Thermally driven Marangoni surfers

Thermally driven Marangoni surfers
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热驱动马兰戈尼冲浪者

DOI:
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发表时间:
2014
影响因子:
3.7
通讯作者:
A. Würger
A. Würger
中科院分区:
工程技术2区
文献类型:
--
作者:
A. Würger

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摘要我们研究了界面粒子在自生非对称温度场或浓度场的Marangoni应力驱动下的自推力。我们分别计算了长程Marangoni流$\def\xmlpi#1{}\def\mathsfbi#1{\boldsign{\mathsf{#1}}\let\le=\leqslant\let\leq=\leqslant\let\ge=\geqslant\let\geq=\geqslant\def\pr{\mathit{pr}}\def\fR{\mathit{fr}}\def\rey{\mathit{re}}{\boldsign{v}}^{i}$-粒子表面无滑移条件施加的射程速度场${\boldsign{v}}^{P}$。对于具有温度单极和偶极矩的球形浮子,这两种贡献都得到了评估。我们发现,自推进速度是由属于短程贡献的“源二重态”的幅度给出的。另一方面,水动力相互作用由长程Marangoni流${\boldSymbol{v}}^{i}$决定。它的偶极部分导致相邻粒子的不对称平流模式,这反过来可能扰乱已知的六方晶格,甚至有利于无序状态。
Abstract We study autopropulsion of an interface particle that is driven by the Marangoni stress arising from a self-generated asymmetric temperature or concentration field. We calculate separately the long-range Marangoni flow $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}{\boldsymbol {v}}^{I}$ due to the stress discontinuity at the interface and the short-range velocity field ${\boldsymbol {v}}^{P}$ imposed by the no-slip condition on the particle surface. Both contributions are evaluated for a spherical floater with temperature monopole and dipole moments. We find that the self-propulsion velocity is given by the amplitude of the ‘source doublet’ that belongs to the short-range contribution ${\boldsymbol {v}}^{P}$ . Hydrodynamic interactions, on the other hand, are determined by the long-range Marangoni flow ${\boldsymbol {v}}^{I}$ . Its dipolar part results in an asymmetric advection pattern of neighbouring particles, which in turn may perturb the known hexatic lattice or even favour disordered states.
DOI: 10.1021/ja900130n
发表时间: 2009-04-22
影响因子: 15
作者:
Okawa D;Pastine SJ;Zettl A;Fréchet JM
通讯作者: Fréchet JM