Publication de 6 numéros par an
ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110
Indexed in
On arresting the Complex Growth Rates in Magnetohydrodynamic Triply Diffusive Convection
RÉSUMÉ
The paper mathematically establishes that the complex growth rate (pr ,pi) of an arbitrary neutral or unstable oscillatory perturbation of growing amplitude, in a magneto triply diffusive fluid layer with one of the components as heat with diffusivity κ must lie inside a semicircle in the right half of the (pr,pi) plane whose centre is origin and radius is max[√((R1 + R2)σ), Qσ], where R1 and R2 are the Rayleigh numbers for the two concentration components with diffusivities κ1 and κ2 (with no loss of generality κ > κ1 > κ2), Q is the Chandrasekhar number and σ is the thermal Prandtl number. It is further proved that the above result is uniformly valid for any combination of rigid and free boundaries (which may be insulating or perfectly conducting).