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Mathematical Model of the Energy Balance for Two Configurations of Trapezoidal Box-type Solar Cooker Tested under Saharan Climate

This article presents a mathematical model for two configurations of a box type solar cooker with trapezoidal shape: the cooker will be eqquiped with an additional reflector at first time and will be removed later, the aim is to determine the behavior in both cases depending on the the available solar energy. The energy balance equations have been solved by a Matlab program developed for this purpose. To validate the mathematical model, the values of the theoretical temperatures values were compared with the experimental results obtained from cooker tests carried out under the Saharan climatic conditions of the Ghardaia site. The tests were carried out with the cooker filled with one or two liters of water from 9:00 AM. to 5:00 PM. A good agreement was found between the measured values and that estimated by the proposed model. The model was then used to simulate the performance of the solar cooker throughout the national territory. Several temperature maps were obtained for different days of the year (winter and summer). It has been found that the temperatures obtained when the cooker is fitted with its reflector are much higher than that obtained without a reflector. The large area of Algeria allows the operation of the cooker without or with reflector in different locations and in particular months for each one of the configurations depending on the amount of solar energy received.