References
- C. Berna, A. Escriva, J.L. Munoz-Cobo, L.E. Herranz, "Review of droplet entrainment in the annular flow: interfacial waves and onset of entrainment", Prog. Nucl. Energy 74 (2014) 14-43.
- A.M. Aliyu, A.A. Almabrok, Y.D. Baba, A. Archibong-Eso, L. Lao, H. Yeung, K. C. Kim, Prediction of entrained droplet fraction in Co-current annular gas-liquid flow in vertical pipes, Exp. Therm. Fluid Sci. 85 (2017) 287-304.
- K. K. Kuo and F. B. Cheung, "Droplet Entrainment of Breakup by Shear Flow, "Combustion Propulsion and Ballistic Technology Corporation, 1217 Smithfield Street, PA, 16801..
- M.J. Holowach, L.E. Hochreiter, F.B. Cheung, " A model for droplet entrainment in heated annular flow", Int. J. Heat Fluid Flow 23 (2002) 807-822.
- A. Wolf, S. Jayanti, G.F. Hewitt, Flow development in vertical annular flow, Chem. Eng. Sci. 53 (2001) 3221-3235.
- B.J. Azzopardi, Drops in annular tho-phase flow, Int. J. Multiphas. Flow 23 (1998) 1-53.
- R. Zhang, H. Liu, S. Dong, M. Liu, A probability model for fully developed annular flow in vertical pipes: film thickness, interfacial shear stress, and droplet size distribution, J. Heat Tran. 139 (2017).
- M. Ishii, M.A. Grolmes, Inception criteria for droplet entrainment in two-phase concurrent film flow, AIChE J. 21 (2) (1975) 308-318.
- W.D. Hinkle, H. Fenech, A study of liquid mass transport in annular air-water flow, Nucl. Sci. Eng. 87 (1) (1984) 2-12.
- A.A. Sarkhi, C. Sarica, B. Qureshi, Modeling of droplet entrainment in Co-current annular two-phase flow: a new approach, Int. J. Multiphas. Flow 39 (2012) 21-28.
- A. Cioncolini, J.R. Thome, Prediction of the entrainment liquid fraction in vertical annular gas-liquid two-phase flow, Int. J. Multiphas. Flow 36 (4) (2010) 293-302.
- J. Wurtz, An experimental and theoretical investigation of annular steam-water flow in tubes and annuli at 30 to 90 bar, Riso Report No. 372 (1978).
- G.H. Yeoh, Thermal hydraulic considerations of nuclear reactor systems: past, present and future challenges, Experimental and Computational Multiphase Flow 1 (1) (2019) 3-27.
- M. Wicks, A.E. Dukler, In situ measurements of drop size distribution in two-phase flow: a new method for electrically conducting liquid, in: Paper Presented at International Heat Transfer Conference, 1966. Chicago, IL.
- G.B. Wallis, "The Onset of Droplet Entrainment in Annular Gas-Liquid Flow", General Electric Report, 1962.
- L.B. Cousins, G.F. Hewitt, "Liquid Phase Mass Transfer in Annular Two-phase Flow: Droplet Deposition and Liquid Entrainment", 1968. UKAEA Report, AERE-5657.
- R.K.F. Keeys, J.C. Ralph, D.N. Roberts, Liquid Entrainment in Adiabatic Steam Water Flow at 500 and 100 Psia, 1970. UKAEA report, AERE-R6292.
- M.L. Bertodano, C. Jan, S. Beus, Annular flow entrainment rate experiment in a small vertical pipe, Nucl. Eng. Des. 178 (1) (1997) 61-70.
- A. Assad, C. Jan, M.L. Bertodano, S. Beus, Scaled entrainment measurement in ripple annular flow in A small tube, Nucl. Eng. Des. 184 (1998) 437-447.
- E.R. Quandt, Measurement of some basic parameters in two-phase annular flow, American Institute of Chemical Engineers Journal 11 (2) (1965) 311-318.
- B.J. Azzopardi, S.H. Zaidi, " determination of entrainment fraction in vertical annular gas/liquid flow", J. Fluid Eng. 122 (1) (2000) 146-150.
- T. Okawa, A. Kotani, I. Kataoka, M. Naito, Prediction of critical heat flux in annular flow using a film flow model, J. Nucl. Sci. Technol. 40 (6) (2003) 388-396.
- B.J. Azzopardi, Mechanism s of entrainment in annular two-phase flow, UKAEA Atomic Energy Research Establishments (1983). AERE-11068.
- P. Andreussi, J.C. Asali, T.J. Hanratty, " Initiation of roll waves in gas-liquid flows", AIChE 31 (1985) 119-126.
- H. Han, A Study of Entrainment in Two-phase Upward Concurrent Annular Flow in A Vertical Tube, PhD thesis, 2005.
- J. Yao, Y. Yao, Transient CFD modeling of air-water two-phase annular flow characteristics in a small horizontal circular pipe, Fluid 7 (6) (2022).
- N. Ayuba, F.R. Machado, C.A. Rosa, T.J. Lopes, A. Silva, 3D interface analysis of velocity, volume ratio, and Reynolds number effects on core annular flow (CAF), Experimental and Computational Multiphase Flow 4 (2021) 133-141.
- J. Shi, B. Sun, G. Zhang, F. Song, L. Yang, " Prediction of dryout and post-dryout wall temperature at different operating parameters for once-through steam generators", Int. J. Heat Mass Tran. 103 (2016) 66-76.
