Skip to main content
    • Aa
    • Aa

Transport and stirring induced by vortex formation

  • S. C. SHADDEN (a1), K. KATIJA (a2), M. ROSENFELD (a3), J. E. MARSDEN (a1) and J. O. DABIRI (a2)...

The purpose of this study is to analyse the transport and stirring of fluid that occurs owing to the formation and growth of a laminar vortex ring. Experimental data was collected upstream and downstream of the exit plane of a piston-cylinder apparatus by particle-image velocimetry. This data was used to compute Lagrangian coherent structures to demonstrate how fluid is advected during the transient process of vortex ring formation. Similar computations were performed from computational fluid dynamics (CFD) data, which showed qualitative agreement with the experimental results, although the CFD data provides better resolution in the boundary layer of the cylinder. A parametric study is performed to demonstrate how varying the piston-stroke length-to-diameter ratio affects fluid entrainment during formation. Additionally, we study how regions of fluid are stirred together during vortex formation to help establish a quantitative understanding of the role of vortical flows in mixing. We show that identification of the flow geometry during vortex formation can aid in the determination of efficient stirring. We compare this framework with a traditional stirring metric and show that the framework presented in this paper is better suited for understanding stirring/mixing in transient flow problems. A movie is available with the online version of the paper.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

P. E. Arratia , G. A. Voth & J. P. Gollub 2005 Stretching and mixing of non-Newtonian fluids in time-periodic flows. Phys. Fluids 17 (5), 053102.

D. V. Khakhar & J. M. Ottino 1986 Fluid mixing (stretching) by time periodic sequences of weak flows. Phys. Fluids 29 (11), 35033505.

T. Y. Koh & B. Legras 2002 Hyperbolic lines and the stratospheric polar vortex. Chaos 12, 382394.

D. W. Moore & P. G. Saffman 1973 Axial flow in laminar trailing vortices. Proc. R. Soc. Lond. A 333, 491508.

A. C. Poje & G. Haller 1999 Geometry of cross-stream mixing in a double-gyre ocean model. J. Phys. Oceanogr. 29, 16491665.

D. Weihs 1973 Hydromechanics of fish schooling. Nature 241, 290291.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *



Full text views

Total number of HTML views: 0
Total number of PDF views: 18 *
Loading metrics...

Abstract views

Total abstract views: 139 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 20th July 2017. This data will be updated every 24 hours.