How flow changes polymer depletion in a slit
How flow changes polymer depletion in a slit
复制标题
流动如何改变狭缝中的聚合物损耗
DOI：
10.1140/epje/i2012-12088-7
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
T.-H. Fan
中科院分区：
文献类型：
--
作者：
T. Taniguchi;Y.Arai;R. Tuinier;T.-H. Fan
建立了流体流动影响下聚合物动态耗竭预测的理论模型。将双流体模型和自洽场理论相结合，得到了相应的结果。我们考虑均匀的流体流过含有聚合物链的溶液的狭缝。两个平行且无限长的壁只对溶剂渗透，聚合物不会吸附到这些壁上。对于弱流动和狭缝，导出了描述聚合物在溶剂中的稳态浓度分布的解析表达式。在好的溶剂和好的溶剂中，我们计算了以Peclet数表征的不同流速下的浓度分布随时间的演变。该模型揭示了耗竭、溶剂条件、狭缝宽度和流体流动的相对强度之间的相互作用。
A theoretical model is developed for predicting dynamic polymer depletion 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, an analytic expression is derived to describe the steady-state polymer concentration profiles in a-solvent. In both- 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 the relative strength of the fluid flow.