# 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} }

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…

## One Citation

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