Sj. Chapman et al., EXTRUSION OF POWER-LAW SHEAR-THINNING FLUIDS WITH SMALL EXPONENT, International journal of non-linear mechanics, 32(1), 1997, pp. 187-199
The slow flow of power-law shear-thinning fluids during extrusion is c
onsidered for materials where the exponent is asymptotically close to
zero. Such flows arise in a number of practical industrial problems an
d give rise to some unexpected effects. Three different regions of ext
rusion flow are examined. First, some simple results for unidirectiona
l flow in a one-dimensional channel are considered. Secondly, the regi
on near to the die exit is then considered and it is noted that an exp
onential asymptotic approach may be used to completely solve the probl
em of slow flow in a wedge with a sink at the vertex. Finally, the ram
region of the extruder is considered and a detailed analysis is given
of how in a corner driven by the movement of one of the walls. Copyri
ght (C) 1996 Elsevier Science Ltd.