Breakup of surfactant-laden jets above the critical micelle concentration

Breakup of surfactant-laden jets above the critical micelle concentration
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DOI:
10.1017/s0022112009006533
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发表时间:
2009-06-25
影响因子:
3.7
通讯作者:
Papageorgiou, D. T.
Papageorgiou, D. T.
中科院分区:
工程技术2区
文献类型:
--
作者:
Craster, R. V.;Matar, O. K.;Papageorgiou, D. T.

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含有表面活性剂的粘性液体射流的破裂(可能高于临界胶束浓度(CMC))在这里被认为是在长波近似内。假定可溶性表面活性剂以三相存在:作为界面物质、本体单体和胶束。针对这些相与表面张力之间的相互作用开发了一个模型,该模型遵循非线性状态方程。研究了状态方程和胶束产生的表面活性剂库对破裂的影响。长波近似自然会产生一个可以数值求解的耦合一维方程组。结果表明,CMC 上方存在高浓度表面活性剂会严重影响射流破裂和卫星形成。这通过异常大的卫星的形成来体现。我们提供了大量的数值证据,表明这种现象的机制集中在马兰戈尼应力和非线性表面活性剂状态方程之间的相互作用;后者在高界面浓度下表现出稳定状态。
The breakup of viscous liquid jets that contain surfactant, that is potentially above the critical micelle concentration (CMC) is considered here within the long-wave approximation. The soluble surfactant is assumed to be present in three phases: as an interfacial species, bulk monomers and micelles. A model is developed for the interaction between these phases and the surface tension which obeys a nonlinear equation of state. The effects of the equation of state and the reservoir of surfactant created by micelles on breakup are investigated. The long-wave approximation naturally leads to a system of coupled one-dimensional equations that are solved numerically. It is demonstrated that jet breakup and satellite formation are critically affected by the presence of high surfactant concentrations above the CMC. This manifests itself by the formation Of unusually large satellites. We present extensive numerical evidence that the mechanism for this phenomenon centres on the interplay between Marangoni stresses and the nonlinear surfactant equation of state; the latter exhibits a plateau at high interfacial concentrations.