Abstract
An investigation was undertaken to develop a mathematical model to predict the performance of shallow solar pond water heaters with dark colored water bags. Heat balance (SSP) equations were solved analytically with the Laplace transform for partial differential equations, and the method of residuals. The model was implemented with Quick Basic language in a Macintosh computer. Experimental data was gathered from an existing SSP installation at the University of Puerto Rico, Mayagüez Campus. The model gave accurate results predicting the maximum temperature and describing the performance of the pond throughout the daytime hours. Economics of the system indicate that SSPs are a feasible alternative for users of average to high volumes of hot water in Puerto Rico, and other Caribbean islands, at the current crude oil prices. This work recommends the construction of SSP in modules of 40 m 2 for practical applications.
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