Free Access
Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011
Complex Fluids
Page(s) 157 - 183
Published online 10 August 2011
  1. M. Avrami. Kinetics of Phase Change. I. General Theory. J. Chem. Phys., 7 (1939), No. 12, 1103–1112. [NASA ADS] [CrossRef] [Google Scholar]
  2. M. Avrami. Kinetics of Phase Change. II. Transformation-Time Relations for Random Distribution of Nuclei. J. Chem. Phys., 8 (1940), No. 2, 212–224. [Google Scholar]
  3. M. Avrami. Kinetics of Phase Change. III. Granulation, Phase Change, and Microstructure. J. Chem. Phys., 9 (1941), No. 2, 177–184. [NASA ADS] [CrossRef] [Google Scholar]
  4. L.F.A. Azevedo, A.M. Texeira. A critical review of the modeling of wax deposition mechanisms. Pet. Sci. Technol., 21 (2003), No. 3& 4, 393–408. [CrossRef] [Google Scholar]
  5. E.D. Burger, T.K. Perkins, J.H.J. Striegler. Studies of wax deposition in the trans Alaska pipeline. J. Pet. Technol., June (1981), 1075–1086.. [Google Scholar]
  6. E. Comparini, F. Talamucci. A general model for wax diffusion in crude oils under thermal gradient, in Applied and Industrial Mathematics in Italy, (v. Cutello et al. eds.), World Scientific (2007), 259–270. [Google Scholar]
  7. S. Correra, A. Fasano, L. Fusi, M. Primicerio, F. Rosso. Wax diffusivity under given thermal gradient: a mathematical model, ZAMM Z. Angew. Math. Mech., 87 (2007), No. 1, 24–36. [CrossRef] [MathSciNet] [Google Scholar]
  8. S. Correra, A. Fasano, L. Fusi, M. Primicerio. Modelling of wax diffusion in crude oils: the cold finger device, Appl. Math. Modl., 31 (2007), No. 10, 2286–2298. [CrossRef] [Google Scholar]
  9. S. Correra, A. Fasano, L. Fusi L., D. Merino–Garcia D.. Calculating deposit formation in the pipelining of waxy crude oils. Meccanica, 42 (2007), No. 2, 149–165. [CrossRef] [MathSciNet] [Google Scholar]
  10. B. Coto, C. Martos, J.J. Espada, M.D. Robustillo, J.L. Peña. Analysis of paraffin precipitation from petroleum mixtures by means of DSC: iterative procedure considering solid-liquid equilibrium equations. Fuel, 89 (2010), 1087–1094. [CrossRef] [Google Scholar]
  11. J.A.P. Coutinho, K. Knudsen, S.I. Andersen. A local composition model for paraffinic solis solution. Chem. Eng. Science, 51 (1996), No. 12, 3273–3282. [CrossRef] [Google Scholar]
  12. J.A.P. Coutinho, V. Ruffier-Meary. The use of differential scanning calorimetry in studies of wax deposition: measuring the solid formation and binary solid-liquid equilibrium phase diagrams. Oil Gas Sci. Technol., 54 (1999), No. 5, 641–648. [CrossRef] [EDP Sciences] [Google Scholar]
  13. J.A.P. Coutinho, B. Edmonds, T. Moorwood, R. Szczepanski, X. Zhang. Reliable wax predictions for flow assurance. Energ. Fuel, 20 (2006), 1081–1088. [CrossRef] [Google Scholar]
  14. J.C. Escobar-Remolina. Prediction of characteristics of wax precipitation in synthetic mixtures and fluids of petroleum: a new model. Fluid Phase Equilibr., 240 (2006), 197–203. [CrossRef] [Google Scholar]
  15. L. Faienza. Mathematical models for wax deposition in crude oils. PhD Thesis, Dept. of Math., University of Florence (2010). [Google Scholar]
  16. A. Fasano, M. Primicerio. Heat and mass transfer in non-isothermal partially saturated solutions. New Trends in Mathematical Physics,(P. Fergola et al. eds.), World Scientific (2003), 33–44. [Google Scholar]
