An analysis of a nonisothermal one-component sorption in a single adsorbent particle—a simplified model

Adsorption Prediction and Modeling of Thermal Energy Storage Systems: A Parametric Study

“…Modeling of adsorption phenomenon has been previously performed by others using various models and simulators. ,− The modeling for the current adsorption study was performed using the MATLAB software in which the system of differential equations was solved using the function “pdepe”. This function uses a Galerkin finite element approach to discretize the spatial variables and a time-marching scheme based on the numerical differential formulas .…”

Experimental and Theoretical Insight of Nonisothermal Adsorption Kinetics for a Single Component Adsorbent–Adsorbate System

“…The understanding of the transport mechanism of the adsorbent–adsorbate system is crucial in designing the thermally driven sorption system. Extensive studies regarding the adsorbate diffusivity in solid adsorbents using the gravimetric or volumetric apparatus have been conducted previously. ,,,,− ,− , Although the indirect volumetric measurement method is likely to be less accurate, Belmabkhout et al have shown that the average deviation between these methods is only about 3 % . Hence, the volumetric method (constant-volume–variable-pressure, CVVP apparatus) is used to conduct the kinetics test.…”

“…The significance of thermal effects in the zeolite systems and adsorption kinetics of n -butane on extruded cylindrical activated carbon has been demonstrated experimentally, ,, and the uptake curves showed significant deviation from that of isothermal systems. The adsorbate diffusivities of solid adsorbents from nonisothermal uptake data were measured in a gravimetric or in a volumetric apparatus ,− ,− and the thermal effects, and the effect of pressure onto the adsorption rate was reported by He et al…”

“…Despite the available nonisothermal models for adsorbate diffusivity of adsorbent–adsorbate pairs − covering many refrigerants and hydrocarbons, they were merely based on semiempirical models. The detailed approaches, such the Fickian diffusion models, involved mainly the mass-transfer mechanism which tended to be complicated and time-consuming when the thermal effects were incorporated into the adsorbate diffusivity.…”

Non-isothermal adsorption kinetics of water vapour into a consolidated zeolite layer

“…The suggested model by Brunovská et al [9] includes heat transfer in an external film and mass transfer inside the porous structure. The gas phase diffusion is the only considered mass transfer mode and is described by means of Fick's law and the diffusivity is assumed to be independent on both concentration and temperature.…”