Numerical Investigation and Performance Evaluation of Boiling Slug Flow Regime of Water Vapor in Vertical Tubes

Document Type : Regular Article

Authors

1 Faculty of Mechanical Engineering, University of Guilan, Rasht, Iran

2 Independent Researcher, Iran

3 Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran

10.47176/jafm.18.10.3458

Abstract

The boiling phenomenon and two-phase flow regimes have provoked extensive research due to the increased heat transfer coefficient and significant industrial applications. In order to model correct heat transfer of boiling, it is important to simulate its nucleation sites. In this work, boiling phenomenon simulation is carried out numerically in a vertical tube. The operating fluid is water which enters the tube with upward flow at saturated condition. Numerical investigation is carried out by Eulerian-Eulerian volume of fluid model in two-dimensional coordinate system. Slug flow simulation has been conducted by numerically simulating the embryonic bubbly flow at the beginning part of the tube and slugs have been created after formation of nucleation sites. To do so, heat and mass transfer during the flow motion is considered by the rate of mass and energy exchange between the phases and is added to governing equations. One of the key outputs of the numerical simulation is accomplishment of boiling slug flow pattern. Correspondingly, hydrodynamic and heat transfer characteristics of boiling flow regime like bubble detachment location, slug shape and size, local and average heat transfer coefficient are investigated. Furthermore, the effects of Reynolds and Boiling numbers have been studied. Reynolds number in the range of 27000 to 101000 has been considered. It is found that by doubling the Reynolds number, a 36% increase in mean heat transfer coefficient is observed. Additionally increase in the Boiling number by 60%, leads to 3% increase in the mean heat transfer coefficient.

