Optimization of Solar Hot Water Storage Tank Performance During Charging Process Using Buckingham’s Theorem

Abstract

Buckingham's theory uses quantitative analysis to include the basic concepts of mathematical modeling by reducing the number of parameters in equations, making it simpler for quality studies. In this work, the novel mathematical modeling has been developed to study and optimize the solar water storage tank during the charging processes. Experiments were conducted in a tank to store hot water under natural conditions on various days in Jalgaon Maharashtra, India to test the performance of the system. These experimental data were used to prepare mathematical modeling based on the Buckingham theorem by subject to dependant variable (TL) and independent variables (V, gβΔt, Cp, ρ, U, Qs). The progression of the Mathematics model was compared with that of ANN. Operating parameters, i.e., loading temperature; thermal stratification, as well as thermal insulation have been used in the model of ANN. The statistical modeling and ANN results obtained are verified with test data. Studies show that high deviations of 2.7° C and 1.76° C were found, respectively. The operation of the hot water storage tank during the charging process is best performed by linear programming problem (LPP). The result of the Mathematics model shows two correct solutions for the hot water storage tank during the charging process. As a result, two optimum points are set during charging.