Lattice Boltzmann study of porosity-permeability variation in different regimes of non-isothermal dissolution in porous media

Non-linear boundary conditions for the convection-diffusion equation in lattice Boltzmann framework

“…The other parameters are defined as P in ¼ 1 3 ; P out ¼ 0:99 3 ; C eq ¼ 1;k ¼ 0:0000267; and D ¼ 0:5 3 . At a low relative strength of reaction to diffusion (Damköhler number) and unreactive walls, uniform dissolution of the lateral walls is expected (Kang et al, 2014;Taahodi et al, 2021). In this case, analytical analysis of the permeability porosity relationship for the medium leads to (Taahodi et al, 2021):…”

“…14 shows the geometry employed for this purpose. It should be pointed out that this problem has been previously studied in a number of researches and the interested reader is referred to (Kang et al, 2014;Taahodi et al, 2021) for more information.…”