%0 Journal Article
%A Prakash, Jyoti
%A Vaid, Kanu
%A Bala, Renu
%D 2015
%I Begell House
%N 5
%P 391-403
%R 10.1615/InterJFluidMechRes.v42.i5.20
%T On arresting the Complex Growth Rates in Magnetohydrodynamic Triply Diffusive Convection
%U http://dl.begellhouse.com/journals/71cb29ca5b40f8f8,73dc5a1f597730b9,56028aad0c9c257f.html
%V 42
%X The paper mathematically establishes that the complex growth rate (*p*_{r} ,p_{i}) 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 (*p*_{r},p_{i}) plane whose centre is origin and radius is max[√((*R*_{1} + R_{2})σ), Qσ], where *R*_{1} and *R*_{2} are the Rayleigh numbers for the two concentration components with diffusivities *κ*_{1} and *κ*_{2} (with no loss of generality *κ > κ*_{1} > κ_{2}), *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).
%8 2015-10-29