Numerical simulation of weakly compressible Bingham flows: The restart of pipeline flows of waxy crude oils

Journal of Non-Newtonian Fluid Mechanics

Volumn 136, Issue 2-3, 2006, Pages 93-105

  Vinay, Guillaume ^a   Wachs, Anthony ^a   Agassant, Jean François ^b  

^a IFP ENERGIES NOUVELLES   (France)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

Augmented Lagrangian method; Bingham model; Compressible flow; Finite volume method; Lagrange multipliers; Pipe geometry; TVD scheme; Viscoplastic fluid; Waxy crude oil

Indexed keywords

COMPUTER SIMULATION; CRUDE PETROLEUM; FINITE VOLUME METHOD; ISOTHERMS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PIPE FLOW; VISCOPLASTICITY;

AUGMENTED LAGRANGIAN METHOD; BINGHAM MODEL; PIPE GEOMETRY; WAXY CRUDE OIL;

COMPRESSIBLE FLOW;

COMPRESSIBLE FLOW; COMPUTER SIMULATION; CRUDE PETROLEUM; FINITE VOLUME METHOD; ISOTHERMS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PIPE FLOW; VISCOPLASTICITY;

EID: 33744792934     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.03.003     Document Type: Article

References (21)

1. I. Hénaut, Etude des bruts paraffiniques, Technical report, Institut Français du Pétrole, 2002.
2. M. Houska, Engineering aspects of the rheology of thixotropic liquids, PhD thesis, Faculty of Mechanical Engineering, Czech Technical University of Prague, 1981.
3. Cawkwell M.G., and Charles M.E. An improved model for start-up of pipelines containing gelled crude oil. J. Pipelines 7 (1987) 41-52
4. Cawkwell M.G., and Charles M.E. Characterization of Canadian artic thixotropic gelled crude oils utilizing an eight-parameter model. J. Pipelines 7 (1989) 251-264
5. Sestak J., Charles M.E., Cawkwell M.G., and Houska M. Start-up of gelled crude oil pipelines. J. Pipelines 6 (1987) 15-24
6. F. Golay, P. Helluy, Numerical simulation of a viscous compressible fluid based on a splitting method, Séminaire de mathématiques de l'Université de Ferrare, Ferrare, 1998.
7. L. Silva, T. Coupez, A unified model of the filling and post-filling stages in 3D injection moulding simulation, in: Proceedings of the PPS-18, Guimarães, 2002.
8. Keshtiban I.J., Belblidia P., and Webster M.F. Numerical simulation of compressible viscoelastic liquids. J. Non-Newtonian Fluid Mech. 122 (2004) 131-146
9. Keshtiban I.J., Belblidia P., and Webster M.F. Computation of incompressible and weakly-compressible viscoelastic liquids flow: finite element/volume schemes. J. Non-Newtonian Fluid Mech. 126 (2005) 123-143
10. Davidson M.R., Nguyen Q.D., Chang C., and Ronningsen H.P. A model for restart of a pipeline with compressible gelled waxy crude oil. J. Non-Newtonian Fluid Mech. 123 (2004) 269-280
11. Yee H.C., Warming R.F., and Harten A. Implicit total variation diminishing (TVD) schemes for steady-state calculations. J. Comput. Phys. 57 (1985) 327-360
12. Wang Y., and Hutter K. Comparisons of numerical methods with respect to convectively dominated problems. Int. J. Numerical Meth. Fluids 37 (2001) 721-745
13. Papanastasiou T.C. Flow of materials with yield. J. Rheol. 31 (1987) 385-404
14. Abdali S.S., Mitsoulis E., and Markatos M.C. Entry and exit flows of Bingham fluids. J. Rheol. 36 (1992) 389-407
15. Mitsoulis E., Abdali S.S., and Markatos N.C. Flow simulation of Herschel-Bulkley fluids through extrusion dies. Can. J. Chem. Eng. 71 (1993) 147-160
16. Duvaut G., and Lions J.L. Inequalities in Mechanics and Physics (1976), Springer-Verlag, Berlin
17. Fortin M., and Glowinski R. Méthodes de Lagrangien augmenté. Application à la résolution numérique de problèmes aux limites (1982), Dunod-Bordas
18. Glowinski R., and Le Tallec P. Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. SIAM Stud. Appl. Math. 9 (1989)
19. Glowinski R. In: Ciarlet P.G., and Lions J.L. (Eds). Numerical Methods for Fluids. Part 3 (2003), North-Holland, Elsevier
20. Vinay G., Wachs A., and Agassant J.F. Numerical simulation of non-isothermal viscoplastic waxy crude oil flows. J. Non-Newtonian Fluid Mech. 128 (2005) 144-162
21. Verschuur E., Verheul M., and Den Hartog A.P. Pilot-scale studies on restarting pipelines containing gelled waxy crudes. J. Inst. Petrol. 57 555 (1971) 139-146