A NEW METHOD FOR FIBER ORIENTATION DISTRIBUTION IN A PLANAR CONTRACTING TURBULENT FLOW

Abstract

A new Euler model is proposed to predict fiber orientation distribution at high eynolds number in a dilute planar contraction. The model mainly accounts for he evolution of mean velocity and turbulence-induced rotational diffusion coefficient along the contraction. It is shown that the new model, as the function of local turbulent dissipation rate, fiber length, and fluid viscosity, can reflect the subtle change of fiber orientation accurately.

Dates

  • Submission Date2012-08-01
  • Revision Date2012-09-06
  • Acceptance Date2012-09-12

DOI Reference

10.2298/TSCI1205367Y

References

  1. Lin, J. Z., Shi, X., Yu, Z. S., The Motion of Fibers in an Evolving Mixing Layer, International Journal of Multiphase flow, 29 (2003), 8, pp. 1355-1372
  2. Lin, J. Z., Li, J., Zhang, W. F., The Forces Exerted on a Cylindrical Particle in the Elongational Shear Flows, Inter. Journal of Nonlinear Science and Numerical Simulation, 5 (2004), 1, pp. 9-16
  3. You, Z. J., Lin, J. Z., Yu, Z. S., Hydrodynamic Instability of Fiber Suspensions in Channel Flows, Fluid Dynamics Research, 34 (2004), 4, pp. 251-271
  4. Qi, D. W., A New Method for Direct Simulations of Flexible Filament Suspensions in Non-zero Reynolds Number flows, Inter. Journal for Numerical Methods in Fluids, 54 (2007), 1, pp. 103-118
  5. Lin, J. Z., Shi, X., You, Z. J., Effects of the Aspect Ratio on the Sedimentation of a Fiber in Newtonian Fluids, Journal of Aerosol Science, 34 (2003), 7, pp. 909-921
  6. Shi, X., Lin, J. Z., Yu, Z. S., Discontinuous Galerkin Spectral Element Lattice Boltzmann Method on Triangular Element, Inter. Journal for Numerical Methods in Fluids, 42 (2003), 11, pp. 1249-1261
  7. Jeffery, G. B., The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid, Proceedings of the Royal Society of London, Series A, 102 (1922), 7, pp. 161-179
  8. Goldsmith, H. L., Mason, S. G., The Micro Rheology of Dispersions, in: Rheology: Theory and Applications, Vol. IV (Ed. F. R. Eirich), Oxford University Press, Academic, Oxford, UK, 1967
  9. Pittman, J. F. T., Kasiri, N., The Motion of Rigid Rod-like Particles Suspended in Non-homogeneous Flow Fields, International Journal of Multiphase flow, 18 (1992), pp. 1077-1091
  10. Tangsaghasaksri, W., About Sorting of Fiber Suspensions Using Sloted Sieves (in German), Ph. D. thesis, University of Darmstad, Darmstad, Germany, 1994
  11. Olson, J. A., Analytic Estimate of Fiber Orientation in Ahead Box Flow, Nordic Pulp Paper Res. J., 17 (2001), 6, pp. 302-306
  12. Olson, J. A., The Motion of Fibers in Turbulent Flow, Stochastic Simulation of Isotropic Homogeneous Turbulence, International Journal of Multiphase Flow, 27 (2001), 12, pp. 2083-2103
  13. Lin, J. Z., Zhang, W. F., Yu, Z. S., Numerical Research on the Orientation Distribution of Fibers Immersed in Laminar and Turbulent Pipe Flows, Journal of Aerosol Science, 35 (2004), 12, pp. 63-82
  14. Lin, J. Z., Zhang, L. X., Zhang, W. F., Rheological Behavior of Fiber Suspensions in a Turbulent Channel Flow, Journal of Colloid and Interface Science, 296 (2006), 2, pp. 721-728
  15. Lin, J. Z., Gao, Z. Y., Zhou, K., Chan, T. L., Mathematical Modeling of Turbulent Fiber Suspension and Successive Iteration Solution in the Channel Flow, Applied Mathematical Modeling, 30 (2006), 9, pp. 1010-1020
  16. Lin, J. Z., Zhang, S. L., Olson, J. A., Effect of Fibers on the Flow Property of Turbulent Fiber Suspensions in a Contraction, Fibers and Polymers, 8 (2007), 1, pp. 60-65
  17. Doi, M., Chen, D., Simulation of Aggregating Colloids in Shear Flow, J. Chem. Phys., 90 (1989), 10, pp. 5271-5279
  18. Shen, S. H., Lin, J. Z., A New Expression for the Velocity Profile in the Turbulent Pipe Flows of Fiber Suspension, Fibers and Polymers, 11 (2010), 3, pp. 474-480
  19. Parsheh, M., Brown, M., Aidun, C., On the Orientation of Stiff Fibers Suspended in Turbulent Flow in a Planar Contraction, J. Fluid Mech., 545 (2005), 12, pp. 245-269
  20. Parsheh, M., Brown, M., Aidun, C., Variation of Fiber Orientation in Turbulent Flow Inside a Planar Contraction with Different Shapes, Inter. J. of Multiphase Flow, 32 (2006), 12, pp. 1354-1369
  21. Marko, H., Anders, D., Study of the Rotational Diffusivity Coefficient of Fibers in Planar Contracting Flows with Varying Turbulence Levels, Int. J. of Multiphase Flow, 34 (2008), 9, pp. 894-903
Volume 16, Issue 5, Pages1367 -1371