Stochastic simulation of sedimentation

Advances in Fluid Mechanics

Volumn , Issue , 2000, Pages 663-672

  Tory, E M ^a   Ford, R A ^a  

^a MOUNT ALLISON UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; MARKOV PROCESSES; MATHEMATICAL MODELS; NEWTONIAN FLOW; RUNGE KUTTA METHODS; STATISTICAL METHODS; SUSPENSIONS (FLUIDS); VISCOUS FLOW;

AUTOCORRELATION; MARKOV MODEL; STATISTICAL PREDICTIONS;

SEDIMENTATION;

EID: 0002837453     PISSN: 1353808X     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Conference Paper

References (18)

1. Kynch, G.J. A theory of sedimentation. Transactions of the Faraday Society 48, pp. 166-176, 1952.
2. Tory, E.M., Kamel, M.T. & Chan Man Fong, C.F. Sedimentation is container-size dependent. Powder Technology 73, pp. 219-238, 1992.
3. Tory, E.M. & Hesse, C.H. Theoretical and experimental evidence for a Markov model for sedimentation (Chapter 8). Sedimentation of Small Particles in a Viscous Fluid, ed. E.M. Tory, Computational Mechanics Publications: Southampton and Boston, pp. 241-281, 1996.
4. Tory, E.M. & Pickard, D.K. A three-parameter Markov model for sedimentation. Canadian Journal of Chemical Engineering 55, pp. 655-665, 1977.
5. Pickard, D.K. & Tory, E.M. A Markov model for sedimentation: Fundamental issues and insights. Advances in the Statistical Sciences, Vol. IV, Stochastic Hydrology, eds. I.B. MacNeill & G.J. Umphrey, D. Reidel: Dordrecht, pp. 1-25, 1987.
6. Pickard, D.K., Tory, E.M., &Tuckman, B.A. A three-parameter Markov model for sedimentation II. Simulation of transit times and comparison with experimental results. Powder Technology 49, pp. 227-240, 1987.
7. Tory, E.M., Bargiel, M. & Honeycutt, R.L. A three-parameter Markov model for sedimentation III. A stochastic Runge-Kutta method for computing first-passage times. Powder Technology 80, pp. 133-146, 1994.
8. Hesse, C.H. & Tory, E.M. The stochastics of sedimentation (Chapter 7). Sedimentation of Small Particles in a Viscous Fluid, ed. E.M. Tory, Computational Mechanics Publications: Southampton and Boston, pp. 199-239, 1996.
9. Bustos, M.C., Concha, F., Bürger, R. & Tory, E.M. Sedimentation and Thickening. Phenomenological Foundation and Mathematical Theory, Kluwer: Dordrecht, pp. 111-148, 1999.
10. Bürger, R. & Tory, E.M. On upper rarefaction waves in batch settling. Powder Technology 108, 74-87, 2000.
11. Verhoeven, J. Prediction of batch settling behaviour, B. Eng. thesis, McMaster University, 1963.
12. Richardson, J.F. & Zaki, W.N. Sedimentation and fluidization. Transactions of the Institution of Chemical Engineers 32, pp. 35-53, 1954.
13. Segre, P.N., Herbolzheimer, E. & Chaikin, P.M. Long-range correlation in sedimentation. Physical Review Letters 79, pp. 2574-2577, 1997.
14. Honeycutt, R.L. Stochastic Runge-Kutta algorithms. I. White noise. Physical Review A 45, pp. 600-603, 1992.
15. Honeycutt, R.L. Higher order algorithms for the numerical integration of stochastic differential equations, Ph. D. thesis, Georgia Institute of Technology, 1990.
16. Davis, R.H. Hydrodynamic diffusion of suspended particles: a symposium. Journal of Fluid Mechanics 310, pp. 325-335, 1996.
17. Tory, E.M. and Pickard. D.K. Extensions and refinements of a Markov model for sedimentation. Journal of Mathematical Analysis and Applications 86, pp. 442-470, 1982.
18. Ham, J.M. & Homsy, G.M. Hindered settling and hydrodynamic dispersion in quiescent sedimenting suspensions. International Journal of Multiphase Flow 14, pp. 533-546, 1988.