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Description
This study examines the linear and nonlinear stability of double-diffusive convection in a horizontal, fluid-saturated porous layer, accounting for a nonlinear Boussinesq approximation, uniform internal heat generation, and magnetic field effects. The momentum transport is modeled using the Forchheimer extension to Darcy’s law in order to capture quadratic inertial drag. Linear stability analysis and nonlinear energy stability analysis are carried out, and the resulting eigenvalue problems are solved numerically using the Chebyshev–tau spectral method. The results demonstrate that both the magnetic field and the internal heat source exert a pronounced influence on the critical stability thresholds, with uniform internal heating acting as a destabilizing mechanism that promotes the onset of convection. A systematic comparison between linear and nonlinear stability limits reveals the existence of subcritical instability regimes. In contrast, an increase in the Hartmann number ($Ha^2$) significantly delays the onset of convection.
| Country | India |
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