Nonlinear Stability and Linear Instability of Double-Diffusive Convection in a Rotating with LTNE Effects and Symmetric Properties: Brinkmann-Forchheimer Model

The major finding of this paper is studying the stability a double diffusive convection using so-called local thermal non-equilibrium (LTNE) effects. A new combined model that we call it Brinkmann-Forchheimer was considered in inquiry. Using both linear and non-linear analysis, used saturated rotating porous layer when fluid solid phases are not state non-equilibrium. In addition, discussed several related topics such as effect solute Rayleigh number, symmetric properties, Brinkman coefficient, Taylor inter-phase heat transfer coefficient on system, porosity modified conductivity ratio. Moreover, two cases were investigated theory, case Forchheimer F=0 Taylor-Darcy number ?=0. For validation work, some numerical experiments made energy instability theories.