A numerical method to simulate fibre suspensions in shear how is repor
ted, which takes into account short range interaction via lubrication
forces and long range interaction via slender body approximation, toge
ther with an appropriate Ewald summation technique. The numerical resu
lts are averaged to produce macroscopic properties of the suspension,
including the Folgar-Tucker diffusion constant, the structure function
s, and the reduced viscosity. In the semi-concentrated to concentrated
regime, the fibres no longer follow Jeffery's orbits, they align most
ly with the shear direction. Numerical data on the diffusivity constan
t, the structure functions, and the reduced viscosity agree reasonably
well with available experimental data. (C) 1998 Elsevier Science B.V.