Mathematical modeling of turbulent fiber suspension and successive iteration solution in the channel flow

J. Z. Lin, Z. Y. Gao, K. Zhou, Tat Leung Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

36 Citations (Scopus)

Abstract

The modified Reynolds mean motion equation of turbulent fiber suspension and the equation of probability distribution function for mean fiber orientation are firstly derived. A new successive iteration method is developed to calculate the mean orientation distribution of fiber, and the mean and fluctuation-correlated quantities of suspension in a turbulent channel flow. The derived equations and successive iteration method are verified by comparing the computational results with the experimental ones. The obtained results show that the flow rate of the fiber suspension is large under the same pressure drop in comparison with the rate of Newtonian fluid in the absence of fiber suspension. Fibers play a significant role in the drag reduction. The amount of drag reduction augments with increasing of the fiber mass concentration. The relative turbulent intensity and the Reynolds stress in the fiber suspension are smaller than those in the Newtonian flow, which illustrates that the fibers have an effect on suppressing the turbulence. The amount of suppression is also directly proportional to the fiber mass concentration.
Original languageEnglish
Pages (from-to)1010-1020
Number of pages11
JournalApplied Mathematical Modelling
Volume30
Issue number9
DOIs
Publication statusPublished - 1 Sep 2006

Keywords

  • Approach of solution
  • Fiber suspension
  • Mathematical modeling
  • Turbulent channel flow

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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