A model of dilute polymer solutions with hydrodynamic interaction and finite extensibility. I. Basic equations and series expansions |
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| Affiliation: | 1. Centro de Estudos de Fenómenos de Transporte, Departamento de Engenharia Mecânica, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n Porto, 4200-465, Portugal;2. Centro de Matemática - UM, Departamento de Matemática, Universidade do Minho Guimarães, 4800-058, Portugal;3. Institute for Polymers and Composites/I3N, University of Minho, Campus de Azurém Guimarães, 4800-058, Portugal;4. Departamento de Engenharia Mecânica, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s/n Porto, 4200-465, Portugal;5. Universidade Estadual Paulista (Unesp), Instituto de Ciência e Tecnologia, Sorocaba, Brasil |
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| Abstract: | A bead-spring chain model is used to describe dilute polymer solutions. Two important effects, the hydrodynamic interaction between the beads of a single chain and the finite extensibility of the springs connecting the beads, are treated in a self-consistently averaged form. For the resulting model, a rheological equation of state, a third-order retarded-motion expansion, and a second-order codeformational memory-integral expansion are derived. Furthermore, the parameters characterizing the model and the limit of infinitely long chains are discussed in great detail. |
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