Molecular
theories for dynamics of entangled polymers are based
on both the number of Kuhn segments per entanglement N
e and the number of entanglements per chain N/N
e. Extensive studies have shown that,
for polymer chains in the solutions or melts, linear viscoelasticity
can be properly normalized, whereas the nonlinear extensional rheological
properties cannot be normalized when N/N
e is kept the same. The failure of the latter normalization
has been attributed to a difference in N
e. Nevertheless, nonlinear rheological studies are lacking for a suitable
model system with fixed N
e and N/N
e. In this study, we identify
poly(n-alkyl methacrylate)s with the number of carbons
per alkyl group below seven as a model system. We find that the degree
of the transient strain hardening during extensional flow strengthens
with increasing the size of the alkyl group even when N
e and N/N
e are kept the same, which is attributable to the weaker friction
reduction when the main backbones are more separated.