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Bennett, A. W., Hewitt, A. W., Kearsey, H. A. (1965). Flow visualization studies of boiling at high pressure. Proceedings of the Institution of Mechanical Engineers. 180(3C), 1-11. https://doi.org/10.1243/PIME_CONF_1965_180_119_02
Brackbill, J., Liou, W.W., Shabbir, A., Yang, Z., & Zhu, J. (1995). A new k-epsilon eddy viscosity model for high Reynolds number turbulent Flows - model development and validation. Computers and Fluids, 24, 227–238.
Celata, G. P., Cumo, M., Dossevi, D., Jilisen, R. T. M., Saha, S. K., & Zummo, G. (2011). Visualisation of flow boiling heat transfer in a microtube. Heat Mass Transfer, 47, 941–949. https://doi.org/10.1007/s00231-011-0846-0
Chen, J. C. (1966). Correlation for boiling heat transfers to saturated fluids in convective flow. Industrial & Engineering Chemistry Process Design and development, 5, 322-329. https://doi.org/10.1021/i260019a023
Collier, G. J., & Thome, J. R. (1994). Convective boiling and condensation. Clarendon Press, Oxford.
De Schepper, S. C. K., Heynderickx, G. J., & Marin, G. B. (2008). CFD modeling of all gas–liquid and vapor–liquid flow regimes predicted by the Baker chart. Chemical Engineering Journal, 138, 349–357. https://doi.org/10.1016/j.cej.2007.06.007
Etminan, A., & Muzychka, Y. S. (2024). Effects of flow characteristics on the heat transfer mechanism in Taylor flow. International Journal of Heat and Mass Transfer, 219, 124917. https://doi.org/10.1016/j.ijheatmasstransfer.2023.124917
Etminan, A., Muzychka, Y. S., & Pope, K. (2021). Numerical investigation of gas-liquid and liquid-liquid Taylor flow through a circular microchannel with a sudden expansion. The Canadian Journal of Chemical Engineering, 100(7), 1596-1612. https://doi.org/10.1002/cjce.24229
Etminan, A., Muzychka, Y. S., & Pope, K. (2022). Liquid film thickness of two-phase slug flows in capillary microchannels: a review paper. The Canadian Journal of Chemical Engineering, 100(2), 325-348. https://doi.org/10.1002/cjce.24068
Etminan, A., Muzychka, Y. S., & Pope, K. (2023). Experimental and numerical analysis of heat transfer and flow phenomena in Taylor flow through a straight mini-channel. Journal of Heat and Mass Transfer, 145(8), 081801.  https://doi.org/10.1115/1.4062175
Ferrari, A., Magnini, M., & Thome J. R. (2018). Numerical analysis of slug flow boiling in square microchannels. International Journal of Heat and Mass Transfer, 123, 928-944. https://doi.org/10.1016/j.ijheatmasstransfer.2018.03.012
Gungor, K. E., & Winterton, R. H. (1986). A general correlation for flow boiling in tubes and annuli. International Journal of Heat and Mass transfer, 29, 351-358. https://doi.org/10.1016/0017-9310(86)90205-X
Hassani, M., & Kouhikamali, R. (2020). Heat and mass modeling of R-245fa and R1233zd(E) with concurrent boiling and convective evaporation in falling film applications. International Journal of Refrigeration, 117, 181-189. https://doi.org/10.1016/j.ijrefrig.2020.05.002
Hassani, M., Bagheri Motlagh, M., & Kouhikamali, R. (2020). Numerical investigation of upward air-water annular, slug and bubbly flow regimes. Journal of Computational and Applied Research in Mechanical Engineering, 9(2), 331-341. https://10.22061/jcarme.2019.3893.1453
Hirt, C., & Nichols, B. (1981). Volume of fluid (VOF) method for the dynamics of free boundries. Journal of Computational Physics, 39, 201-225. https://doi.org/10.1016/0021-9991(81)90145-5
Jaeger, J., Santos, C. M., Rosa, L. M., Meier, H. F., & Noriler, D. (2018). Experimental and numerical evolution of slugs in a vertical air-water flow. Internatiol Journal of Multiphase Flow, 101, 152-166. https://doi.org/10.1016/j.ijmultiphaseflow.2018.01.009
Kouhikamali, R. (2010). Numerical simulation and parametric study of forced convective condensation in cylindrical vertical channels in multiple effect desalination systems. Desalination, 254, 49–57. https://doi.org/10.1016/j.desal.2009.12.015
Krepper, E., & Rzehak, R. (2011). CFD for subcooled flow boiling: Simulation of DEBORA experiments. Nuclear Engineering and Design, 241, 3851-3866. https://doi.org/10.1016/j.nucengdes.2011.07.003
Krepper, E., Koncar, B., & Egorov, Y. (2007). CFD modelling of subcooled boiling—concept, validation and application to fuel assembly design. Nuclear Engineering and Design, 237, 716-731. https://doi.org/10.1016/j.nucengdes.2006.10.023
Lagus, T. P., & Kulacki, F. A. (2012). Two-phase heat transfer and bubble characteristics in a microchannel array. Journal of Heat Transfer-Transactions of the ASME, 134 (7). https://doi.org/10.1115/1.4006097
Lee, W. (1979). A Pressure iteration scheme for two-phase modeling. Los Alamos Scientific Laboratory. Los Alamos, New Mexico: Technical Report LA-UR, 79-975. https://doi.org/10.1142/9789814460286_0004
Li, H., Vasquez, S. A., Punekar, H., & Muralikrishnan, R. (2011). Prediction of boiling and critical heat flux using an eulerian multiphase boiling model. ASME, Denver, Colorado: International Mechanical Engineering Congress & Exposition, 463-476. https://doi.org/10.1115/IMECE2011-65539
