The dependence of viscosity η on shear rate γ, ranged from lower Newtonian to upper Newtonian flow regions has been measured for solutions of a narrow distribution poly-styrene (M
w=3.92×10
5, M
w/M
n=1.10) in diethyl phthalate at 30.0°C. Plots of (η-η
fric)/(η
o-η
frie) versus
fγτ
R(η
o-ηfrie)/2η
o are accordant with the Graessley theoretical curve for the fluid of narrow distribution polymer, where η
o is the zero shear viscosity, η
fric is a frictional viscosity parameter nearly independent of shear rate, and τ
R=6η
oM/π
2cRT. f is a shift factor which is 1 for the solutions of concentrations
c from 0.562 to 0.0603g/cm3, and decreases with decreasing concentration below 0.0330g/cm3.
Results show that the steady shear viscosity consists of the shear dependent entanglement viscosity η
ent and the shear independent frictional viscosity η
fric and that the upper Newtonian behavior appears when η
ent becomes smaller than η
fric with increasing shear rate. A calculation of fractional reduction in the entanglement density under the existing shear condition shows that there remain residual entanglements even in the region of upper Newtonian flow.
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