Accurate simulation and detailed description of the dynamics of the adsorption process play a significant role in forecasting the performance of new materials when used in various adsorption systems, like cooling/heating. The activated carbon (AC) consolidation allows improving the heat transfer rate inside the adsorption/desorption bed and compacting the systems. There are numerous mathematical models in literature for gas adsorption onto granular AC. But for consolidated AC, because of the absence of macropores, most assumptions that work well for granular AC may lead to significant discrepancies. Therefore, the present research proposes a new mathematical model for gas (CO₂) adsorption onto consolidated adsorbent, a non-isothermal pore change model. The model takes into account the porosity and permeability changes due to the adsorption. The validation of the developed model is performed via comparison with the results obtained experimentally and numerically using an isothermal model. The effective Knudsen diffusion coefficient for the working pair is evaluated from porosity data. The rate of adsorption or mass transfer coefficient is estimated using the van't Hoff plot. The study results could be applied in the development of waste heat-driven cooling systems employing consolidated composite material as the adsorbent. The proposed mathematical model is also applicable for many other working pairs.

吸附过程动力学的准确模拟和详细描述在预测新材料用于各种吸附系统（如冷却/加热）时的性能方面起着重要作用。活性炭 (AC) 固结可以提高吸附/解吸床内的传热速率并压缩系统。文献中有许多关于气体吸附到颗粒活性炭上的数学模型。但是对于合并的 AC，由于没有大孔，大多数适用于颗粒 AC 的假设可能会导致显着差异。因此，本研究提出了一种新的气体（CO ₂) 吸附到固结吸附剂上，一种非等温孔隙变化模型。该模型考虑了由于吸附引起的孔隙率和渗透率变化。通过与使用等温模型在实验和数值上获得的结果进行比较，对开发的模型进行验证。工作对的有效 Knudsen 扩散系数是根据孔隙度数据评估的。吸附速率或传质系数使用范特霍夫图估计。研究结果可用于开发采用固结复合材料作为吸附剂的废热驱动冷却系统。提出的数学模型也适用于许多其他工作对。