Polymeric Solutions as Two-Fluid-Mixture Continua
| Autor: | P. N. Kaloni, C. F. Chan Man Fong, Daniel De Kee |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
Physics
Continuum (measurement) Generalized Maxwell model General Chemical Engineering Constitutive equation Mathematical analysis General Chemistry Industrial and Manufacturing Engineering symbols.namesake Nonlinear system Maxwell's equations symbols Boundary value problem Statistical physics Two fluid Pressure gradient |
| Zdroj: | Industrial & Engineering Chemistry Research. 36:3205-3210 |
| ISSN: | 1520-5045 0888-5885 |
| DOI: | 10.1021/ie960601s |
| Popis: | By considering polymeric solutions to be mixtures of two fluids and by applying standard continuum arguments, de Gennes, Doi, and Milner have developed equations to describe such solutions. In the present paper, the problem of the flow of a polymeric solution between two parallel plates under a pressure gradient is considered. A generalized Maxwell model constitutive equation is employed, and the boundary value problem is solved numerically. A number of simplifying assumptions are invoked, in order to solve the highly nonlinear coupled equations. In both steady- and transient-flow situations, migration of the polymer molecules from the wall toward the midplane is predicted. |
| Databáze: | OpenAIRE |
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