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Tracer particle momentum effects in vortex flows

Birch, DM and Martin, N (2013) Tracer particle momentum effects in vortex flows Journal of Fluid Mechanics, 723. pp. 665-691.

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The measurement of vortex flows with particle-image velocimetry (PIV) is particularly susceptible to error arising from the finite mass of the tracer particles, owing to the high velocities and accelerations typically experienced. A classical model of Stokes-flow particle transport is adopted, and an approximate solution for the case of particle transport within an axisymmetric, quasi-two-dimensional Batchelor q-vortex is presented. A generalized expression for the maximum particle tracking error is proposed for each of the velocity components, and the importance of finite particle size distributions is discussed. The results indicate that the tangential velocity component is significantly less sensitive to tracking error than the radial component, and that the conventional particle selection criterion (based on the particle Stokes number) may result in either over- or under-sized particles for a specified allowable error bound. Results were demonstrated by means of PIV measurements carried out in air and water using particles with very different properties.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences
Authors :
Birch, DM
Martin, N
Date : 4 February 2013
DOI : 10.1017/jfm.2013.82
Additional Information : Cambridge Journals allow Green OA with no embargo period for the ‘Accepted Manuscript’. The accepted manuscript is the version of the paper that has been submitted to a journal, peer-reviewed and accepted for publication but not yet copyedited or typeset or had any other publishing processes applied (such as adding metadata).
Depositing User : Symplectic Elements
Date Deposited : 24 Apr 2013 10:40
Last Modified : 31 Oct 2017 15:03

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