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arXiv 1202.1583cond-mat.softcond-mat.mes-hallcond-mat.mtrl-sci
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流量如何改变狭缝中的Polymer消耗

How Flow Changes Polymer Depletion in a Slit

Takashi Taniguchi, Yuichiro Arai, Remco Tuinier, Tai-Hsi Fan

摘要:

建立了预测流体流动影响下聚合物动态衰竭效应的理论模型。将双流体模型和自洽场论相结合,建立了计算结果。本文考虑均匀流体流过含高分子链溶液的狭缝。两个平行且无限长的壁仅对溶剂是可渗透的,并且聚合物不吸附到这些壁上。在θ-溶剂条件下,对于弱流和窄缝,导出了描述稳态聚合物浓度分布的解析表达式。在这两个θ-和良好的溶剂,我们计算的浓度分布的时间演变为特征的各种流速的Peclet数。该模型揭示了消耗,溶剂条件,狭缝宽度,和相对强度的流体流动的相互作用。

英文摘要:

A theoretical model is developed for predicting dynamic polymer depletion effects under the influence of fluid flow. The results are established by combining the two-fluid model and the self-consistent field theory. We consider a uniform fluid flow across a slit containing a solution with polymer chains. The two parallel and infinitely long walls are permeable to solvent only and the polymers do not adsorb to these walls. For a weak flow and a narrow slit in Theta-solvent conditions, an analytic expression is derived to describe the steady state polymer concentration profiles. In both Theta- and good-solvents, we compute the time evolution of the concentration profiles for various flow rates characterized by the Peclet number. The model reveals the interplay of depletion, solvent condition, slit width, and relative strength of the fluid flow.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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