Thermal Convecion in a Horizontal Layer of Magnetic Fluids

概要

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The linear instability is investigated for a horizontal magnetic fluid layer con-fined between two ferromagnetic boundaries and heated from below in the pres-ence of a vertical magnetic field. Galerkin method is used for solving the disturb-ance equations. The resultant eigenvalue problem is solved numerically. Thecritical Rayleigh number varies with the magnetic number, 7V, as 7?a.=l06.7(1 -N/N.), where V.) is a function of ,V3, a measure of the nonlinear magnetiza-lion of fluid, and decreases from 141.7 to 106.7 as M3 increases from 0 to co.The linear relation between Ra. and N is proved analytically for very large valuesof M.. It is concluded that the magnetization of the boundaries and the non-linearity of fluid magnetization both reduces Ra., and that the effects of magneticforce and buoyancy compensate each other.
社団法人日本物理学会の論文
1982-09-15