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This work concerns a dynamic modeling and a numerical simulation of the operation of an adsorption solar refrigeration system using the zeolite-water couple. For this, a mathematical model representing the evolution of heat and mass transfer at each component of the solar adsorption refrigerator has been developed. We have adopted the Dubinin-Astakhov model for the adsorption kinetics of the zeolite/water pair. This model allows to describe the phenomenon of adsorption and to calculate the rate of adsorbate (water) in the zeolite (adsorbent) as a function of the temperature and the pressure. The equations governing the operation of the solar adsorption refrigerator, deduced from the thermal and mass balances established at the collector adsorber, condenser and evaporator components, were solved by an implicit finite difference scheme and Gauss Seidel's iterative method. We have validated the model established by applying it to the model of Allouhi et al. 2014. We analyzed the influence of the adsorbate/adsorbent couples, the solar flux, the ambient temperature on the adsorption and desorption process. The temperature profiles obtained representing the temperature evolution of the glass, the absorbent plate, the zeolite-water mixture, the condenser, the evaporator, as well as the pressure and the adsorbed mass allowed us to evaluate the performance of the solar adsorption refrigerator. SCOP is higher the higher the solar flux captured by the collector-adsorber.

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This paper presents an optimization study of an adsorption solar refrigerator through dynamic modeling and simulation of the system behavior using the zeolite/water couple. Thus, a mathematical model representing the evolution of heat and mass transfer at each component of the adsorption solar refrigerator has been developed. The results of this study showed that increasing the angle of inclination of the collector from 0° to 13° with respect to the horizontal causes an increase in the temperature of the zeolite. The result is an increase in the mass of water vapor cycled, but also an improvement in the performance of the solar refrigerator. When the value of the angle of inclination exceeds 13°, the mass of water vapor cycled decreases and subsequently leads to a decrease in the performance of the refrigeration system.