Eccentricity effect on horizontal capillary emptying

Eccentricity effect on horizontal capillary emptying
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DOI:
10.1017/jfm.2022.567
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发表时间:
2022
期刊:
Journal of Fluid Mechanics
影响因子:
--
通讯作者:
Fu Chenyu
Fu Chenyu
中科院分区:
--
文献类型:
--
作者:
Tan Dongwen;Zhou Xinping;Zhang Gang;Zhu Chengwei;Fu Chenyu

文献摘要

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This paper theoretically studies the effect of eccentricity on the conditions of capillary emptying (determined by critical Bond number) in a horizontal annular tube in a downward gravity field. Experiments are conducted to compare with theoretical results. We find that non-horizontal eccentricity can lead to the occurrence of a re-entrant liquid-state transition (from liquid non-occlusion to liquid plug to liquid non-occlusion) with increasing Bond number, when the eccentricity ( e ) or inner-to-outer radius ratio ( χ ) is large enough, and the two liquid non-occlusion states correspond to different emptying mechanisms dominated by the gravity effect and the ‘wedge’ effect, respectively. Existence of the re-entrant transition is accompanied by occurrence of unconditional liquid non-occlusion at large enough or small enough contact angles regardless of Bond numbers. The critical Bond numbers at a contact angle γ for vertical upward eccentricity are equal to those at a contact angle 180° − γ for vertical downward eccentricity. In a parameter space ( γ , e /(1 − χ )), the region with the re-entrant transition becomes larger with the eccentric angle varying from 0° (horizontal) to 90° (vertical). Optimization of geometrical parameters and inner and outer contact angles can lead to better effect of capillary emptying. This paper provides a very effective scheme for removing a liquid blockage from a capillary in optofluidics/microfluidics.