Hydrodynamic Interaction Effects in Rigid Dumbbell Suspensions. I. Kinetic Theory

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  • R. B. Bird
    Chemical Engineering Department and Rheology Research Center, University of Wisconsin, Madison, Wisconsin 53706
  • H. R. Warner
    Chemical Engineering Department and Rheology Research Center, University of Wisconsin, Madison, Wisconsin 53706

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<jats:p>A macromolecular solution is represented by the simple model of rigid dumbbells suspended in a Newtonian fluid with Brownian motion included; hydrodynamic interaction is taken into account. The expressions for the “diffusion equation” and the stress tensor are given. Example results using the equations for the rigid dumbbell suspension modified to include the hydrodynamic interaction effect are obtained for two flows: steady shearing flow and small-amplitude oscillatory motion.</jats:p>

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