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

Abstract

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

Experimental Investigation on Salt Precipitation Behavior during Carbon Geological Sequestration: Considering the Influence of Formation Boundary Solutions

“…As shown in Figure b, the entire process can be separated into three stages. The initial stage of evaporation is known as the constant rate period (CRP), while the second stage is known as the falling rate period (FRP), and the third stage is the receding front period (RFP). , The distribution of the salt and residual solution under the three flow rate settings at the end of the CRP is shown in Figure a–c. The figure shows that during CRP, the solution in the mainstream is predominantly evaporated.…”

Lattice Boltzmann modelling of colloidal suspensions drying in porous media accounting for local nanoparticle effects

“…Zachariah, Panda & Surasani (2019) extended the LBM from diffusive drying to convective drying, but with the limit of the non-condensable gaseous phase to small volume fraction. Recently, Fei et al (2022b) improved this model to a high volume fraction of the non-condensable gaseous phase by using the cascaded collision model, and investigated the influence of different parameters on drying rate (Fei et al 2023). Regarding drying of a colloidal suspension, two different approaches of taking care of nanoparticles are put forward.…”

“…(2022 b ) improved this model to a high volume fraction of the non-condensable gaseous phase by using the cascaded collision model, and investigated the influence of different parameters on drying rate (Fei et al. 2023). Regarding drying of a colloidal suspension, two different approaches of taking care of nanoparticles are put forward.…”

Coupled lattice Boltzmann method–discrete element method model for gas–liquid–solid interaction problems

“…The mesoscale nature of the LBM allows the easy incorporation of interactions among molecules and molecular clusters, while the highly local algorithm of the LBM makes it very efficient in large-scale parallel computations (Li et al 2016a). So far, the LBM has been widely used in liquid-gas two-phase flows (Huang et al 2015;Li et al 2016a;Gan et al 2022), water-oil two-component flows (Liu et al 2016;Chen et al 2022), liquid-vapour phase-change processes (Li et al 2015;Fei et al 2023;Qin et al 2023) and gas-solid two-phase flows (Peng, Ayala & Wang 2019. However, modelling gas-liquid-solid three-phase systems based on the LBM (Zhang et al 2020;Jiang et al 2022) remains a challenge, as discussed in the following.…”

“…2015; Fei et al. 2023; Qin et al. 2023) and gas–solid two-phase flows (Peng, Ayala & Wang 2019, 2020).…”