A fate-alternating transitional regime in contracting liquid filaments

A fate-alternating transitional regime in contracting liquid filaments
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DOI:
10.1017/jfm.2018.855
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发表时间:
2018-12
影响因子:
3.7
通讯作者:
F. Wang;F. P. Contò;N. Naz;J. Castrejón-Pita;A. A. Castrejón-Pita-A.;C. Bailey;W. Wang;J. Feng;Y. Sui
F. Wang;F. P. Contò;N. Naz;J. Castrejón-Pita;A. A. Castrejón-Pita-A.;C. Bailey;W. Wang;J. Feng;Y. Sui
中科院分区:
工程技术2区
文献类型:
--
作者:
F. Wang;F. P. Contò;N. Naz;J. Castrejón-Pita;A. A. Castrejón-Pita-A.;C. Bailey;W. Wang;J. Feng;Y. Sui

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收缩液丝的命运取决于Ohnesorge数($oh$)、初始长宽比($\unicode[stix]{x1D6E4}$)和表面扰动。一般来说,人们认为存在一个临界长宽比$\unicode[stix]{x1D6E4}_{c}(Oh)$,使得较长的细丝断裂,较短的细丝回缩成一滴。通过计算和实验研究,我们报道了一种具有大范围中等长径比的细丝的过渡机制,其中存在多个$\unicode[stix]{x1D6E4}{c}$阈值,在该阈值下,新的破裂模式和未破裂模式交替。我们建立了一个考虑毛细管波叠加的简单模型,可以预测复杂的新相图。在这个模型中,破裂是由于起源于细丝末端的毛细管波之间的建设性干涉造成的。
The fate of a contracting liquid filament depends on the Ohnesorge number ( $Oh$ ), the initial aspect ratio ( $\unicode[STIX]{x1D6E4}$ ) and surface perturbation. Generally, it is believed that there exists a critical aspect ratio $\unicode[STIX]{x1D6E4}_{c}(Oh)$ such that longer filaments break up and shorter ones recoil into a single drop. Through computational and experimental studies, we report a transitional regime for filaments with a broad range of intermediate aspect ratios, where there exist multiple $\unicode[STIX]{x1D6E4}_{c}$ thresholds at which a novel breakup mode alternates with no-break mode. We develop a simple model considering the superposition of capillary waves, which can predict the complicated new phase diagram. In this model, the breakup results from constructive interference between the capillary waves that originate from the ends of the filament.