- H. Li, A. Henryk, " CFD model of diabatic annular two-phase flow using the eulerian-lgrangian approach", Ann. Nucl. Energy 77 (2015) 415-424.
- W. Fan, H. Li, H. Anglart, " A study of rewetting and conjugate heat transfer influence on dryout and post dryout phenomena with a multi-domain coupled CFD approach", Int. J. Heat Mass Tran. 163 (2020).
- B.N. Kishore, S. Jayanti, " A multidimensional model for annular gas-liquid flow", Chem. Eng. Sci. 59 (2004) 3577-3589.
- H. Anzai, Y. Shindo, Y. Kohata, M. Hasegwa, H. Takana, T. Matsunaga, T. Akaike, M. Otha, " Coupled discrete phase model and Eulerian wall film model for numerical simulation of respiratory droplet generation during coughing", Sci. Rep. 12 (2022). Article 14849.
- P. Sawant, M. Ishii, M. Mori, Droplet entrainment correlation in vertical upward Co-current annular two-phase flow, Nucl. Eng. Des. 238 (2008) 1342-1352.
- L. E. Stone, P.W. Wypych, D. B. Hastie and S. Zigan, " CFD-DEM modelling of powder flows and dust generation mechanisms - a review", ICBMH 2016 - 12th International Conference on Bulk Materials Storage, Handling and Transportation, Proceedings (pp. 417-426). Barton, Australia: Engineers Australia..
- S. Sivier, E. Loth, J. Baum, R. Lohner, "Eulerian-Eulerian and Eulerian-Lagrangian methods in two phase flow", Eulerian-Eulerian and Eulerian-Lagrangian methods in two phase flow, in: M. Napolitano, F. Sabetta (Eds.), Thirteenth International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, 414, Springer, Berlin, Heidelberg, 1993.
- ANSYS, Inc., ANSYS Fluent User's Guide, 2015. November.
- A. Guha, " transport and deposition of particles in turbulent and laminar flow", Annu. Rev. Fluid Mech. 40 (2008) 311-341.
- S.K. Friedlander, Deposition of Suspended Particles from Turbulent Gas Streams, Engineering Experiment Station, University of Illinois, 1954. Technical Report No. 13.
- W.H. Henstock, T.J. Hanratty, " the interfacial drag and the height of the wall layer in annular flows", AIChE J. 22 (6) (1976) 990-1000.
- K. Hori, M. Nakasatomi, K. Nishikawa, K. Sekoguchi, " Study of ripple region in annular two-phase flow (3rd report, effect of liquid viscosity on gas-liquid interfacial character and friction factor)", Trans. Jap. Soc. Mech. Eng. 44 (1978) 3847-3856.
- R. MacGillivary, Gravity and Gas Density Effects on Annular Flow Average Thickness and Frictional Pressure Drop (M.S Thesis), University of Saskatchewan, Saskatoon, Canada, 2004.
- P. Ju, C.S. Brooks, M. Ishii, Y. Liu, T. Hibiki, Film thickness of vertical upward co-current adiabatic flow in pipes, Int. J. Heat Mass Tran. 89 (2015) 985-995.
- R. Kumar, M. Gottmann, K.R. Sridhar, " film thickness and wave velocity measurement in a vertical duct", J. Fluid Eng. 124 (3) (2002) 634-642.
- P. Marmottant, E. Villermaux, " on spray formation", J. Fluid Mech. 498 (2004) 73-111.
- P. Ju, Y. Lie, X. Yang, M. Ishii, " Wave characteristics of vertical upward adiabatic annular flow in pipes", Int. J. Heat Mass Tran. 145 (2019).
- A. Al-Sarkhi, C. Sarica, K. Magrini, " Inclination effects on wave characteristics in annular gas-liquid flows", AIChE J. 58 (4) (2011) 1018-1029.
- D. Schubring, T.A. Shedd, " Wave behavior in horizontal annular air-water flow", Int. J. Multiphas. Flow 34 (2008) 636-646.
- G.H. Hewitt, A.H. Govan, Phenomenological modeling of non-equilibrium flows with phase change, Int. J. Heat Mass Tran. 33 (1991) 229-242.
- D.F. Tatterson, J.C. Dallman, T.J. Hanratty, Drop sizes in annular gas-liquid flows, AIChE J. 23 (1) (1977) 68-76.
- I. Kataoka, M. Ishii, K. Mishima, Generation and size distribution of droplet in annular two-phase flow, Transactions of the ASME 105 (1983) 230-238.
- G.F. Hewitt, D.N. Roberts, " Studies of Two-phase Flow Pattern by Simultaneous X-Ray and Flash Photography", 1969. Report, AERE-M2159.
- M.B. Alamu, B.J. Azzopardi, " simultaneous investigation of entrained liquid fraction, liquid film thickness and pressure drop in vertical annular flow", J. Energy Resour. Technol. 133 (2) (2011) 023103.
- A. Liu, C. Yan, F. Zhu, H. Gu, S. Gong, " Liquid film thickness of vertical upward annular flow in narrow rectangular channel", Chem. Eng. Res. Des. 175 (2021) 10-24.
- D.M. Jepson, B.J. Azzopardi, P.B. Whalley, " the effect of gas properties of drops in annular flow", Int. J. Multiphas. Flow 15 (1989) 327-339.
- A. Mondal, S. Sharma, " Prediction of entrainment fraction in two-phase gas-liquid co-current annular flow-A machine learning approach,", Int. J. Heat Mass Tran. 226 (2024).