An experimental study of the Saffman-Taylor instability

Author:

Tabeling P.,Zocchi G.,Libchaber A.

Abstract

An experiment on the Saffman-Taylor instability with wetting fluids is presented that explores a greater range of capillary numbers than did the original experiment of Saffman and Taylor. It turns out that no clear one-half plateau for the finger size is observed, and that the ensemble of experiments cannot be analysed in terms of a single control parameter. The effect of the film of oil left behind the finger is important, and we measure its thickness. A qualitative discussion of the instabilities of the fingers for large capillary numbers is presented, the first instability leading to asymmetrical fingers. Tip splitting appears for larger values of 1/B. The 1/B value for the onset of instabilities is shown to be noise dependent.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference24 articles.

1. Mclean, J. W. 1980 The fingering problem in flows through porous media. PhD thesis,Caltech.

2. Landau, L. & Levich, B. 1942 Dragging of a liquid by a moving plate.Acta Phisicochimica USSR 17,42.

3. Shraiman, B. I. & Bensimon, D. 1984 Singularities in non local interface dynamics.Phys. Rev. A30,2840.

4. Taylor, G. I. 1961 Deposition of a viscous fluid on the wall of a tube.J. Fluid Mech. 10,161.

5. Maher, J. 1985 The development of viscous fingering patterns.Phys. Rev. Lett. 54,1498.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3