A model of dilute polymer solutions with hydrodynamic interaction and finite extensibility. I: Basic equations and series expansions
type: Item
instance of: scholarly article
title: A model of dilute polymer solutions with hydrodynamic interaction and finite extensibility. I: Basic equations and series expansions
zbMATH Open document ID: 0636.76005
DOI: 10.1016/0377-0257(87)80005-8
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 4037409
zbMATH Keywords: bead-spring chain model
zbMATH Keywords: dilute polymer solutions
zbMATH Keywords: hydrodynamic interaction
zbMATH Keywords: rheological equation
zbMATH Keywords: third-order retarded-motion expansion
zbMATH Keywords: second-order codeformational memory-integral expansion
zbMATH Keywords: limit of infinitely long chains
author: Hans Christian Öttinger
MaRDI profile type: Publication
full work available at URL: 0377-0257(87)80005-8
OpenAlex ID: W2027405333
Wikidata QID: Q127343789
description: scientific article; zbMATH DE number 4037409