Condition for Break-up of Non-Wetting Fluids in Sinusoidally Constricted Capillary Channels
Condition for Break-up of Non-Wetting Fluids in Sinusoidally Constricted Capillary Channels
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DOI：
10.1007/s11242-009-9381-6
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发表时间：
2009-04
影响因子：
2.7
通讯作者：
I. Beresnev;Wenqing Li;R. D. Vigil
中科院分区：
文献类型：
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作者：
I. Beresnev;Wenqing Li;R. D. Vigil
对具有正弦轮廓的单个通道中的毛细管压力分布的分析表明，此类通道中的表面张力驱动的流动受其“波峰”和“波谷”处的压力极值控制。制定波谷中的压力超过波峰中的压力的几何条件得出了收缩颈部中的非润湿流体自发破裂的简单标准。该准则简化为高原瑞利不稳定性的条件作为极限情况。类似的压力分析适用于非润湿流体侵入开孔体的情况。计算流体动力学实验验证了毛细管压力论证预测的破裂的有效性。尽管破裂的几何标准对于小毛细管数是有效的，但它提供了一个通用框架，在该框架中可以解释和理解各种已发表的关于大范围毛细管数的毛细管收缩中的非润湿相阻塞的研究结果。
Analysis of capillary-pressure distribution in single channels with sinusoidal profile shows that surface tension-driven flow in such channels is controlled by the pressure extrema at their “crests” and “troughs”. Formulating the geometric condition for the pressure in the troughs to exceed that in the crests leads to a simple criterion for the spontaneous break-up of the non-wetting fluid in the necks of the constrictions. The criterion reduces to the condition for the Plateau-Rayleigh instability as a limiting case. Similar pressure analysis is applicable to the case of a non-wetting fluid invading an open pore body. Computational-fluid-dynamics experiments have verified the validity of the break-up predicted from the capillary-pressure argument. Although the geometric criterion for the break-up is valid for small capillary numbers, it provides a common framework in which the results of various published studies of a non-wetting phase choke-off in capillary constrictions for a wide range of capillary numbers can be explained and understood.