Not sure about the pure polymer viscosity, but here are some data on the polymer solutions.
The viscosity of even dilute polymer solutions is usually far larger than just the viscosity of the background solvent, due to the large differences in size between the polymer and solvent molecules. The contribution of polymer to overall viscosity is measured by dimensionless number: intrinsic viscosity.
From wikipedia's Mark–Houwink equation
The 'Mark–Houwink equation', also known as the 'Mark-Houwink-Sakurada equation' or the 'Kuhn-Mark-Houwink-Sakurada equation' gives a relation between intrinsic viscosity $[\eta]$ and molecular weight $M$
$$ [\eta]=KM^a$$
From this equation the molecular weight of a polymer can be determined from data on the intrinsic viscosity and vice versa.
The values of the Mark–Houwink parameters, $a$ and $K$, depend on the particular polymer-solvent system. For solvents, a value of $a=0.5$ is indicative of a theta solvent. A value of $a=0.8$ is typical for good solvents. For most flexible polymers, $0.5\leq a\leq 0.8$. For semi-flexible polymers, $a\ge 0.8$. For polymers with an absolute rigid rod, such as Tobacco mosaic virus, $a=2.0$.
The theoretical analysis which reproduces this equation was done by Flory and Fox. Here we read
One of the most successful models comes from Flory and Fox who modeled the random coil as a series of “beads on a string” or a “jointed chain”.
The string is flexible, but beads are rigid. Flory and Fox considered that hydrodynamic friction causes the solvent near the center of the molecule to move with the same velocity as the center of mass, but solvent near the edges is free to flow into and out of the molecule. This led them to a relationship between the intrinsic viscosity and the mean square radius of the polymer chain in a theta solvent. Their model is:
$$
[\eta] = \Phi_0 \langle r^2 \rangle^{3/2} / M
$$
where $\langle r^2 \rangle$ is the mean squared end-to-end distance of the chain, and
$\Phi$ is a universal constant having the value $2.87\times 10^{23}$. In practice, this
constant varies somewhat from polymer to polymer with an experimental
value closer to $2.5\times 10^{23}$.
The original work by Flory and Fox:
Flory, P. J., and T. G. Fox. "Treatment of intrinsic viscosities." Journal of the American Chemical Society 73.5 (1951): 1904-1908. DOI:10.1021/ja01149a002.