Ling, T., Wang, T., Lei, G., Fang, Z., Zhao, L., & Xu, C. (2021). Experimental study on slug flow characteristics and its suppression by microbubbles in gas-liquid mixture pipeline. Journal of Applied Fluid Mechanics, 14(2), 567-579. 10.47176/jafm.14.02.31482
Magnini, M., & Thome, J. R. (2016). Computational study of saturated flow boiling within a microchannel in the slug flow regime. Journal of Heat Transfer-Transactions of the ASME, 138 (2).  https://doi.org/10.1115/1.4031234
Magnini, M., Pulvirenti, B., & Thome, J. R. (2013). Numerical investigation of influence of leading and sequential bubbles on slug flow boiling within a microchannel. International Journal of Thermal Sciences, 71, 36-52. https://doi.org/10.1016/j.ijthermalsci.2013.04.018
Medina, C. D., Bassani, C. L., Cozin, C., Barbuto, F. A. A., Juqueira, S. L. M., & Morales, R. E. (2015). Numerical simulatio of the heat transfer in fully developed horizontal two-phase slug flows using a slug tracking method. Internatioal Journal of Thermal Sciences, 88, 258-266. https://doi.org/10.1016/j.ijthermalsci.2014.05.007
Mehdipour, R., Baniamerian, Z., & Delauré, Y. (2016). Three dimensional simulation of nucleate boiling heat and mass transfer in cooling passages of internal combustion engines. Heat Mass Transfer, 52, 957–968. https://doi.org/10.1007/s00231-015-1611-6
Mehdizadeh Momen, A., Sherif, S. A., & Lear, W. E. (2016). An analytical-numerical model for two-phase slug flow through a sudden area change in microchannels. Journal of Applied Fluid Mechanics, 9(4), 1839-1850. 10.18869/acadpub.jafm.68.235.24576
Montenegro, G., D’Errico, G., Della Torre, A., Cadei, L., & Masi, S. (2016). Slug catcher multiphase CFD modeling: optimization and comparison with industrial standards. Journal of Applied Fluid Mechanics, 9(1), 1-9. 10.36884/jafm.9.SI1.25816
Pan, Z., Weibel, J. A., & Garimella, S. V. (2016). A saturated-interface-volume phase change model for simulating flow boiling. International Journal of Heat and Mass Transfer, 93, 945–956. https://doi.org/10.1016/j.ijheatmasstransfer.2015.10.044
Schmelter, S., Olbrich, M., Schmeyer, E., & Bär, M. (2020) Numerical simulation, validation, and analysis of two-phase slug flow in large horizontal pipes. Flow Measurment and Instrumentation, 73, 101722. https://doi.org/10.1016/j.flowmeasinst.2020.101722
Shah, M. M. (1976). A new correlation for heat transfer during boiling flow through pipes. ASHRAE Transactions, 82, 66-86.
Shah, M. M. (1982). Chart correlation for saturated boiling heat transfer: equations and further study. Ashrae Trans, 88, 185-196.
Shih, T. H., Liou, W. W., Shabbir, A., Yang, Z., & Zhu, J. (1995). A new k-epsilon eddy viscosity model for high Reynolds number turbulent Flows - model development and validation. Computers and Fluids, 24, 227–238. https://doi.org/10.1016/0045-7930(94)00032-T
Shin, H. C., Senguttuvan, S., & Kim, S. M. (2023). Experimental study on sub-regimes of air-water slug flow in a rectangular micro-channel. International Journal of Mechanical Sciences, 259, 108577. https://doi.org/10.1016/j.ijmecsci.2023.108577
Simões, E. F., Carneiro, J. N. E., & Nieckele, A. O. (2014). Numerical prediction of non-boiling heat transfer in horizontal stratified and slug flow by the Two-Fluid Model. International Journal of Heat and Fluid Flow, 47, 135-145. https://doi.org/10.1016/j.ijheatfluidflow.2014.03.005
Steiner, D., & Taborek, J. (1992). Flow boiling heat transfer in vertical tubes correlated by an asymptotic model. Heat Transfer Engineering, 13, 43-69. https://doi.org/10.1080/01457639208939774
Sumith, B., Kaminaga, F., & Matsumura, K. (2003). Saturated flow boiling of water in a vertical small diameter tube.  Experimental Thermal and Fluid Science, 27, 789-801. https://doi.org/10.1016/S0894-1777(02)00317-5
Sun, D. L., Xu, J. L., & Wang, L. (2012). Development of a vapor–liquid phase change model for volume-of-fluid method in FLUENT. International Communications in Heat and Mass Transfer, 39, 1101–1106. https://doi.org/10.1016/j.icheatmasstransfer.2012.07.020
Taha, T., & Cui, Z.F. (2006). CFD modelling of slug flow in vertical tubes. Chemical Engineering Science, 61, 676-687. https://doi.org/10.1016/j.ces.2005.07.022
Wang, T., Gui, M., Zhang, T., Bi, Q., Zhao, J., & Liu, Z. (2021). Experimental investigation on characteristics parameters of air-water slug flow in a vertical tube. Chemical Engineering Science, 246, 116895. https://doi.org/10.1016/j.ces.2021.116895
Yan, K., & Che, D. (2011). Hydrodynamic and mass transfer characteristics of slug flow in a vertical pipe with and without dispersed small bubbles. International Journal of Multiphase Flow, 37, 299-325. https://doi.org/10.1016/j.ijmultiphaseflow.2010.11.001
Yang, Z., Peng, X., & Ye, P. (2008). Numerical and experimental investigation of two phase flow during boiling in a coiled tube. International Journal of Heat and Mass Transfer, 51, 1003-1016. https://doi.org/10.1016/j.ijheatmasstransfer.2007.05.025