References

  1. J. Mitrovic, Flow structures of a liquid film falling on horizontal tubes, Chem. Eng. Technol., 28 (2005) 684–694.
  2. H. Glade, S. Cetinkaya, S. Will, S. Nied, G. Schürmann, Effects of the wetting rate on scale formation in multiple-effect distillers, Proc. EuroMed, Dead Sea, Jordan, 2008.
  3. X. Hu, The Intertube Falling-Film Modes: Transition, Hysteresis, and Effects on Heat Transfer, PhD Thesis, University of Illinois, 1995.
  4. X. Hu, A.M. Jacobi, Departure-site spacing for liquid droplets and jets falling between horizontal circular tubes, Exp. Thermal Fluid Sci., 16 (1998) 322–331.
  5. D. Maron-Moalem, S. Sideman, A.E. Dukler, Dripping characteristics in a horizontal tube film evaporator, Desalination, 27 (1978) 117–127.
  6. G.D. Fulford, The flow of liquids in thin films, Adv. Chem. Eng., 5 (1964) 151–236.
  7. L.K. Brumfield, T.G. Theoanous, On the prediction of heat transfer across turbulent liquid films, J. Heat Transf., 98 (1976) 496–502.
  8. R.B. Bird, W.E. Stewart, E.N. Lightfoot, Transport Phenomena, John Wiley & Sons, Inc., New York, 2002.
  9. J.T. Rogers, S.S. Goindi, Experimental laminar falling film heat transfer coefficients on a large diameter horizontal tube, Can. J. Chem. Eng., 67 (1989) 560–568.
  10. D. Barba, R. Di Felice, Heat transfer in turbulent flow on a horizontal tube falling film evaporator - a theoretical approach, Desalination, 51 (1984) 325–333.
  11. J.C. Han, L.S. Fletcher, Falling film evaporation and boiling in circumferential and axial grooves on horizontal tubes, Ind. Eng. Chem. Process Design Dev., 24 (1985) 570–575.
  12. W.H. Parken, L.S. Fletcher, V. Sernas, J.C. Han, Heat transfer through falling film evaporation and boiling on horizontal tubes, J. Heat Transf., 112 (1990) 744–750.
  13. M.-C. Chyu, A.E. Bergles, An analytical and experimental study of falling-film evaporation on a horizontal tube, J. Heat Transf., 109 (1987) 983–990.
  14. J.D. Killion, S. Garimella, Gravity-driven flow of liquid films and droplets in horizontal tube banks, Int. J. Refrig., 26 (2003) 516–526.
  15. X. Wang, M. He, H. Fan, Y. Zhang, Measurement of falling film thickness around a horizontal tube using laser-induced fluorescence technique, J. Phys. Conf. Ser, 147 (2009), doi: 10.1088/1742–6596/147/1/012039.
  16. H. Hou, Q. Bi, H. Ma, G. Wu, Distribution characteristics of falling film thickness around a horizontal tube, Desalination, 285 (2012) 393–398.
  17. X.D. Chen, S. Shen, Y. Wang, J. Chen, J. Zhang, Measurement on falling film thickness distribution around horizontal tube with laser-induced fluorescence technology, Int. J. Heat Mass Transf., 89 (2015) 707–713.
  18. J.T. Zhang, B.X. Wang, X.F. Peng, Falling liquid film thickness measurement by an optical-electronic method, Rev. Sci. Instrum., 71 (2000) 1883–1886.
  19. A. Stärk, K. Loisel, K. Odiot, A. Feßenbecker, A. Kempter, S. Nied, H. Glade, Wetting behaviour of different tube materials and its influence on scale formation in multiple-effect distillers, Desal. Water Treat., 55 (2015) 2502–2514.
  20. A.A. Mabrouk, K. Bourouni, H.K. Abdulrahim, M. Darwish, A.O. Sharif, Impact of tube bundle arrangement and feed flow pattern on the scale formation in large capacity MED desalination plants, Desalination, 357 (2015) 275–285.
  21. Micro-Epsilon Messtechnik GmbH & Co. KG, optoControl 2600 - High resolution LED micrometer, Technical information sheet. Available at: www.micro-epsilon.co.uk (accessed June 5, 2020).
  22. P.D. Welch, The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms, IEEE Trans. Audio Electroacoust., 15 (1967) 70–73.
