Mathematical model and numerical simulation of the settling of flocculated suspensions

International Journal of Multiphase Flow

Volumn 24, Issue 6, 1998, Pages 1005-1023

  Burger R ^a   Concha, F ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b UNIVERSITY OF CONCEPCIÓN   (Chile)

Author keywords

Continuous thickening; Degenerate parabolic quasilinear partial differential equation; Flocculated suspension; Sedimentation

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; INITIAL VALUE PROBLEMS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; SEDIMENTATION; SEPARATION;

CONTINUOUS THICKENING; DEGENERATE PARABOLIC QUASILINEAR PARTIAL DIFFERENTIAL EQUATION; FLOCCULATED SUSPENSIONS;

SUSPENSIONS (FLUIDS);

FLOCCULATION; LIQUID-SOLID SEPARATION; MATHEMATICAL MODELING; SUSPENDED LOAD;

EID: 0032173184     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-9322(98)00026-3     Document Type: Article

References (19)

1. Becker, R. 1982. Continuous thickening, design and simulation of thickeners. Habilitación professional. University of Concepción.
2. Been K., Sills G.C. Self-weight consolidation of soft soils: an experimental and theoretical study. Géotechnique. 31:1981;519-535.
3. Bürger, R., 1996. Ein Anfangs-Randwertproblem einer quasilinearen parabolischen entarteten Gleichung in der Theorie der Sedimentation mit Kompression. Doctoral thesis, University of Stuttgart.
4. Bürger R., Wendland W.L. Existence, uniqueness and stability of generalized solutions of an initial-boundary value problem for a degenerating quasilinear parabolic equation. J. Math. Anal. Appl. 218:1998;207-239.
5. Bürger, R., Wendland, W.L. 1998b. Entropy boundary and jump conditions in the theory of sedimentation with compression. Math. Meth. Appl. Sci. 21, 865-882.
6. Bustos, M.C., Concha, F., 1996. Kynch theory of sedimentation. In: E. Tory (Ed.). Sedimentation of Small Particles in a Viscous Fluid. Computational Mechanics Publications, Southampton.
7. Bustos M.C., Concha F., Wendland W.L. Global weak solutions to the problem of continuous sedimentation of an ideal suspension. Math. Meth. Appl. Sci. 13:1990;1-22.
8. Bustos M.C., Paiva F., Wendland W.L. Control of continuous sedimentation of ideal suspensions as an initial and boundary value problem. Math. Meth. Appl. Sci. 12:1990;533-548.
9. Coe H.S., Clevenger G.H. Methods for determining the capacity of slimesettling tanks. Trans. AIME. 55:1916;356-385.
10. Concha, F., Barrientos, A., 1993. A critical review of thickener design methods. KONA no. 11, 79-104.
11. Concha, F., Bürger, R. 1998. Wave propagation phenomena in the theory of sedimentation. In: Toro, E. F., Clarke, J. F. (Eds) Numerical Methods for Wave Propagation Problems. Kluwer, Dordrecht, in print.
12. Concha, F., Bustos, M.C., Barrientos, A. 1996. Phenomenological theory of sedimentation. In: Tory, E. (Ed) Sedimentation of Small Particles in a Viscous Fluid. Computational Mechanics Publications, Southampton, pp. 51-96.
13. Kynch G.J. A theory of sedimentation. Trans. Farad. Soc. 48:1952;166-176.
14. Landman K.A., White L.R. Solid/liquid separation of flocculated suspensions. Adv. Colloid Interface Sci. 51:1994;175-246.
15. Mishler R.T. Settling slimes at the Tigre Mill. Eng. Mining J. 94:(14):1912;643-646.
16. Nessyahu H., Tadmor E. Non-oscillatory central differencing for hyperbolic conservation laws. J. Comp. Phys. 87:1990;408-463.
17. Richardson J.F., Zaki W.N. Sedimentation and fluidization I. Trans. Inst. Chem. Eng. (London). 32:1954;35-53.
18. Tory, E. 1996. Sedimentation of Small Particles in a Viscous Fluid. Computational Mechanics Publications, Southampton.
19. Whitaker S. Flow in porous media I: a theoretical derivation of Darcy's law. Transp. Porous Media. 1:1986;3-25.