An energy relationship in magnetothermohaline convection problem of the Stern type (Q1094243)

An attempt has been made to establish the relationship between various energies in magnetothermohaline convection problem of the Stern type. The established relationship shows that the total kinetic energy associated with a disturbance exceeds the sum of its total magnetic and thermal energies in the parameter, regime \(Q\sigma_ 1\pi^{-2}+| R| \sigma \pi^{-4}\leq 1\), where Q, \(\sigma\), \(\sigma_ 1\) and R represent the Chandrasekhar number, the thermal Prandtl number, the magnetic Prandtl number, and the Rayleigh number, respectively.