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首页> 外文期刊>Applied Mathematical Modelling >An analytical study of linear and nonlinear double diffusive convection in a fluid saturated anisotropic porous layer with Soret effect
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An analytical study of linear and nonlinear double diffusive convection in a fluid saturated anisotropic porous layer with Soret effect

机译：具有Soret效应的流体饱和各向异性多孔层中线性和非线性双扩散对流的分析研究

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摘要

The double diffusive convection in a horizontal anisotropic porous layer saturated with a Boussinesq fluid, which is heated and salted from below in the presence of Soret coefficient is studied analytically using both linear and nonlinear stability analyses. The normal mode technique is used in the linear stability analysis while a weak nonlinear analysis based on a minimal representation of double Fourier series method is used in the nonlinear analysis. The generalized Darcy model including the time derivative term is employed for the momentum equation. The critical Rayleigh number, wavenumber for stationary and oscillatory modes and frequency of oscillations are obtained analytically using linear theory. The effect of anisotropy parameters, solute Rayleigh number, Soret parameter and Lewis number on the stationary, oscillatory, finite amplitude convection and heat and mass transfer are shown graphically.
机译：使用线性和非线性稳定性分析，通过分析研究了在存在Soret系数的情况下从下方加热和盐化的，充满Boussinesq流体的水平各向异性多孔层中的双扩散对流。线性稳定性分析使用正态技术，而非线性分析则使用基于双重傅里叶级数方法的最小表示的弱非线性分析。动量方程采用包含时间导数项的广义达西模型。使用线性理论可解析地获得临界瑞利数，稳态和振荡模式的波数以及振荡频率。分别显示了各向异性参数，溶质瑞利数，Soret参数和Lewis数对平稳，振荡，有限振幅对流以及传热和传质的影响。

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