The mixing quality
of polymer melts in the mixing section
of a
single-screw extruder and an injection molding machine has considerable
effects on the properties of the molded products. Therefore, the study
of the flow field of polymer melts in the mixing section is of great
importance. The lattice Boltzmann method (LBM) exhibits unique advantages
in simulating non-Newtonian fluids. Many researchers have used LBM
to study the flow of medium- and low-viscosity fluids. In their studies,
the Reynolds number of fluid flows is generally moderate. However,
polymer melts are typical high-viscosity fluids, and their flow Reynolds
number is generally very small. The single-relaxation-time lattice
Boltzmann method (SRT–LBM) has been used previously to study
the flow field of power law fluids in the mixing section. Herein,
the flow field of high-viscosity generalized Newtonian fluids in the
mixing section of a single-screw extruder is studied using SRT–LBM,
the two-relaxation-time lattice Boltzmann method (TRT–LBM),
and the multiple-relaxation-time lattice Boltzmann method (MRT–LBM).
Through comparison, TRT–LBM has been found to exhibit obvious
advantages regarding stability, calculation accuracy, calculation
efficiency, and selection of simulation parameters. The TRT–LBM
is more suitable for studying high-viscosity generalized Newtonian
fluids than SRT–LBM and MRT–LBM. SRT–LBM has
low computational efficiency when simulating high-viscosity generalized
Newtonian fluids, and instability is easily caused when the fluid
has a yield stress. For MRT–LBM, only by studying the relaxation
parameters can its advantages be fully utilized. However, optimizing
the accuracy and stability of the MRT–LBM via parameter research
and linear stability analysis is difficult. For non-Newtonian fluids,
it is difficult to optimize the relaxation parameters to make the
MRT–LBM more stable and accurate than the TRT–LBM. It
is difficult for the MRT–LBM to realize its potential when
simulating high-viscosity generalized Newtonian fluids. In addition,
we studied the flow pattern in the cross section of the screw channel
and compared it to the results reported in previous studies.