On the refracted patterns produced by liquid vortices |
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Authors: | Yasser Aboelkassem Georgios H Vatistas |
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Institution: | (1) McGill University, Montreal, QC, H3A-2K6, Canada;(2) Concordia University, Montreal, QC, H3G 1M8, Canada |
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Abstract: | A theoretical analysis of the refracted shadows produced by steady and time-decaying liquid vortices under uniform illumination
from above is given in this article. An expression for the induced shadow intensity is derived and found to be a function
of the vortex’s free surface profile, i.e., function of the static pressure distribution. The patterns for different focusing
depth are given and compared with previous visualization results from the literature. The phenomenon is examined and illustrated
as a bench mark case by using both steady and time-decaying algebraic vortex models. However, this study can be extended to
check the feasibility of recovering the main flow properties by analyzing the luminous image intensity of the refracted patterns.
The present analysis is valid only when the swirl velocity is order of magnitude higher than the meridional flow components
and the vorticity is concentrated within the core region and of intense conditions. |
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Keywords: | Fluid dynamics Vortices Dark shadows Intensity Time decay |
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