Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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Development of droplet entrainment and deposition models for horizontal flow

  • Received : 2017.08.24
  • Accepted : 2018.01.04
  • Published : 2018.04.25
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Abstract

Models for the rate of atomization and deposition of droplets for stratified and annular flow in horizontal pipes are presented. The entrained fraction is the result of a balance between the rate of atomization of the liquid layer that is in contact with air and the rate of deposition of droplets. The rate of deposition is strongly affected by gravity in horizontal pipes. The gravitational settling of droplets is influenced by droplet size: heavier droplets deposit more rapidly. Model calculation and simulation results are compared with experimental data from various diameter pipes. Validation for the suggested models was performed by comparing the Safety and Performance Analysis Code for Nuclear Power Plants calculation results with the droplet experimental data obtained in various diameter horizontal pipes.

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References

  1. J.K. Schimpf, K.D. Kim, Droplet entrainment and deposition in horizontal stratified two-phase flow. World Academy of Science, Engineering and Technology (WASET), Int. J. Nucl. Quant. Eng. 4 (5) (2017).
  2. L.R. Williams, Effect of Pipe Diameter on Horizontal Annular Two-Phase Flow, Ph.D. Dissertation, University of Illinois at Urbana-Champaign, 1990.
  3. J.C. Dallman, Investigation of Separated Flow Model in Annular Gas-liquid Two-phase Flows, Ph.D. thesis, University of Illinois, Urbana, IL, 1978.
  4. J.E. Laurinat, T.J. Hanratty, W.P. Jepson, Film thickness distribution for gasliquid annular flow in a horizontal pipe, PCH Physicochem. Hydrodyn. 6 (1-2) (1984) 179-195.
  5. L. Pan, T.J. Hanratty, Correlation of entrainment for annular flow in horizontal pipes, Int. J. Multiphas. Flow 28 (2002) 385-408. https://doi.org/10.1016/S0301-9322(01)00074-X
  6. M. Valette, F. Henry, Droplet Entrainment Over a Stratified Flow in a PWR Hot Leg: Results of the REGARD Experiment, CEA, 2015.
  7. I. Mantilla, Mechanistic Modeling of Liquid Entrainment in Gas in Horizontal Pipes, Ph.D. Dissertation, University of Tulsa, 2008.
  8. D.D. McCoy, T.J. Hanratty, Rate of deposition of droplets in annular two-phase flow, Int. J. Multiphas. Flow 3 (1975) 319-331.
  9. L. Williams, L. Dykhno, T. Hanratty, Droplet flux distributions and entrainment in horizontal gas-liquid flows, Int. J. Multiphas. Flow 22 (1) (1996) 1-18. https://doi.org/10.1016/0301-9322(95)00054-2
  10. L.G. Alexander, C.L. Coldren, Droplet transfer from suspending air to duct walls, J. Ind. Eng. Chem 43 (1951) 1325-1331. https://doi.org/10.1021/ie50498a024
  11. S. Namie, T. Ueda, Droplet transfer in two-phase annular mist flow, Bull. Jpn. Soc. Mech. Eng. 15 (1972) 1568. https://doi.org/10.1299/jsme1958.15.1568
  12. R.J. Anderson, T.W.F. Russell, Film formation in two-phase annular flow, AIChE (Am. Inst. Chem. Eng.) 14 (1970) 626-633.
  13. J.L. Binder, T.J. Hanratty, Use of Lagrangian methods to describe drop deposition and distribution in horizontal gas-liquid annular flows, Int. J. Multiphase. Flow 18 (1992) 803-820. https://doi.org/10.1016/0301-9322(92)90060-T
  14. D.F. Tatterson, J.C. Dallman, T.J. Hanratty, Drop sizes in annular gas-liquid flows, J. AIChE (Am. Inst. Chem. Eng.) 23 (1977) 68-76. https://doi.org/10.1002/aic.690230112
  15. A. Al-Sarkhi, T. Hanratty, Effect of pipe diameter on the drop size in a horizontal annular gaseliquid flow, Int. J. Multiphas. Flow 28 (10) (2002) 1617-1629. https://doi.org/10.1016/S0301-9322(02)00048-4
  16. J.C. Dallman, B.G. Jones, T.J. Hanratty, Interpretation of entrainment measurements in annular gaseliquid flows, in: F. Durst, G.V. Tsiklauri, N.H. Afgan (Eds.), Two-Phase Momentum, Heat and Mass Transfer, vol. 2, Hemisphere, Washington, DC, 1979, pp. 681-693.
  17. P. Andreussi, J. Asali, T.J. Hanratty, Initiation of roll waves in gaseliquid flows, J. AIChE (Am. Inst. Chem. Eng.) 31 (1985) 126.