By calculating radii of gyration of a Gaussian polymer chain in simple shear flow, we study the deformed shape of an isolated macromolecule. To order ε≡4-d (d=spatial dimensionality) and to the lowest nontrivial order in the shear rate, we consider the effect of hydrodynamic interactions on the flow induced anisotropy of the radii of gyration with respect to directions specified by the flow. We predict no change in projections of polymer shape along directions perpendicular to the flow direction, in agreement with experiment. Our results also explain the negative sign and the smallness of the second normal stress.
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Shi‐Qing Wang (1990) studied this question.
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