Lattice Boltzmann modelling of isothermal two-component evaporation in porous media

A mesoscopic lattice Boltzmann model is implemented for modelling isothermal two-component evaporation in porous media. The based on the pseudopotential multiphase with two components to mimic phase-change component (e.g. water and its vapour) non-condensible dry air), cascaded collision operator used enhance numerical performance. first analysed Chapman–Enskog expansion then validated by theoretical solution of an diffusive problem. We discuss detail implementation wettability a geometric function scheme further validate microfluidic experiments. apply method simulate convective dual-porosity medium investigate effects inflow vapour concentration ( ${Y_{vapour,in}}$ ) contact angle $\theta$ evaporation. Simulation results reproduce typical transition from constant regime (CRP) at large liquid saturation S receding front period (RFP) small , intermediate falling rate between. dependence average rates during CRP RFP investigated. universal scaling formulation found respect concentration-related mass transfer number $B_Y$ Reynolds Re i.e. $E{R_{CRP}} = {k_3}\ln \left {1 + {B_Y}} \right {\cdot } [ {\ln {Re}} {k_2}} ]\left {\cos (\theta {k_1}} ]$ where ${k_1}$ ${k_2}$ ${k_3}$ are fitting parameters.