Bubble racing in a Hele-shaw cell

ORAL

Abstract

We study theoretically and experimentally the propagation of inviscid bubbles in a Hele-Shaw cell under a uniform background flow, in the regime where each bubble remains approximately circular. New experimental results for the velocity of an isolated bubble are found to agree well with theoretical predictions. For a train of three collinear bubbles, we observe that the middle bubble closes in on the leader, again in agreement with theory. Finally for a system of two non-identical bubbles, we find that the larger bubble overtakes the smaller one, and they avoid contact by rotating around each other while passing.

*DJB is grateful to EPSRC, grant reference number EP/V520202/1, for funding.

Publication: Circular bubbles in a Hele-Shaw channel: a Hele-Shaw Newton's cradle. (JFM 2023)
Bubble racing in a Hele-Shaw cell (planned JFM Rapids 2023)

Presenters

  • Daniel J Booth

    • University of Oxford

Authors

  • Daniel J Booth

    • University of Oxford
  • Ian M Griffiths

    • University of Oxford
  • Peter D Howell

    • University of Oxford
  • Howard A Stone

    • Princeton University
  • Katie Wu

    • Princeton University
  • Janine K Nunes

    • Princeton University