  Chemical reactions can accelerate, slow down or even be at the very origin of
the development of dissolution-driven convection in partially miscible
stratifications, when they impact the density profile in the host fluid phase.
We numerically analyze the dynamics of this reactive convective dissolution in
the fully developed non-linear regime for a phase A dissolving into a host
layer containing a dissolved reactant B. We show that for a general
A+B$\rightarrow$C reaction in solution, the dynamics vary with the Rayleigh
numbers of the chemical species, i.e. with the nature of the chemicals in the
host phase. Depending on whether the reaction slows down, accelerates or is at
the origin of the development of convection, the spatial distributions of
species A, B or C, the dissolution flux and the reaction rate are different. We
show that chemical reactions enhance the steady-state flux as they consume A
and can induce more intense convection than in the absence of reactions. This
result is important in the context of CO$_2$ geological sequestration where
quantifying the storage rate of CO$_2$ dissolving into the host oil or aqueous
phase is crucial to assess the efficiency and the safety of the project.
