Density proles around A+B -> C reaction-diffusion fronts in partially miscible systems: A general classification

Various spatial density proles can develop in partially miscible stratifications, when a phase A dissolves with a finite solubility into a host phase containing a dissolved reactant B. We investigate theoretically the impact of an A+B -> C reaction on such density proles in the host phase and classify them in a parameter space spanned by the ratios of relative contributions to density and diffusion coefficients of the chemical species. While the density prole is either monotonically increasing or decreasing in the non reactive case, reactions combined with differential diffusivity can create eight different types of density proles featuring up to two extrema in density, at the reaction front or below it. We use this framework to predict various possible hydrodynamic instability scenarios inducing buoyancy-driven convection around such reaction fronts when they propagate parallel to the gravity field.