Analysis of fluid flow in a bidispersive medium with reactions is explored. The Darcy model is used in the momentum equation with the density being a linear function in temperature and salt concentration. Two cases are regarded which are heated below and salted above system and heated and salted below system. It is presumed that the equilibrium solute concentration follows a linear relationship to temperature. A linear instability and nonlinear stability theories are conducted, and from the outputs of the analysis, the Chebyshev collocation approach is used to solve the resulting eigenvalue systems. The effects of the chemical reaction and other parameters on temperature Rayleigh number are described graphically.

中文翻译：

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双分散多孔介质中达西热溶对流的稳定性与反应

探索了在双分散介质中进行反应的流体流动分析。Darcy 模型用于动量方程，其中密度是温度和盐浓度的线性函数。考虑在系统下加热和盐渍和在系统下加热和盐渍两种情况。假定平衡溶质浓度与温度呈线性关系。进行了线性不稳定性和非线性稳定性理论，并根据分析的输出，使用切比雪夫搭配方法来求解得到的特征值系统。以图形方式描述了化学反应和其他参数对温度瑞利数的影响。