressure drop and void fraction is established with a differential pressure transducer and a four-sensor conductivity probe, respectively. The two-phase flow investigated focuses on gas-dispersed flow regimes in different pipe diameters of 38.1 mm, 50.8 mm, and 101.6 mm. Systematic study on the effects of flow orientation, flow regime and pipe size is performed. The most commonly used predictive models for the two-phase frictional pressure drop are evaluated with the newly established database and the existing databases found in the literature. It is demonstrated that both the conventional Lockhart-Martinelli approach and the ϕ f – α > correlation can generally predict the two-phase frictional pressure drop very well with different suggested values of coefficients C and n for different flow orientations, based on the established data. Meanwhile, the results show that the values of C and n are independent of the pipe size and the flow regime. The homogeneous flow model is evaluated with four β (ratio of volumetric flow rates) based mixture viscosity correlations. The predictions with the Beattie and Whalley mixture viscosity correlation are found to be the best regardless of the flow orientation. The Lockhart-Martinelli approach with the coefficient C calculated by correlation employed in the nuclear system analysis code RELAP5-3D and the Muller-Steinhagen and Heck correlation are also evaluated. It is found that these two modeling approaches as well as the homogeneous flow model tend to underestimate most of the experimental data. Improvements for pressure drop prediction in nuclear reactor safety analysis codes are observed.

[1]  Seungjin Kim,et al.  Characterization of horizontal air–water two-phase flow in a round pipe part II: Measurement of local two-phase parameters in bubbly flow , 2015 .

[2]  S. Bajorek,et al.  Experimental study of horizontal air-water plug-to-slug transition flow in different pipe sizes , 2018, International Journal of Heat and Mass Transfer.

[3]  S. Qiao,et al.  Inlet effects on vertical-downward air–water two-phase flow , 2017 .

[4]  B. Shannak,et al.  Frictional pressure drop of gas liquid two-phase flow in pipes , 2008 .

[5]  Mamoru Ishii,et al.  Development of the Miniaturized Four-sensor Conductivity Probe and the Signal Processing Scheme , 2000 .

[6]  Hideo Nakamura,et al.  Methodological improvement of an intrusive four-sensor probe for the multi-dimensional two-phase flow measurement , 2005 .

[7]  John R. Thome,et al.  Prediction of Two-Phase Pressure Gradients of Refrigerants in Horizontal Tubes , 2002 .

[8]  Wei Li,et al.  A general correlation for adiabatic two-phase pressure drop in micro/mini-channels , 2010 .

[9]  H. Müller-Steinhagen,et al.  A simple friction pressure drop correlation for two-phase flow in pipes , 1986 .

[10]  Mamoru Ishii,et al.  Sensitivity study on double-sensor conductivity probe for the measurement of interfacial area concentration in bubbly flow , 1999 .

[11]  T. Hibiki,et al.  Frictional pressure drop correlation for two-phase flows in mini and micro multi-channels , 2017 .

[12]  J. Buchanan,et al.  Characterization of horizontal air–water two-phase flow in a round pipe part I: Flow visualization , 2015 .

[13]  R. Lockhart Proposed Correlation of Data for Isothermal Two-Phase, Two-Component Flow in Pipes , 1949 .

[14]  Peter Spedding,et al.  Measurement and prediction of pressure drop in two‐phase flow , 1995 .

[15]  M. E. Charles,et al.  Vertical two‐phase flow: Part II. Holdup and pressure drop , 1974 .

[16]  S. Bories,et al.  Experimental study of air-water two-phase flow through a fracture (narrow channel) , 1995 .

[17]  Yu-Juei Chang,et al.  Two-phase pressure drop of air–water and R-410A in small horizontal tubes , 2001 .

[18]  S. Bajorek,et al.  Effects of pipe size on horizontal two-phase flow: Flow regimes, pressure drop, two-phase flow parameters, and drift-flux analysis , 2018, Experimental Thermal and Fluid Science.

[19]  K. Yamaguchi,et al.  Characteristics of Cocurrent Two-Phase Downflow in Tubes , 1979 .

[20]  I. Teke,et al.  Comparison of frictional pressure drop models during annular flow condensation of R600a in a horizontal tube at low mass flux and of R134a in a vertical tube at high mass flux , 2010 .

[21]  S. Qiao,et al.  Interfacial area transport across a 90° vertical-upward elbow in air–water bubbly two-phase flow , 2016 .

[22]  W. Zhang,et al.  Correlations of two-phase frictional pressure drop and void fraction in mini-channel , 2010 .

[23]  S. Bajorek,et al.  Experimental study of interfacial structure of horizontal air-water two-phase flow in a 101.6 mm ID pipe , 2018 .

[24]  Kwang-Il Choi,et al.  Two-phase pressure drop of R-410A in horizontal smooth minichannels , 2008 .

[25]  浩爾 赤川,et al.  気水混合物の流動 : 第3報 水平管および傾斜管上向流における摩擦損失 , 1957 .

[26]  D. Chisholm A theoretical basis for the Lockhart-Martinelli correlation for two-phase flow , 1967 .

[27]  T. Hibiki,et al.  Some characteristics of air-water two-phase flow in small diameter vertical tubes , 1996 .

[28]  C. Hoxie,et al.  Experiments in Cap-Bubbly Two-Phase Flows for Two-Group IATE Development , 2015 .

[29]  G. Kocamustafaogullari,et al.  Measurement and modeling of average void fraction, bubble size and interfacial area , 1994 .

[30]  A. Dukler,et al.  Frictional pressure drop in two‐phase flow: A. A comparison of existing correlations for pressure loss and holdup , 1964 .

[31]  S. Bajorek,et al.  Experimental investigation of horizontal air–water bubbly-to-plug and bubbly-to-slug transition flows in a 3.81 cm ID pipe , 2017 .

[32]  Aysenur Toptan,et al.  Sensitivity studies on the multi-sensor conductivity probe measurement technique for two-phase flows , 2016 .

[33]  Weiwei Chen,et al.  Evaluation of frictional pressure drop correlations for two-phase flow in pipes , 2012 .

[34]  Seungjin Kim,et al.  Experiments on geometric effects of 90-degree vertical-upward elbow in air water two-phase flow , 2014 .

[35]  Seungjin Kim,et al.  Characterization of horizontal air–water two-phase flow , 2017 .

[36]  Kaichiro Mishima,et al.  Evaluation Analysis of Prediction Methods for Two-Phase Flow Pressure Drop in Mini-Channels , 2008 .

[37]  P. Whalley,et al.  A Simple Two-Phase Frictional Pressure Drop Calculation Method , 1982 .

[38]  Z. Ali,et al.  Investigation of pressure drop in horizontal pipes with different diameters , 2017 .