A mathematical model is proposed which treats a hypothetical polymer molecule as a porous sphere. Fluid flow within the sphere obeys Darcy's law while the creeping motion equations are used outside the sphere. Equations are derived relating the permeability and radius of the sphere to hydrodynamic properties of dilute solutions of the polymer. In checking against experimental data, it is found that the model, despite its simplicity, may be useful in explaining the hydrodynamic behavior of molecules which are highly branched or crosslinked.
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Truman L. Seely (1967) studied this question.
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