A thermodynamic model for shear-induced concentration banding and macromolecular separation

D. Jou; M. Criado-Sancho; L. F. Del Castillo; J. Casas-Vázquez

doi:https://doi.org/10.1016/S0032-3861(01)00079-9

A thermodynamic model for shear-induced concentration banding and macromolecular separation

D. Jou, M. Criado-Sancho, L. F. Del Castillo, J. Casas-Vázquez

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

13 Citations (Scopus)

Abstract

We present a simple thermodynamic model for shear-induced concentration banding in polymer solutions, based on a nonequilibrium chemical potential depending on the shear rate. This dependence provides a coupling between diffusion and shear, besides the more classical coupling provided by the divergence of the viscous pressure tensor. When both couplings are taken into account, shear-induced concentration banding appears in a natural way. If the initial homogeneous concentration is higher than a threshold value, shear banding appears for sufficiently high value of the shear rate γ; if the initial concentration is lower, the steady-state concentration profile under shear is smooth. The banding profile depends on the polymer molecular mass and therefore it provides a basis for the chromatographic separation of polymers of different molecular mass. © 2001 Elsevier Science Ltd.

Original language	English
Pages (from-to)	6239-6245
Journal	Polymer
Volume	42
DOIs	https://doi.org/10.1016/S0032-3861(01)00079-9
Publication status	Published - 20 Apr 2001

Keywords

Macromolecules
Shear-induced concentration banding
Viscous pressure

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title = "A thermodynamic model for shear-induced concentration banding and macromolecular separation",

abstract = "We present a simple thermodynamic model for shear-induced concentration banding in polymer solutions, based on a nonequilibrium chemical potential depending on the shear rate. This dependence provides a coupling between diffusion and shear, besides the more classical coupling provided by the divergence of the viscous pressure tensor. When both couplings are taken into account, shear-induced concentration banding appears in a natural way. If the initial homogeneous concentration is higher than a threshold value, shear banding appears for sufficiently high value of the shear rate γ; if the initial concentration is lower, the steady-state concentration profile under shear is smooth. The banding profile depends on the polymer molecular mass and therefore it provides a basis for the chromatographic separation of polymers of different molecular mass. {\textcopyright} 2001 Elsevier Science Ltd.",

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TY - JOUR

T1 - A thermodynamic model for shear-induced concentration banding and macromolecular separation

AU - Jou, D.

AU - Criado-Sancho, M.

AU - Del Castillo, L. F.

AU - Casas-Vázquez, J.

PY - 2001/4/20

Y1 - 2001/4/20

N2 - We present a simple thermodynamic model for shear-induced concentration banding in polymer solutions, based on a nonequilibrium chemical potential depending on the shear rate. This dependence provides a coupling between diffusion and shear, besides the more classical coupling provided by the divergence of the viscous pressure tensor. When both couplings are taken into account, shear-induced concentration banding appears in a natural way. If the initial homogeneous concentration is higher than a threshold value, shear banding appears for sufficiently high value of the shear rate γ; if the initial concentration is lower, the steady-state concentration profile under shear is smooth. The banding profile depends on the polymer molecular mass and therefore it provides a basis for the chromatographic separation of polymers of different molecular mass. © 2001 Elsevier Science Ltd.

AB - We present a simple thermodynamic model for shear-induced concentration banding in polymer solutions, based on a nonequilibrium chemical potential depending on the shear rate. This dependence provides a coupling between diffusion and shear, besides the more classical coupling provided by the divergence of the viscous pressure tensor. When both couplings are taken into account, shear-induced concentration banding appears in a natural way. If the initial homogeneous concentration is higher than a threshold value, shear banding appears for sufficiently high value of the shear rate γ; if the initial concentration is lower, the steady-state concentration profile under shear is smooth. The banding profile depends on the polymer molecular mass and therefore it provides a basis for the chromatographic separation of polymers of different molecular mass. © 2001 Elsevier Science Ltd.

KW - Macromolecules

KW - Shear-induced concentration banding

KW - Viscous pressure

U2 - https://doi.org/10.1016/S0032-3861(01)00079-9

DO - https://doi.org/10.1016/S0032-3861(01)00079-9

M3 - Article

VL - 42

SP - 6239

EP - 6245

JO - Polymer

JF - Polymer

SN - 0032-3861

ER -