Premium
A new model of turbulent fibre suspension and its application in the pipe flow
Author(s) -
Yang Wei,
Shen Suhua,
Ku Xiaoke
Publication year - 2013
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.21695
Subject(s) - turbulence , mechanics , reynolds number , dissipation , turbulence kinetic energy , pipe flow , k epsilon turbulence model , kolmogorov microscales , kinetic energy , physics , flow (mathematics) , materials science , reynolds stress , thermodynamics , suspension (topology) , classical mechanics , k omega turbulence model , mathematics , homotopy , pure mathematics
A new model of turbulent fibre suspension in pipe flow is developed by deriving the equations of Reynolds averaged Navier‐Stokes, turbulence kinetic energy and turbulence dissipation rate with the additional term of the fibres, and the equation of probability distribution function for mean fibre orientation. The equations are solved numerically. The numerical mean velocity is in agreement with the experimental data. The effects of Reynolds number, fibre concentration, and fibre aspect‐ratio on the mean velocity, turbulent kinetic energy and turbulent dissipation rate are analysed. The results show that the effect of Reynolds number on the flow behaviour is insignificant. The turbulent kinetic energy and turbulent dissipation rate increase with an increasing fibre concentration and fibre aspect‐ratio. © 2012 Canadian Society for Chemical Engineering