Geodesic
Wax deposition in crude oils: a new approach
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 4, pp. 251-263.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The complex phenomenon of solid wax deposition in wax saturated crude oils subject to thermal gradients has been treated in a number of papers under very specific assumptions (e.g. thermodynamical equilibrium between dissolved wax and the wax suspended in the oil as a crystallized phase). Here we want to consider a more general framework in which thermodynamical equilibrium may not exist, the whole system may form a gel-like structure in which the segregated solid wax has no diffusivity, the thermal field may evolve due to a non-negligible difference between the thermal conductivity of the solid wax deposit growing at the cold wall of the container and the conductivity of oil, etc. 
@article{RLIN_2005_9_16_4_a3,
     author = {Fasano, Antonio and Primicerio, Mario},
     title = {Wax deposition in crude oils: a new approach},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {251--263},
     publisher = {mathdoc},
     volume = {Ser. 9, 16},
     number = {4},
     year = {2005},
     zbl = {1121.76064},
     mrnumber = {279448},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_4_a3/}
}
TY  - JOUR
AU  - Fasano, Antonio
AU  - Primicerio, Mario
TI  - Wax deposition in crude oils: a new approach
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 2005
SP  - 251
EP  - 263
VL  - 16
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_4_a3/
LA  - en
ID  - RLIN_2005_9_16_4_a3
ER  - 
%0 Journal Article
%A Fasano, Antonio
%A Primicerio, Mario
%T Wax deposition in crude oils: a new approach
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 2005
%P 251-263
%V 16
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_4_a3/
%G en
%F RLIN_2005_9_16_4_a3
Fasano, Antonio; Primicerio, Mario. Wax deposition in crude oils: a new approach. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 4, pp. 251-263. http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_4_a3/

[1] L.F.A. Azevedo - A.M. Teixedra, A critical review of the modelling of wax deposition mechanism. Petroleum Science and Technology, 21, 2003, 393-408.

[2] E.D. Burger - T.K. Perkins - J.H. Striegler, Studies of wax deposition in the trans Alaska pipeline. Journal of Petroleum Technology, 1981, 1075-1086.

[3] J.R. Cannon - C.D. Hill, On the movement of a chemical reaction interface. Indiana Math. J., 20, 1970, 429-454. | MR | Zbl

[4] J.R. Cannon - A. Fasano, Boundary value multidimensional problems in fast chemical reactions. Arch. Rat. Mech. Anal., 53, 1973, 1-13. | MR | Zbl

[5] S. Correra - A. Fasano - L. Fusi - M. Primicerio - F. Rosso, Wax diffusivity under given thermal gradient: mathematical model. Submitted. | Zbl

[6] S. Correra - A. Fasano - L. Fusi - M. Primicerio, Modelling wax diffusion in crude oils: the cold finger device. Submitted. | Zbl

[7] S. Correra - A. Fasano - L. Fusi - D. Merino-Garcia, Predicting deposit formation in the pipelining of waxy crude oils. Submitted. | Zbl

[8] A. Fasano, Free boundary problems for parabolic equations with Cauchy data on the free boundary. In: E. MAGENES (ed.), Proc. Sem. Free Boundary Problems (Pavia September-October 1979). Ist. Naz. di Alta Matematica, vol. II, Roma 1980, 237-247. | MR | Zbl

[9] A. Fasano - S. Correra - L. Fusi, Mathematical models for waxy crude oils. Meccanica, 39,2004,441-483. | Zbl

[10] A. Fasano - M. Primicerio, Heat and mass transfer in non-isothermal partially saturated solutions. Recent Trends in Mathematical Physics, to appear.

[11] A. Fasano - M. Primicerio, Temperature driven mass transport in concentrated saturated solutions. Progress in Nonlinear Differential Equations and their Applications, 61, 2005, 91-108. | DOI | MR | Zbl

[12] A. Fasano - M. Primicerio, New results on some classical free boundary problems. Quart. Appl. Math., 38, 1981,439-460. | MR | Zbl

[13] A. Fasano - M. Primicerio, General free-boundary for the heat equation, I. J. Math. Anal. Appl., 57, 1977, 694-723. | MR | Zbl

[14] A. Fasano - D. Giorni, On a one-dimensional problem related to bioremediation of polluted soils. Adv. Math. Sci. Appl., 14, 2004, 443-455. | MR | Zbl

[15] M. V. Kok - O. Saracoglu, Mahematical modelling of wax deposition in crude oil pipeline system. SPE, 2000, 1-7.

[16] R. Venkatesan - H.S. Fogler, Comments and analogies for correlated heat and mass transfer in turbulence flux. AlCh. E.J., 50, 2004, 1623-1626.

[17] Chien-Hou Wu - J.L. Creek - Kang-Shi Wang - R.M. Carlson - S. Cheung - P.J. Shuler - Yongehun Tang, Measurements of wax deposition in paraffin solutions. Proc. Meeting Wax Thermodynamic and Deposition, New Orleans 2002.