  23. C. Wildebrand, Zum Einsatz polymerer Additive zur Reduktion der Belagbildung in Horizontalrohr-Verdampfern für die Meerwasserentsalzung, PhD Thesis, University of Bremen, 2006.
  24. D.R. Kester, I.W. Duedall, D.N. Connors, R.M. Pytkowicz, Preparation of artificial seawater, Limnol. Oceanogr., 12 (1967) 176–179.
  25. J. Mitrovic, Wärmeübergang in Rieselfilmen an waagrechten Rohren, VDI Verlag, Düsseldorf, 1990.
  26. M. Sumiji, S. Nakamura, K. Onuma, T. Hibiya, Optical measurement of resonant oscillation and Marangoni convectioninduced oscillation in a molten silicon surface, Japan. J. Appl. Phys., 39 (2000) 3688–3693.
  27. H. Linde, M.G. Velarde, A. Wierschem, W. Waldhelm, K. Loeschcke, A.Y. Rednikov, Interfacial wave motions due to Marangoni instability. I. Traveling periodic wave trains in square and annular containers, J. Colloid Interface Sci., 188 (1997) 16–26.
  28. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M.G. Velarde, Falling Liquid Films, Springer, London, 2012.
  29. G. Kocamustafaogullari, L.Y. Chen, Falling film heat transfer analysis on a bank of horizontal tube evaporator, AIChE J., 34 (1988) 1539–1549.
  30. S. Ishigai, Z. Nakanisi, Hydrodynamics and heat transfer of vertical falling liquid films, Bull. JSME, 15 (1972) 594–602.
  31. T.H. Chilton, A.P. Colburn, Mass transfer (absorption) coefficients - prediction from data on heat transfer and fluid friction, Ind. Eng. Chem., 26 (1934) 1183–1187.
  32. W. Ambrosini, N. Forgione, A. Manfredini, F. Oriolo, On various forms of the heat and mass transfer analogy: discussion and application to condensation experiments, Nucl. Eng. Design, 236 (2006) 1013–1027.
  33. J.H. Lienhard IV, J.H. Lienhard V, A Heat Transfer Textbook, Phlogiston Press, Cambridge, 2006.
  34. J.G. Collier, J.R. Thome, Convective Boiling and Condensation, Oxford University Press, New York, USA, 1994.
  35. K.P. Hupe, Wärmeübertragung am berieselten horizontalen Rohr, Chemie Ingenieur Technik, 34 (1962) 609–614.
  36. C. Wildebrand, H. Glade, S. Will, M. Essig, J. Rieger, K.-H. Büchner, G. Brodt, Effects of process parameters and anti-scalants on scale formation in horizontal tube falling film evaporators, Desalination, 204 (2007) 448–463.
  37. K. Krömer, S. Will, K. Loisel, S. Nied, J. Detering, A. Kempter, H. Glade, Scale formation and mitigation of mixed salts in horizontal tube falling film evaporators for seawater desalination, Heat Transf. Eng., 36 (2015) 750–762.
  38. A. Helalizadeh, H. Müller-Steinhagen, M. Jamialahmadi, Mixed salt crystallisation fouling, Chem. Eng. Process., 39 (2000) 29–43.
  39. N. Spanos, P.G. Koutsoukos, Kinetics of precipitation of calcium carbonate in alkaline pH at constant supersaturation. Spontaneous and seeded growth, J. Phys. Chem. B, 102 (1998) 6679–6684.
  40. J.W. Morse, R.S. Arvidson, A. Luttge, Calcium carbonate formation and dissolution, Chem. Rev., 107 (2007) 342–381.
  41. X.K. Xing, C.F. Ma, Y.C. Chen, Mechanism of calcium carbonate scale deposition under subcooled flow boiling conditions, Chin. J. Chem. Eng., 13 (2005) 464–470.
  42. T.M. Pääkkönen, M. Riihimäki, C.J. Simonson, E. Muurinen, R.L. Keiski, Crystallization fouling of CaCO3 - analysis of experimental thermal resistance and its uncertainty, Int. J. Heat Mass Transf., 55 (2012) 6927–6937.
  43. N. Andritsos, M. Kontopoulou, A.J. Karabelas, P.G. Koutsoukos, Calcium carbonate deposit formation under isothermal conditions, Can. J. Chem. Eng., 74 (1996) 911–919.
  44. M.K.V. Nair, B.M. Misra, Electrolytic scale formation in sea water distillation systems, Desalination, 25 (1978) 263–268.