Method of determining the cohesion and adhesion parameters in the Shan-Chen multicomponent multiphase lattice Boltzmann models

The cohesion and adhesion parameters are the two essential parameters in the Shan-Chen multicomponent and multiphase lattice Boltzmann models for determining the separation of fluids and the wettability of surfaces, and thus should be carefully chosen. In this study, we propose a systematic method of determining these parameters from a physical point of view. The cohesion parameters of different water/alkane systems are determined by matching the interfacial tensions, and the adhesion parameters between the water/alkane and the silicon dioxide are obtained by matching the contact angles as such that their physical meanings are preserved. Based on the linear relationship between the interfacial tension and the cohesion/adhesion forces, an improved equation for predicting the adhesion parameter is proposed and validated by comparing the simulated contact angles using the predicted adhesion parameters with experimental results. Further, the effect of cohesion and adhesion parameters on the advancing and receding angles of the oil slug in a capillary tube in the movement initialization process was also investigated.