Abstract
The computed orientation distribution of fibers immersed in laminar pipe flows showed that the longitudinal distributions are wide for small Reynolds numbers and become narrower with increasingRe. For lowRe number, the axial orientation distributions are broad with almost no preferred orientations. For highRe number, the axial distribution becomes narrow, with sharp maxima. The mean values of the longitudinal orientation depend strongly on theRe number. The computed results are in qualitative agreement with relevant experimental results.
Similar content being viewed by others
References
Bernstein, O., Shapiro, M., 1994. Direct determination of the orientation distribution function of cylindrical particles immersed in laminar and turbulent shear flows.J. Aerosol Sci.,25(1): 113–136.
Burnell, E. E. de lange C. A., Gaemer, S., 2001. Pressure-induced change in orientation order of solutes in liquid crystals.Chemical physics letters.,337(4): 248–256
Chiba, K., Nakamura, K., 1997. Numerical solution of fiber orientation in a backward-facing step channel.Nihon Reoro. Ji. Gakk 25(2): 79–87.
Cox, R. G., 1970. Long slender bodies in a viscous fluid. Part I.J. Fluid Mech.,44: 792–805.
Doesburg, J., Ivey, D. G., 2000. Microstructure and preferred orientation of Au−Sn alloy plated deposits.Materials Science & Engineering.,78(1): 44–53
Ericsson, K. A., Toll, S., Manson, J. A. E., 1997. The two-way interaction between anisotropic flow and fiber orientation in squeeze flow.J. Rheol.,41(3): 491–511
Loewenberg, M., 1993. Stokes resistance, added mass, and Basset force for arbitrarily oriented, finite-length cylinders.Phys. Fluids, A5(3): 725–734.
Pozrikidis, C., 1988. A study of linearized oscillatory flow past particles by the boundary-integral method.J. Fluid Mech.,202:17–28.
Pozrikidis, C., 1989. A singularity method for unsteady linearized flow.Phys. Fluids, A1(9): 1508–1513.
Spurny, K. S., Gentry, J. W., Stober, W., 1978. Fundamentals of Aerosol Science (Ed. by Shaw, D. T.), Chap. 5. John Wiley, New York.
Zak, G., Park, C. B., Benhabib, B., 2001. Estimation of three-dimensional fiber-orientation distribution in short-fiber composites by a two-section method.Journal of composite materials,35(4): 316–330
Author information
Authors and Affiliations
Additional information
Project (No. 19925210) supported by the National Natural Science Foundation for Outstanding Youth of China
Rights and permissions
About this article
Cite this article
Jian-zhong, L., Wei-feng, Z. & Ye-long, W. Research on the orientation distribution of fibers immersed in a pipe flow. J. Zhejiang Univ. Sci. A 3, 501–506 (2002). https://doi.org/10.1631/jzus.2002.0501
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/jzus.2002.0501