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首页> 外文期刊>Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics >Hydrodynamic interaction of particles with grafted polymer brushes and applications to of colloidal dispersions
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Hydrodynamic interaction of particles with grafted polymer brushes and applications to of colloidal dispersions

机译：粒子与接枝聚合物刷的流体动力学相互作用及其在胶体分散体中的应用

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摘要

We calculate the lubrication force that acts in the normal direction between spherical surfaces bearing grafted polymer brushes and immersed in a viscous fluid. Brinkman's equation is employed to describe the flow in the brushes. For noncompressed brushes we include a slip approximation that applies to poorly permeable brushes of arbitrary density profile. For the step-function profile we present an analytical representation of the force valid for any separation. For compressed brushes we assume the density to increase homogeneously through the gap depending only on the local separation and derive an integral representation for the force along with analytical approximations valid up to rather strong compression. Our results generalize earlier estimates, providing convenient representations for analyses of hydrodynamic interaction between polymerically stabilized colloidal particles. As the simplest appli-cation we calculate the viscosity of a non-Brownian suspension of such particles for comparison with the measured high-shear viscosity for polymerically stabilized lattices.
机译：我们计算润滑力，该润滑力在带有接枝聚合物刷并浸入粘性流体的球形表面之间的法线方向上起作用。使用布林克曼方程描述刷子中的流动。对于非压缩画笔，我们包括适用于任意密度分布的透气性差的画笔的滑动近似。对于阶跃函数曲线，我们提供了对于任何分离均有效的力的解析表示。对于压缩的刷子，我们假设密度仅通过局部间距而通过间隙均匀增加，并得出力的积分表示以及在相当强的压缩下有效的解析近似值。我们的结果归纳了较早的估计，为分析聚合物稳定的胶体颗粒之间的流体动力学相互作用提供了方便的表示。作为最简单的应用，我们计算此类颗粒的非布朗悬浮液的粘度，以与聚合物稳定晶格的高剪切粘度进行比较。

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