Research on the orientation distribution of fibers immersed in a pipe flow

LIN Jian-zhong(ÁÖ½¨ÖÒ)(Department of Mechanics, Zhejiang University, Hangzhou 310027, China)  
ZHANG Wei-feng(ÕÅÎÀ·å)(Department of Mechanics, Zhejiang University, Hangzhou 310027, China)  
WANG Ye-long(ÍõÒ¶Áú)(Department of Mechanics, Zhejiang University, Hangzhou 310027, China)  

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 increasing Re. For low Re number, the axial orientation distributions are broad with almost no preferred orientations. For high Re number, the axial distribution becomes narrow, with sharp maxima. The mean values of the longitudinal orientation depend strongly on the Re number. The computed results are in qualitative agreement with relevant experimental results.
Keywords:Fiber suspension, Orientation distribution, Computation, Pipe flow

References:

[1]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.
[2]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
[3]Chiba, K., Nakamura, K., 1997. Numerical solution of fiber orientation in a backward-facing step channel. Nihon Reoro. Ji. Gakk 25(2):79-87
[4]Cox, R.G., 1970. Long slender bodies in a viscous fluid. Part I. J. Fluid Mech., 44:792-805.
[5]Doesburg, J., Ivey, D.G., 2000. Microstructure and preferred orientation of Au-Sn alloy plated deposits. Materials Science & Engineering., 78(1):44-53
[6]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
[7]Loewenberg, M., 1993. Stokes resistance, added mass, and Basset force for arbitrarily oriented, finite-length cylinders. Phys. Fluids, A5(3):725-734.
[8]Pozrikidis, C. , 1988. A study of linearized oscillatory flow past particles by the boundary-integral method. J. Fluid Mech., 202:17-28.
[9]Pozrikidis, C. , 1989. A singularity method for unsteady linearized flow. Phys. Fluids, A1(9):1508-1513.
[10]Spurny, K.S., Gentry, J.W., Stober, W. , 1978. Fundamentals of Aerosol Science(Ed. by Shaw, D.T.), Chap. 5. John Wiley, New York.
[11]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

Manuscript Received:2001 July 13

Manuscript Revised:2001 Oct. 30

Published:2002 Dec. 1