Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-18T19:35:44.543Z Has data issue: false hasContentIssue false

Apex jets from impacting drops

Published online by Cambridge University Press:  16 October 2008

J. O. MARSTON
Affiliation:
A*STAR Institute of Chemical and Engineering Sciences, 1 Pesek Road, Jurong Island, Singapore627833
S. T. THORODDSEN
Affiliation:
Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore117576

Abstract

We present experiments showing vertical jetting from the apex of a viscous drop which impacts onto a pool of lower viscosity liquid. This jet is produced by the ejecta sheet which emerges from the free surface of the pool, and moves up and wraps around the surface of the drop. When this sheet of liquid converges and collides at the top apex of the drop it produces a thin upward jet at velocities of more than 10 times the drop impact velocity. This jetting occurs for a limited range of impact conditions, where the ejecta speed is sufficient for the sheet to travel around the entire drop periphery, but not so fast that it separates from the drop surface. The lower bound for the jetting region is thereby set by a minimal Reynolds number, but the upper bounds are subject to a maximum-Weber-number criterion. The strongest observed jets appear for viscous drops impacting onto liquid pools with the lowest viscosity as well as lowest surface tension, such as acetone and methanol. Jetting has also been observed for drops which are immiscible with the pool liquid, under a different range of impact conditions. However, jetting is never observed for pools of water, as the surface tension is then significantly larger than that of the drop. We believe that Marangoni stresses act in this case to promote separation of the sheet to prevent the jetting. A movie is available with the online version of the paper.

Type
Papers
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bartolo, D., Josserand, C. & Bonn, D. 2006 Phys. Rev. Lett. 96, 124501.CrossRefGoogle Scholar
Duez, C., Ybert, C., Clanet, C. & Bocquet, L. 2007 Nat. Phys. 3, 180183.CrossRefGoogle Scholar
Eggers, J. 2001 Phys. Rev. Lett. 86, 4290.CrossRefGoogle Scholar
Eggers, J. & Villermaux, E. 2008 Rep. Prog. Phys. 71, 036001.CrossRefGoogle Scholar
Josserand, C. & Zaleski, S. 2003 Phys. Fluids 15, 16501657.CrossRefGoogle Scholar
May, A. 1951 J. Appl. Phys. 22, 12191222.CrossRefGoogle Scholar
Renardy, Y., Popinet, S., Duchemin, L. et al. 2003 J. Fluid Mech. 484, 6983.CrossRefGoogle Scholar
Rioboo, R., Marengo, M. & Tropea, C. 2002 Exps. Fluids 33, 112124.CrossRefGoogle Scholar
Thoroddsen, S. T. 2002 J. Fluid Mech. 451, 373381.CrossRefGoogle Scholar
Thoroddsen, S. T., Etoh, T. G. & Takehara, K. 2007 a, Phys. Fluids 19, 052101.CrossRefGoogle Scholar
Thoroddsen, S. T., Etoh, T. G. & Takehara, K., 2008 Annu. Rev. Fluid Mech. 40, 257285.CrossRefGoogle Scholar
Thoroddsen, S. T., Etoh, T. G., Takehara, K. & Takano, Y. 2004 J. Fluid Mech. 499, 139148.CrossRefGoogle Scholar
Thoroddsen, S. T., Qian, B., Etoh, T. G. & Takehara, K. 2007 b, Phys. Fluids 19, 072110.CrossRefGoogle Scholar
Weiss, D. A. & Yarin, A. L. 1999 J. Fluid Mech. 385, 229254.CrossRefGoogle Scholar
Worthington, A. M. & Cole, R. S. 1900 Phil. Trans. R. Soc. Lond. A 194, 175199.Google Scholar
Xu, L., Zhang, W. W. & Nagel, S. R. 2005 Phys. Rev. Lett. 94, 184505.CrossRefGoogle Scholar
Yarin, A. L. 2006 Annu. Rev. Fluid Mech. 38, 159192.CrossRefGoogle Scholar

Marston and Thoroddsen supplementary movie

Movie 1. A high-speed video clip, showing the formation of an apex jet when a 4.1mm glycerin drop impacts onto a low-viscosity, low-surface-tension pool of methanol at 1.85m/s.  The corresponding Reynolds number is 10100 and Weber number is 490.  Frame rate is 12500 fps.

Download Marston and Thoroddsen supplementary movie(Video)
Video 5.9 MB