Viscosity of Molten Branched Polymers and Their Concentrated Solutions

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Abstract
The viscosity of molten polymers and their concentrated solutions is investigated theoretically. Both linear and branched polymers are considered. Two methods are used, one being merely an extension of a previous computation for linear polymers. Essential agreement is found between the results of the two methods. It is found that the viscosity of a branched polymer ηb is related to the viscosity of a similar linear polymer of identical molecular weight by the equation ηb/ηl=g7/2 if the chains are highly entangled. For nonentangled chains the ratio is merely equal to g. The quantity g is the square of the ratio of the radius of gyration of the branched molecule to that of the linear molecule.

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