Abstract
A numerical method for computing motions of large numbers of particles (particle mover) in flows of solid-liquid (viscoelastic) mixtures was developed. In the method the fully coupled motions of liquid and solid are solved using a finite element technique, and solid particles move under the action of the hydrodynamic forces and moments exerted by the suspending fluid. The developed package is able to simulate the motion of particles in several popular models of non-Newtonian viscoelastic fluids.
This package was used to study the mechanisms of chaining of sedimenting particles in a viscoelastic fluid and detachment of the particles from the chain.
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References
Anderson, T. B. & Jackson, R. (1967). A fluid mechanical description of fluidized beds: Equations of motion. Ind. Engng. Chem. Fundam. 6, 527–539.
Drew, D. (1983). Mathematical modeling of two-phase flow. Ann. Rev. Fluid Mech. 15, 261–291.
Feng, J., Hu, H.H. & Joseph, D.D.,(1994a). Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 1: sedimentation, J. Fluid Mech. 261, 95–134
Feng, J., Hu, H.H. & Joseph, D.D.,(1994b). Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2: Couette and Poiseuille flows J. Fluid Mech. 277, 271–301.
Hu, H.H., “Motion of a circular cylinder in a viscous liquid between parallel plates”, Theoretical and Computational Fluid Dynamics. (1995), in print.
Hu, H. H., Joseph, D. D. & Crochet, M. J.(1992). Direct simulation of fluid particle motions. Theoret. & Comput. Fluid Dyn. 3, 285–306.
Hu, H.H., (1996). Direct simulation of flows of solid-liquid mixtures, Int. J. Multiphase Flow 22, 335–352.
Huang, P.Y., Feng, J. & Joseph, D.D.(1994). The turning couples on an elliptic particle settling in a vertical channel, J. Fluid Mech. 271, 1–16.
Ishii, M. (1975) Thermo-Fluid Dynamic Theory of Two-Phase Flows. Eyrolles, Paris.
Joseph, D.D. & Lundgren, T.S.,(1990). Ensemble averaged and mixture theory equations for incompressible fluid particle suspensions. Int. J. Multiphase Flow 16, 35–42.
Joseph, D.D., (1996). Flow induced microstructure in Newtonian and Viscoelastic fluids, Keynote presentation at the 5th World Congress of Chemical Engineering, Particle Technology Track, Second Particle Technology Forum, San Diego.
Liu, Y.J. and D.D. Joseph, (1993). Sedimentation of particles in polymer solutions, J. Fluid Mech. 255, 565–595.
Zhang, D.Z., & Prosperetti, A., (1994). Averaged equations for inviscid disperse two-phase flow, J. Fluid Mech. 267, 185–219.
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© 1998 Springer Science+Business Media Dordrecht
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Hu, H.H. (1998). Numerical Simulation of Particle Motion in Viscoelastic Fluids. In: Ramkissoon, H. (eds) IUTAM Symposium on Lubricated Transport of Viscous Materials. Fluid Mechanics and its Applications, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5248-8_10
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DOI: https://doi.org/10.1007/978-94-011-5248-8_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6208-4
Online ISBN: 978-94-011-5248-8
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