“…Moreover, at the interface between the ACF and fluid in the macropores, the continuity of temperature and normal heat flux are satisfied as follows: The relationship between the equalized adsorption amount and the concentration of toluene at the interface is obtained using the Langmuir theory [ 30 ] : where N w,e and N m denote the equalized adsorption amount at the surface and the saturation adsorption amount of toluene, respectively, and K denotes the Langmuir model parameter. Using the principle of mass conservation, the mass flux at the ACF surface induced by adsorption/desorption effects is determined by the following [ 28 ] : This mathematical model mainly focuses on the reactive and adsorptive transport behaviours during the combined regeneration process of ACF felt. Some complex additional interaction mechanisms occurring in the actual industry process (e.g., the adsorbate thermal decomposition, chemical adsorption, and oligomerization [ 31 ] ) are not considered in this numerical model.…”