An Energy Relationship in Multicomponent Convection Problem
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A relationship between various energies in magnetohydrodynamic multicomponent convection problem analogous to magnetohydrodynamic thermohaline convection problem of Veronis (1965) type has been established. It is shown that the total kinetic energy associated with a disturbance exceeds the sum of its total magnetic and concentration energies in the parameter regime where Q, σ, σ1, τ1, τ2, …, τn-1, R1, R2, …, Rn-1 represent Chandrasekhar number, Prandtl number, magnetic Prandtlnumber, Lewis number for first concentration component, Lewis number for second concentration component, Lewis number for (n − 1)th concentration component, concentration Rayleigh number for first component, concentration Rayleigh number for second component, concentration Rayleigh number for (n − 1th component respectively. Further, this result is uniformly valid for any combination of rigid or free boundaries whether perfectly conducting or insulating.
Multicomponent convection, Chandrasekhar number, Lewis number, Prandtl number, Rayleigh number.