An Energy Relationship in 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 Qσ₁/π² + R₁σ/4τ²₁π⁴ + R₂σ/4τ²₂π⁴ + ⋯+ R_n-1σ/τ²_n-1π⁴ ≤ 1, where Q,σ,σ₁,τ₁,τ₂,…,τ_n-1,R₁,R₂,…,R_n-1 represent Chandrasekhar number, Prandtl number, magnetic Prandtl number, 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 - 1)th component respectively. Further, this result is uniformly valid for any combination of rigid or free boundaries whether perfectly conducting or insulating.