Skip to main content

Vortex Rings of One Fluid in Another in Free Fall

  • Chapter
Fundamentals of Two-Fluid Dynamics

Part of the book series: Interdisciplinary Applied Mathematics ((IAM,volume 4))

  • 665 Accesses

Abstract

This chapter is based on the paper by Baumann, Joseph, Mohr and Renardy [1992]. We present and interpret experiments in which vortex rings of one immiscible liquid are created in another from drops falling from rest under gravity. These rings are associated with circulations generated by viscosity and, unlike classical vortex rings which occur in miscible liquids at high Reynolds numbers, they can exist even at very low Reynolds numbers. Since the rings do not diffuse, they are well-defined. Nonetheless, there are many similarities in the dynamics of formation and flow of miscible and immiscible rings. We are going to identify parameters which appear to correlate our observations and to show photographs of some of the more interesting events we have seen.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

Joseph, D.D., Renardy, Y.Y. (1993). Vortex Rings of One Fluid in Another in Free Fall. In: Fundamentals of Two-Fluid Dynamics. Interdisciplinary Applied Mathematics, vol 4. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7061-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-7061-5_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-7063-9

  • Online ISBN: 978-1-4615-7061-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics