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Onset of Double-Diffusive Reaction-Convection in an Anisotropic Rotating Porous Layer

机译：各向异性旋转多孔层中双扩散反应对流的开始

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摘要

The linear and non-linear stability of a rotating double-diffusive reaction-convection in a horizontal anisotropic porous layer subjected to chemical equilibrium on the boundaries is investigated considering a Darcy model that includes the Coriolis term. The effect of Taylor number, mechanical, and thermal anisotropy parameters, reaction rate, solute Rayleigh number, Lewis number, and normalized porosity on the stability of the system is investigated. We find that the Taylor number has a stabilizing effect, chemical reaction may be stabilizing or destabilizing and that the anisotropic parameters have significant influence on the stability criterion. The effect of various parameters on the stationary, oscillatory, and finite-amplitude convection is shown graphically. A weak nonlinear theory based on the truncated representation of Fourier series method is used to find the finite amplitude Rayleigh number and heat and mass transfer.
机译：考虑包含科里奥利项的达西模型，研究了在边界上进行化学平衡的水平各向异性多孔层中旋转双扩散反应对流的线性和非线性稳定性。研究了泰勒数，机械和热各向异性参数，反应速率，溶质瑞利数，路易斯数和归一化孔隙率对系统稳定性的影响。我们发现泰勒数具有稳定作用，化学反应可能稳定或不稳定，并且各向异性参数对稳定性判据有显着影响。图形显示了各种参数对平稳，振荡和有限振幅对流的影响。基于傅立叶级数方法的截断表示的弱非线性理论被用来寻找有限振幅的瑞利数和传热传质。

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