# Advective balance in pipe-formed vortex rings

@article{Shariff2017AdvectiveBI,
title={Advective balance in pipe-formed vortex rings},
author={Karim Shariff and Paul S. Krueger},
journal={Journal of Fluid Mechanics},
year={2017},
volume={836},
pages={773 - 796}
}
• Published 12 December 2017
• Mathematics, Physics
• Journal of Fluid Mechanics
Vorticity distributions in axisymmetric vortex rings produced by a piston–pipe apparatus are numerically studied over a range of Reynolds numbers, $Re$ , and stroke-to-diameter ratios, $L/D$ . It is found that a state of advective balance, such that $\unicode[STIX]{x1D701}\equiv \unicode[STIX]{x1D714}_{\unicode[STIX]{x1D719}}/r\approx F(\unicode[STIX]{x1D713},t)$ , is achieved within the region (called the vortex ring bubble) enclosed by the dividing streamline. Here \$\unicode[STIX]{x1D701…
1 Citations
• Physics, Engineering
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Viscous vortex layers subject to a more general uniform strain are considered. They include Townsend's steady solution for plane strain (corresponding to a parameter a = 1), in which all the strain

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