  17. A. Fasano, M. Primicerio. Temperature driven mass transport in concentrated saturated solutions. Prog. nonlin., 61 (2005), 91-108. [Google Scholar]
  18. A. Fasano, M. Primicerio. Wax deposition in crude oil: a new approach. Rend. Mat. Acc. Lincei, 9 (2005), 251-263. [Google Scholar]
  19. A. Fasano, L. Fusi, J.R. Ockendon, M. Primicerio. Gelification and mass transport in a static non-isothermal waxy solution. Euro. J. of Appl. Math., 20 (2009), No. 1, 93–122. [CrossRef] [Google Scholar]
  20. R. Gianni, A.G. Petrova. One-dimensional problem for heat and mass transport in oil-wax solution. Rend. Mat. Acc. Lincei, 9 (2005), 181–196. [Google Scholar]
  21. A. Hammami, A.K. Mehrotra. Non-isothermal crystallization kinetics of n-paraffins with chain lenght between thirty and fifty. Thermochim. Acta, 211 (1992), 137–153. [CrossRef] [Google Scholar]
  22. A. Hammami, A.K. Mehrotra. Non-isothermal crystallization kinetics of even-numbered and odd-numbered normal alkanes. Thermochim. Acta, 215 (1993), 197–209. [CrossRef] [Google Scholar]
  23. A.N. Kolmogorov. In Russian. Bull. Acad. Sci. USSR. Ser. Math., 3 (1937), 355–359. [Google Scholar]
  24. M. Margarone, R. Bagatin, C. Busto, P. D’Olimpio, L. Fusi, L. Faienza, A. Fasano, M. Primicerio. A wax crystallization model from DSC experiments. 11th International Conference on Petroleum Phase Behavior and Fouling, 13 - 17 June 2010, Jersey City, NJ, US. [Google Scholar]
  25. D. Merino-Garcia, M. Margarone, S. Correra. Kinetics of waxy gel formation from batch experiments. Energ. Fuel, 21 (2007), 1287–1295. [CrossRef] [Google Scholar]
  26. T. Ozawa. Kinetics of non-isothermal crystallization. Polymer, 12 (1971), 150–158. [CrossRef] [Google Scholar]
  27. S.K. Pedersen, P. Skovborg, P.D. Hans. Wax Precipitation from North Sea Crude Oils: Thermodyamic Modeling. Energ. Fuel, 5 (1991), 924–932. [CrossRef] [Google Scholar]
  28. M. Primicerio. Wax Segregation in Oils: A Multiscale Problem. in Progress in Industrial Mathematics at ECMI 2008 (A.D.Fitt et al. eds.), Springer 2010, pp 43-68. [Google Scholar]
  29. E. Ramirez-Jaramillo, C. Lira-Galeana, O. Manero. Modeling wax deposition in pipelines. Petrol. Sci. Technol., 22 (2004), 821–861. [CrossRef] [Google Scholar]
  30. P. Sajkiewicz, L. Carpaneto, A. Wasiak. Application of the Ozawa model to non-isothermal crystallization of poly(ethylene terephthalete). Polymer, 42 (2001), 5365–5370. [CrossRef] [Google Scholar]
  31. P. Singh, R. Venkatesan, H.S. Fogler, N. Nagarajan. Formation and aging of incipient thin film wax-oil gels. AIChE J., 46 (2000), No. 5, 1059–1074 [Google Scholar]
  32. K.W. Won. Thermodynamics for Solid Solution-Liquid-Vapor-Equilibria: Wax Phase Formation from Heavy Hydrocarbon Mixtures. Fluid Phase Equilibr., 30 (1986), 265–279. [CrossRef] [Google Scholar]
  33. Z. Zhang, C. Xiao, Z. Dong. Comparison of the Ozawa and modified Avrami models of polymer crystallization under non-isothermal conditions using a commputer simulation method. Thermochim. Acta, 466 (2007), 22–28. [CrossRef] [Google Scholar]
  34. M.I. Zougari, T. Sopkow. Introduction to Crude Oil Wax Crystallization Kinetics: Process Modeling. Ind. Eng. Chem. Res., 46 (2007), 1360–1368. [CrossRef] [Google Scholar]

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