The Brinkman model is used to study the criterion of appearance of stationary convection in a porous horizontal layer saturated by a binary mixture of ferrofluids and heated from below. The analytical expression of the Rayleigh number is determined by dimensionless numbers for the combined effects of buoyancy and magnetic force on the one hand and magnetic force alone on the other. The effect of Darcy’s number, ratio of viscosities, each of the magnetic parameters and the binary parameter is illustrated on the appearance and size of the convection cells. The increasing of the number of Darcy D a , each of the magnetic parameters M 1 , M 3 , ψ m and the separation ratio ψ accelerates the appearance of stationary convection. On the other hand, when the ratio of the viscosity ∧ or the magnetic parameter M 2 is increased, the beginning of the convection is delayed and the ...

中文翻译：

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铁磁流体在多孔介质中的二元混合物中的固定对流

Brinkman模型用于研究由铁磁流体的二元混合物饱和并从下方加热的多孔水平层中固定对流出现的判据。瑞利数的解析表达式由无量纲数决定，一方面是浮力和磁力的组合效果，另一方面是磁力的组合效果。对流池的外观和大小说明了达西数，粘度比，每个磁参数和二元参数的影响。Darcy D a的数量，磁参数M 1，M 3，ψm和分离比ψ的增加都会加速平稳对流的出现。另一方面，当粘度∧或磁参数M 2的比率增加时，