Adsorbate uptake and mass diffusivity of working pairs in adsorption cooling systems

A new closed-form model is proposed to determine the adsorbate uptake rate and the mass diffusivity of adsorbent–adsorbate pairs using experimental data of the gravimetric method based on the concept of Resistance–Capacitance (RC) analogy. The present model is verified against the available analytical solution for the adsorbate uptake for spherical micropore adsorbent particles with solid-side resistance on the surface of adsorbent. Furthermore, a new closed-form relationship for adsorbate uptake rate during the adsorption/desorption processes in adsorption cooling systems (ACS) is developed based on the linear driving force (LDF) model. The proposed adsorbate uptake rate relationship is applicable to the entire range of mass transfer Biot numbers and is as convenient-to-use as the LDF adsorbate uptake rate model. Moreover, the present model can be used to determine the mass diffusivity of spherical micropore adsorbent–adsorbate pairs with less computational time than that of the analytical series solution.