The Catastrophe of Rapidly Rotating Fluids ()
ABSTRACT
In astrophysics, when studying rotating fluid systems (such as stars or
gas giant planets), the rotation effect is most often neglected. This is
explained by the fact that the various stars that populate our universe revolve
around themselves at relatively low speeds. However, when trying to describe
the internal structure of an astrophysical
body, the speed of rotation of the fluid contained in the core of the star can
reach very high values. It, therefore, becomes impossible to neglect centrifugal forces in
the equation of fluid motion. In this work, we carry out a simplified but above
all general study of rapidly rotating fluid systems. Euler’s equation then
contains a centrifugal force term. The resolution of this equation leads to a
solution that reveals a very particular property of this type of
system: “the catastrophe of rapidly rotating fluids”.
Share and Cite:
Sorongane, E. (2022) The Catastrophe of Rapidly Rotating Fluids.
Open Journal of Applied Sciences,
12, 469-480. doi:
10.4236/ojapps.2022.124032.