Polymer brush under strong shear

Pik Yin Lai, Chee Yuen Lai

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


End-grafted polymer brush exposed to strong shear solvent flow is studied. Under strong enough shear flow, the shear force is nonlinear with the blob size depending on the shear force and not on the monomer volume fraction [Formula Presented]. We derive the crossover force scale separating the weak and strong shear regime. The velocity profile of the flow, [Formula Presented], inside and above the brush is calculated analytically by treating the flow as in a porous medium and solving the Brinkman equation. The solution of the velocity profile is then combined with nonequilibrium Monte Carlo simulation data, which allow a self-consistent determination of the chain end-to-end length and the incline angle of the chain. We derive the scaling form for the chain positions [Formula Presented] for the [Formula Presented] monomer and verified by our simulation data. We further obtain analytical expression for [Formula Presented] in terms of the effective viscosity of the model.

Original languageEnglish
Pages (from-to)6958-6961
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number6
StatePublished - 1996


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