TITLE:
The Catastrophe of Rapidly Rotating Fluids
AUTHORS:
Elie W’ishe Sorongane
KEYWORDS:
Fluid, Rapidly, Rotating, Catastrophe, Viscosity
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.12 No.4,
April
22,
2022
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”.