This paper proposes a novel closed-form analytical model to predict the sorption performance of a pin fin heat/mass exchanger (PF-HMX) prototype, using the Eigenfunction expansion method to solve the governing energy equation. The proposed transient 2-D solution includes all salient thermophysical and sorption properties, sorbent geometry, operating conditions, and the thermal contact resistance at the interface between the sorber bed heat exchanger and sorption composite. An analysis of variance (ANOVA) method is utilized to understand the percentage contribution of each parameter on specific cooling power (SCP) and coefficient of performance (COP). It is shown that the amount of graphite flake, sorbent thickness, and fin radius on one hand and cycle time and graphite flake content on the other have the highest level of contribution to the COP and SCP, respectively. Moreover, a parametric study found that HMX geometry, sorbent properties, and cycle time counteract effects on COP and SCP, which should be optimized simultaneously to build an optimal design. The analytical model was validated successfully using the sorption data from a custom-built gravimetric large temperature jump (G-LTJ) testbed. The experimental results show that the present PF-HMX design with a relatively low mass ratio (MR) can achieve an SCP of 1160 W kg⁻¹ and a COP of 0.68 which are higher than the previously published results in the literature.

本文提出了一种新颖的封闭式分析模型来预测针翅式热/质交换器 (PF-HMX) 原型的吸附性能，使用特征函数展开方法来求解控制能量方程。拟议的瞬态二维解决方案包括所有显着的热物理和吸附特性、吸附剂几何形状、操作条件以及吸附床热交换器和吸附复合材料之间界面处的热接触电阻。方差分析 (ANOVA) 方法用于了解每个参数对特定冷却功率 (SCP) 和性能系数 (COP) 的百分比贡献。结果表明，石墨片的数量、吸附剂的厚度、一方面是翅片半径，另一方面是循环时间和石墨片含量，分别对 COP 和 SCP 的贡献水平最高。此外，一项参数研究发现 HMX 几何形状、吸附剂性质和循环时间抵消了对 COP 和 SCP 的影响，应同时优化以构建最佳设计。使用来自定制的重力大温度跃变 (G-LTJ) 试验台的吸附数据成功验证了分析模型。实验结果表明，目前具有相对较低质量比 (MR) 的 PF-HMX 设计可以实现 1160 W kg 的 SCP 使用来自定制的重力大温度跃变 (G-LTJ) 试验台的吸附数据成功验证了分析模型。实验结果表明，目前具有相对较低质量比 (MR) 的 PF-HMX 设计可以实现 1160 W kg 的 SCP 使用来自定制的重力大温度跃变 (G-LTJ) 试验台的吸附数据成功验证了分析模型。实验结果表明，目前具有相对较低质量比 (MR) 的 PF-HMX 设计可以实现 1160 W kg 的 SCP⁻¹和 COP 为 0.68，高于文献中先前发表的结果。