The molecular-weight dependence of the intrinsic viscosity and the dif
fusion coefficient of polymers in dilute solutions can be obtained by
assuming the polymer chains to be rigid spheres of radius equal to the
ir radius of gyration. This observation has been interpreted as implyi
ng that the solvent within a polymer coil is dragged along with the co
il, and that the coil with the occluded solvent acts like a hydrodynam
ic entity. In order to question this very common interpretation, we ca
lculate the velocity field in nondraining polymer chains. Our explicit
results are at odds with the simple picture of nondraining polymer co
ils acting like rigid spheres.