TY - JOUR

T1 - Polymer brush under strong shear

AU - Lai, Pik Yin

AU - Lai, Chee Yuen

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=4243299629&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.54.6958

DO - 10.1103/PhysRevE.54.6958

M3 - 期刊論文

AN - SCOPUS:4243299629

VL - 54

SP - 6958

EP - 6961

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 6

ER -