The impacts of vertical throughflow, rotation, cross-diffusion, and
vertical heterogeneous permeability on the double-diffusive convection
in a finite rotating vertical porous cylinder have been studied. The
fluid in the cylinder is warmed and salted from beneath, and its top and
lower walls are taken to be isothermal, isosolutal and permeable. In the
model formulation, the Brinkman model was adopted, coupled with the
Boussinesq approximation. The normal mode technique is used to perform
linear stability analysis and single term Galerkin technique is employed
to solve the eigenvalue problem. Further, the influence of vertical
heterogeneity, vertical throughflow, thermal and solute Rayleigh,
Taylor, and the Soret and Dufour numbers on the fluid system instability
has been investigated. We found, among other results, that vertical
heterogeneity may either stabilize or destabilize the fluid system. The
Dufour number delays both the stationary and oscillatory convection
onsets. The positive Soret number is found to have a stabilizing effect
on the stationary convection case, with a destabilizing effect on the
oscillatory convection case.