A spectral model of MHD finite amplitude overstability
Abstract
The application of a magnetic field to a layer of ionized fluid heated from below has the two-fold effect of inhibiting the onset of dynamic convection and instigating the occurrence of finite amplitude overstability. The transient nonlinear flow equations, which have been obtained by an averaging over the convection cells, are solved using the spectral method employing the trigonometric functions. A description of the method is given and graphs are presented depicting the variations of the dependent variables. The results indicate a rapid growth of the overstable oscillations with increasing Rayleigh number, when close to the marginal value.
- Publication:
-
7th Australasian Conference on Hydraulics and Fluid Mechanics
- Pub Date:
- 1981
- Bibcode:
- 1981hfm..conf..488M
- Keywords:
-
- Flow Equations;
- Magnetic Fields;
- Magnetohydrodynamic Stability;
- Mathematical Models;
- Plasma Layers;
- Temperature Distribution;
- Boussinesq Approximation;
- Convective Flow;
- Heat Flux;
- Maxwell Equation;
- Plasma Heating;
- Rayleigh Number;
- Temperature Gradients;
- Wave Propagation;
- Plasma Physics