The motion of fibres in turbulent flow

JAMES A. OLSON; RICHARD J. KEREKES

doi:10.1017/S0022112098002973

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Equations of mean and fluctuating velocities in rotation and translation have been derived for rigid thin inertialess fibres moving in a turbulent fluid. The derived equations for mean motion are general to fluid velocities that vary nonlinearly along the length of the fibre. From the equations of fluctuating fibre velocity, rotational and translational dispersion coefficients were derived. The resulting dispersion coefficients were shown to decrease as the ratio of fibre length to Lagrangian integral length scale of the turbulence increased.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Olson, James A. 2001. The motion of fibres in turbulent flow, stochastic simulation of isotropic homogeneous turbulence. International Journal of Multiphase Flow, Vol. 27, Issue. 12, p. 2083.

Perona, P Conti, R and Sordo, S 2002. Influence of turbulent motion on structural degradation of fruit purees. Journal of Food Engineering, Vol. 52, Issue. 4, p. 397.

Lin, Jianzhong Shi, Xing and Yu, Zhaosheng 2003. The motion of fibers in an evolving mixing layer. International Journal of Multiphase Flow, Vol. 29, Issue. 8, p. 1355.

Jianzhong, Lin Weifeng, Zhang and Zhaosheng, Yu 2004. Numerical research on the orientation distribution of fibers immersed in laminar and turbulent pipe flows. Journal of Aerosol Science, Vol. 35, Issue. 1, p. 63.

Olson, James A. Frigaard, Ian Chan, Candice and Hämäläinen, Jari P. 2004. Modeling a turbulent fibre suspension flowing in a planar contraction: The one-dimensional headbox. International Journal of Multiphase Flow, Vol. 30, Issue. 1, p. 51.

Lo Iacono, G. Tucker, P.G. and Reynolds, A.M. 2005. Predictions for particle deposition from LES of ribbed channel flow. International Journal of Heat and Fluid Flow, Vol. 26, Issue. 4, p. 558.

Jian-Zhong, Lin Ke, Sun and Jiang, Lin 2005. Distribution of Orientations in Fibre Suspension Flowing in a Turbulent Boundary Layer. Chinese Physics Letters, Vol. 22, Issue. 12, p. 3111.

Lin, Jianzhong Zhang, Lingxin and Zhang, Weifeng 2006. Rheological behavior of fiber suspensions in a turbulent channel flow. Journal of Colloid and Interface Science, Vol. 296, Issue. 2, p. 721.

Mäkinen, Raino A. E. and Hämäläinen, Jari 2006. Optimal control of a turbulent fibre suspension flowing in a planar contraction. Communications in Numerical Methods in Engineering, Vol. 22, Issue. 6, p. 567.

Parsheh, Mehran Brown, Matthew L. and Aidun, Cyrus K. 2006. Investigation of closure approximations for fiber orientation distribution in contracting turbulent flow. Journal of Non-Newtonian Fluid Mechanics, Vol. 136, Issue. 1, p. 38.

Parsheh, M. Brown, M.L. and Aidun, C.K. 2006. Variation of fiber orientation in turbulent flow inside a planar contraction with different shapes. International Journal of Multiphase Flow, Vol. 32, Issue. 12, p. 1354.

Marheineke, Nicole and Wegener, Raimund 2006. Fiber Dynamics in Turbulent Flows: General Modeling Framework. SIAM Journal on Applied Mathematics, Vol. 66, Issue. 5, p. 1703.

Lingxin, Zhang Jianzhong, Lin and Weifeng, Zhang 2006. Theoretical model of particle orientation distribution function in a cylindrical particle suspension subject to turbulent shear flow*. Progress in Natural Science, Vol. 16, Issue. 1, p. 16.

Lin, J.Z. Gao, Z.Y. Zhou, K. and Chan, T.L. 2006. Mathematical modeling of turbulent fiber suspension and successive iteration solution in the channel flow. Applied Mathematical Modelling, Vol. 30, Issue. 9, p. 1010.

Marheineke, Nicole and Wegener, Raimund 2007. Fiber Dynamics in Turbulent Flows: Specific Taylor Drag. SIAM Journal on Applied Mathematics, Vol. 68, Issue. 1, p. 1.

Cui, Heping and Grace, John R. 2007. Flow of pulp fibre suspension and slurries: A review. International Journal of Multiphase Flow, Vol. 33, Issue. 9, p. 921.

Lin, Jianzhong Zhang, Shanliang and Olson, James A. 2007. Computing orientation distribution and rheology of turbulent fiber suspensions flowing through a contraction. Engineering Computations, Vol. 24, Issue. 1, p. 52.

Melander, O. and Rasmuson, A. 2007. A dispersion force approach to modelling the effect of lift forces on fibre dispersion. International Journal of Multiphase Flow, Vol. 33, Issue. 3, p. 333.

Gao, Zhen-yu Lin, Jian-zhong and Li, Jun 2007. Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension. Applied Mathematics and Mechanics, Vol. 28, Issue. 3, p. 289.

Zhou, Kun and Lin, Jianzhong 2008. Three dimensional fiber orientation distribution in two dimensional flows. Fibers and Polymers, Vol. 9, Issue. 1, p. 39.

Download full list

Article contents

The motion of fibres in turbulent flow

Abstract

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests