On the modelling of droplet-film interaction considering entrainment, deposition and breakage processes

Chemical Engineering Science

Volumn 64, Issue 6, 2009, Pages 1362-1371

  Patruno, L E ^a   Dorao, C A ^a   Svendsen, H F ^a   Jakobsen, H A ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Annular flow; Breakage; Deposition; Entrainment; Least squares method; Population balance; Two phase flow

Indexed keywords

CURVE FITTING; DROP FORMATION; DROPS; LEAST SQUARES APPROXIMATIONS; MULTIPHASE FLOW; POPULATION STATISTICS;

ANNULAR FLOW; BREAKAGE; DEPOSITION; ENTRAINMENT; LEAST SQUARES METHOD; POPULATION BALANCE;

TWO PHASE FLOW;

EID: 59349094107     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2008.11.023     Document Type: Article

References (32)

1. Alipchenkov V.M., Nigmatulin R.I., Soloviev S.L., Stonik O.G., Zaichik L.I., and Zeigarnik Y.A. A three-fluid model of two-phase dispersed-annular flow. International Journal of Heat and Mass Transfer 47 (2004) 5323-5338
2. Chatzikyriakou, D., Walker, S.P., Hewitt, G.F., Narayanan, C., Lakehal, D., 2008. Comparison of measured and modelled droplet-hot wall interactions. Applied Thermal Engineering, doi:10.1016/j.applthermaleng.2008.02.012.
3. Coulaloglou C.A., and Tavlarides L.L. Description of interaction processes in agitated liquid-liquid dispersions. Chemical Engineering Science 32 (1977) 1289-1297
4. Dorao C.A., and Jakobsen H.A. Application of the least-squares method for solving population balance problems. Chemical Engineering Science 61 15 (2006) 5070-5081
5. Dorao C.A., and Jakobsen H.A. A least squares method for the solution of population balance problems. Computers and Chemical Engineering 30 3 (2006) 535-547
6. Dorao C.A., and Jakobsen H.A. Least-squares spectral method for solving advective population balance problems. Journal of Computational and Applied Mathematics 201 1 (2007) 247-257
7. Dorao, C.A., Fernandino, M., Patruno, L.E., Dupuy, P.M., Jakobsen, H.A., Svendsen, H.F., 2007. Macroscopic description of droplet-film interaction for natural gas processing. Applied Mathematical Modelling, accepted for publication, doi:10.1016/j.apm.2008.10.040.
8. Hutchinson P., Whalley P.B., and Hewitt G.F. Transient flow redistribution in annular two-phase flow. International Journal of Multiphase Flow 1 (1974) 383-393
9. Jakobsen H.A. Chemical Reactor Modeling-Multiphase Reactive Flows (2008), Springer, Berlin ISBN: 978-3-540-25197-2
10. Jakobsen H.A., Lindborg H., and Dorao C.A. Modeling of Bubble Column Reactors: Progress and Limitations. International Journal of Chemical Reactor Engineering 44 14 (2005) 5107-5151
11. Jiang B. The Least-Square Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics (1998), Springer, Berlin ISBN 3-540-63934-9
12. Johnsen, C.G., 2007. Experimental and numerical investigation of droplet phenomena. Dr. Ing. Thesis, The Norwegian University of Science and Technology. ISBN 978-82-471-5515-8.
13. Kataoka, I., Ishii, M., 1982. Mechanism and correlation of droplet entrainment and deposition in annular two-phase flow. NUREG/CR-2885, ANL-82-84.
14. Kataoka I., Ishii M., and Mishima K. Generation and size distribution of droplet in annular two-phase flow. Journal of Fluids Engineering 105 (1983) 230-238
15. Kerst A.W., Judat B., and Schlünder E.-U. Flow regimes of free jets and falling films at high ambient pressure. Chemical Engineering Science 55 (2000) 4189-4208
16. Kolev, N.I., 2007. Multiphase Flow Dynamics 2. Springer, Berlin. ISBN: 978-3-540-69834-0.
17. Konno M., Aoki M., and Saito S. Simulation model for break-up process in agitated tank. Chemical Engineering Journal 13 (1980) 67-73
18. Konno M., Aoki M., and Saito S. Scale effect on break-up process in liquid-liquid agitated tanks. Journal of Chemical Engineering of Japan 16 (1983) 312-319
19. Martínez-Bazán C., Montanes J.L., and Lasheras J.C. A review of statistical models for the break-up of an immiscible fluid immersed into a fully developed turbulent flow. Journal of Multiphase Flow 26 (2002) 247-278
20. McCoy D.D., and Hanratty T.J. Rate of deposition of droplets in annular two-phase flow. International Journal of Multiphase Flow 3 (1997) 319-331
21. Morud J.C. Dilute gas-liquid flows with liquid films on walls. Progress in Computational Fluid Dynamics 7 (2007) 170-175
22. Paleev I.I., and Filipovich B.S. Phenomena in liquid transfer in two-phase dispersed annular flow. International Journal of Heat and Mass Transfer 9 (1966) 1089
23. Pan L., and Hanratty T.J. Correlation of entrainment for annular flow in vertical pipes. International Journal of Multiphase Flow 28 3 (2002) 363-384
24. Pan L., and Hanratty T.J. Correlation of entrainment for annular flow in horizontal pipes. International Journal of Multiphase Flow 28 3 (2002) 385-408
25. Patruno, L.E., Dorao, C.A., Dupuy, P.M., Svendsen, H.F., Jakobsen, H.A., 2008a. Identification of droplet breakage kernel for population balance modelling. Chemical Engineering Science doi:10.1016/j.ces.2008.05.015, in press.
26. Patruno, L.E., Dorao, C.A., Svendsen, H.F., Jakobsen, H.A., 2008b. Analysis of breakage kernel for population balance modelling. Chemical Engineering Science doi:10.1016/j.ces.2008.09.029, in press.
27. Sawant P., Ishii M., and Michitsugu Mori M. Droplet entrainment correlation in vertical upward co-current annular two-phase flow. Nuclear Engineering and Design 238 (2008) 1342-1352
28. Schadel, S.A., 1988. Atomization and deposition rates in vertical annular two-phase flow. Ph.D. Thesis, Department of Chemical Engineering, University of Illinois, Urbana, USA.
29. Valentas K.J., Bilous O., and Amundson N.R. Analysis of breakage in dispersed phase systems. Industrial and Engineering Chemistry Fundamentals 5 (1966) 271-279
30. Weisstein, E.W., Log normal distribution. From MathWorld-A Wolfram Web Resource. 〈http://mathworld.wolfram.com/LogNormalDistribution.html〉.
31. Whalley P.B. Boiling Condensation and Gas-Liquid Flow (1990), Oxford University Press, Oxford ISBN: 0-19-856234-9
32. Xie H., Koshizuka S., and Oka Y. Numerical simulation of liquid drop deposition in annular-mist flow regime of boiling water reactor. Journal of Nuclear Science and Technology 41 5 (2004) 569-578