Double-diffusive convection in an inclined porous layer with a concentration based internal heat source

摘要

The thermosolutal instability of double-diffusive convection in an inclined fluid-saturated porous layer with a concentration based internal heat source is investigated. The linear instability of small-amplitude perturbations to the system is analyzed with respect to transverse and longitudinal rolls. The resultant eigenvalue problem is solved numerically utilising the Chebyshev-Tau method. It is shown that an increasing inclination angle causes a strong stabilisation in the transverse rolls irrespective of the internal heat source or vertical solutal Rayleigh number. Furthermore, substantial qualitative changes are demonstrated in the linear instability thresholds with variations in the inclination angle and concentrationudbased heat source.