The flow of dilute polymer solutions in confined geometries: a consistent numerical approach |
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| Affiliation: | 1. Department of Biochemical Engineering, University College London, Bernard Katz, London WC1E 6BT, United Kingdom;2. Electrochemical Innovation Lab, Department of Chemical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom;3. Pall Biotech, 5 Harbourgate Business Park, Southampton Road, Portsmouth PO6 4BQ, United Kingdom |
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| Abstract: | Starting from rigorous expressions derived from phase space kinetic theory for dumbbell models of polymer solutions, a new numerical approach is presented. It enables one to solve the Langevin equations governing the motion of the dumbbells in a confined geometry consistently with the momentum balance equation. As an example, we discuss the flow of a polymer solution between two parallel shearing planes. For this purpose, we consider linear and nonlinear dumbbell models and investigate typical phenomena such as, for example, the slip effect. |
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