TITLE:
Stability Criteria to the Incompressible Inviscid Linear Fluid between Two Rotation Coaxial Cylinders
AUTHORS:
Hong Yang, Hao Liu
KEYWORDS:
Stability or Instability Criteria, Linearized System, Rotation Flow
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.2,
February
25,
2021
ABSTRACT: The stability and instability phenomenon coupled with the rotation effect and the thermal convection between two concentric cylinders was studied. By means of the Normal-Modes method, the stability or instability criteria for the linearized system in terms of the oscillation frequency, the axial wavelength and the background thermal gradient are proved. Besides, some numerical simulation for the axisymmetric perturbations is presented.