Calculation of the effect of polymer additive in a converging flow-Reference-Cited by-同舟云学术

Calculation of the effect of polymer additive in a converging flow

Published:1987-05 Issue: Volume:178 Page:423-440
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Ryskin G.

Abstract

The conical-channel flow of a dilute polymer solution is investigated theoretically. The stress field due to polymer additive is calculated using a new molecular model, based on the physical picture of the polymer molecules unravelling in strong flows and Batchelor's theory for the stress in a suspension of elongated particles. Good agreement is obtained with the experimental results of James & Saringer (1980). The absence of a significant polymer effect in a two-dimensional case (the wedge-channel flow), observed by the same authors (James & Saringer 1982a), is also explained. The fundamental differences between the proposed model and the elastic-dumbbell models are discussed.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference26 articles.

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2. James, D. F. & Saringer, J. H. 1980 Extensional flow of dilute polymer solutions.J. Fluid Mech. 97,655–671.

3. James, D. F. & Saringer, J. H. 1982b Flow of dilute polymer solutions through converging channels.J. Non-Newtonian Fluid Mech. 11,317–339.

4. Hinch, E. J. 1977 Mechanical models of dilute polymer solutions in strong flows.Phys. Fluids 20,S22–S30.

5. Hinch, E. J. 1974 Mechanical models of dilute polymer solutions for strong flows with large polymer deformations. In Polymeres et Lubrification, Colloq. Intl CNRS vol. 233, pp.241–247.

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