Numerical Analysis Seminars: The stability of a hydromagnetic rotating diffusive fluid in the presence of horizontal magnetic field and rotation
14 August 2013 11:00 in CM107
A horizontal layer of viscous fluid that is thermally and magnetically diffusive, is contained between two horizontal infinite planes at a distance d apart. The two planes are maintained at constant temperatures to provide a uniform adverse temperature gradient. The layer is permeated by a uniform horizontal magnetic field and is rotating uniformly about a horizontal axis making an acute angle with the magnetic field. Small perturbations of the system lead to an eigenvalue problem for the growth rate, which depends on seven dimensionless parameters. The solution of the eigenvalue problem is carried out for a highly rotating fluid using singular perturbation techniques.
Because the system can support five different types of waves, the study highlights the interactive nature of the stability of the different types of waves that can be supported by a hydromagnetic rotating stratified diffusive fluid.
Some insight is gained into the importance of diffusion and the conductivity of the boundary on the stability of the different waves. It will be shown that most of the solutions possess boundary or double boundary layers and that some of them are strongly affected by the conductivity of the boundary and others are not.
Contact David.Bourne@durham.ac.uk for more information