A DNS display of stronger centrifugal velocity in rotational axisymmetric turbulence
Abstract
It is not new knowledge that when fluids undergo rotation, “fictitious forces” are introduced, the Coriolis force and centrifugal force. It is often interpreted that these fictitious forces occur due to consideration of the physics in the rotational reference frame. In Dunstan (2023) it was shown that in rotating axisymmetric turbulence, particularly in a concentric pipe with inner wall rotating, that regardless of the frame of the observer, the turbulent fluid behaves according to Coriolis motion dictated by observation in the rotating reference frame. It has also been known for a long time (eg. Einstein’s tea-leaf paradox discussion (Barkley (2020)) that fluids under rotation exhibit centrifugal force, which is also often attributed to fluid behaviour in the rotational frame. In the following paper we show that numerical experiments indicate that no matter the reference frame of the observer, “centrifugal” (outward radial) velocity appears to be stronger than “centripetal” (inward radial) velocity. The constraints of the continuity equation are considered. An attempt is made to equate the Gauss’ (divergence) theorem to Stokes (circulation) theorem, via the third moment of fluctuating radial velocity.
Keywords
Citation Information
@article{samueldaviddunstan2026,
title={A DNS display of stronger centrifugal velocity in rotational axisymmetric turbulence},
author={Samuel David Dunstan},
journal={Research Square},
year={2026},
doi={https://doi.org/10.21203/rs.3.rs-9467877/v1}
}
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