| Issue |
J. Phys. II France
Volume 5, Number 7, July 1995
|
|
|---|---|---|
| Page(s) | 1093 - 1103 | |
| DOI | https://doi.org/10.1051/jp2:1995226 | |
J. Phys. II France 5 (1995) 1093-1103
Extension and Compression of Grafted Polymer Layers in Strong Normal Flows
J.L. Harden1, 2 and M.E. Cates21 Cavendish Laboratory, Cambridge University Madingley Road, Cambridge CB3 0HE, UK
2 Department of Physics and Astronomy, University of Edinburgh, J.C. Maxwell Building, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, UK
(Received 21 February 1995, accepted 27 March 1995)
Abstract
We study the deformation of polymer brushes grafted to porous substrates in strong permeation flows normal to the grafting
surface. Our model predicts a strong deformation regime for both compressive and extensive permeation flows of sufficiently
high solvent flow rates. These regimes are characterized by non-linear scaling of brush thickness
L with molecular weight
N and solvent velocity
V and by non-linear scaling of solvent velocity
V with the pressure drop
across the brush. For the case of strong brush extension,
, as in the case of isolated chains in uniform solvent flows, and
; while for strong brush compression,
and
.
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