In this article, the problem of double-diffusive convection in a porous layer when the viscosity depends on the temperature and using Brinkman–Forchheimer model has been introduced by using the linear and nonlinear energy theories. For linear theory, the critical Rayleigh numbers have been derived and then numerically calculated. However, for nonlinear theory, the critical threshold was derived in three different ways and the results were compared with the results of the linear analysis.

中文翻译：

---

具有温度依赖性粘度的多孔介质中双扩散对流的稳定性：Brinkman–Forchheimer模型

在本文中，通过使用线性和非线性能量理论，介绍了当粘度取决于温度并且使用Brinkman-Forchheimer模型时，多孔层中的双扩散对流问题。对于线性理论，已经导出了临界瑞利数，然后进行了数值计算。但是，对于非线性理论，临界阈值是通过三种不同的方式得出的，并将结果与​​线性分析的结果进行了比较。