Steady motion of a rotating stratified fluid bounded by porous disks

1977 ◽  
Vol 85 (1) ◽  
Author(s):  
A. Ramachandra Rao ◽  
A. V. Gopalakrishna
Keyword(s):  
Steady Motion ◽  
Stratified Fluid ◽  
Rotating Stratified Fluid

Quasi-steady flow of a rotating stratified fluid in a sphere

1976 ◽  
Vol 76 (2) ◽  
pp. 209-228 ◽  
Author(s):  
Susan Friedlander
Keyword(s):  
Boundary Layer ◽  
Simple Model ◽  
Surface Stress ◽  
Steady Motion ◽  
Stratified Fluid ◽  
Interior Solution ◽  
The Sun ◽  
Boussinesq Model ◽  
Parameter Ranges ◽  
Rotating Stratified Fluid

The steady and quasi-steady motion achieved in a rotating stratified sphere of fluid is studied in the context of a linearized Boussinesq model. In certain parameter ranges an explicit expression is obtained for the flow field as a functional of the surface stress. The non-singular interior solution is used to examine the behaviour of the boundary layer close to the equator. The results agree with previous conclusions about the behaviour of a rotating stratified fluid in simpler geometries. Viewing the problem as a simple model for the interior core of the sun, this work indicates a solar spin-down time that is within the lifetime of the sun.

scholarly journals Instabilities in the spin-up of a rotating, stratified fluid

2010 ◽  
Vol 22 (5) ◽  
pp. 054108 ◽  
Author(s):  
R. J. Munro ◽  
M. R. Foster ◽  
P. A. Davies
Keyword(s):  
Stratified Fluid ◽  
Rotating Stratified Fluid

Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid

1973 ◽  
Vol 61 (3) ◽  
pp. 609-624 ◽  
Author(s):  
D. J. Acheson
Keyword(s):  
Magnetic Field ◽  
Angular Velocity ◽  
Growth Rates ◽  
Homogeneous Model ◽  
Stratified Fluid ◽  
Generation Mechanism ◽  
Helmholtz Instability ◽  
Coaxial Cylinders ◽  
The Magnetic Field ◽  
Rotating Stratified Fluid

We examine the hydromagnetic stability of a radially stratified fluid rotating between two coaxial cylinders, with particular emphasis on the case when the angular velocity greatly exceeds both buoyant and Alfvén frequencies. If the magnetic field is predominantly azimuthal instabilities then have an essentially non-axisymmetric and wavelike character. Various bounds on their phase speeds and growth rates are derived, including a ‘quadrant’ theorem analogous to Howard's semicircle theorem for Kelvin–Helmholtz instability. Their strong tendency to propagate against the basic rotation (i.e. ‘westward’), previously noted by the author in the study of a more simplified (homogeneous) model, seems relatively insensitive to the generation mechanism (e.g. unstable gradient of magnetic field, angular velocity or density), but a number of counterexamples show that this constraint need not apply if the magnetic field displays significant spatial variations of direction as well as magnitude and that eastward-propagating amplifying modes are then possible.

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