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A transient two-dimensional (2D) mathematical model for double-pass solar collector with phase change material (PCM) spheres media in the lower channel has been developed. Numerical simulations model based on applying mass, momentum, and energy balances on finite volumes method are carried out. The governing equations inside the two channels, together with the energy equation in the absorber, insulating and glass cover walls were solved iteratively in a segregated manner. To show the effect of the presence of the PCM, a comparative study was undertaken between a collector with different PCM spheres, a collector without spheres, and another using gravel for thermal storage. To see the effect of the nature of PCM used, two different types were studied in various configurations, parallels and series. The study concluded that the presence of the PCM spheres at the bottom of the absorber is the best configuration and allows increasing the outlet temperature. Also, with combining several types of PCM we can improve significantly the thermal performance of collector.

This study presents a two-dimensional model with a real size home composed of two-storey (ground and first floor spaces) separated by a slab, enveloped by a wall with rectangular section containing phase change material in order to minimize energy consumption in the buildings. The main objective of the phase change material-wall system is to decrease the temperature change from outdoor space before it reaches the indoor space during the daytime. The numerical approach uses effective heat capacity C eff model with realistic outdoor climatic conditions of Tlemcen city, Algeria. The numerical results showed that by using phase change material in wall as energy storage components may reduce the room temperature by about 6 to 7 °C of temperature depending on the floor level (first floor spaces or ground floor spaces).