Development of a mathematical model of productivity for conventional and stepped solar stills using RSM

Abstract

Solar stills play a vital role as devices for utilizing solar energy to generate drinkable water, especially in dry regions where obtaining clean water poses a considerable challenge. This research concentrates on the expansion of a comprehensive mathematical model for anticipating and enhancing the performance of both conventional and stepped solar stills, employing Response Surface Methodology (RSM). The study investigates the influence of key design parameters, for instance, water depth (mm), mass flow rate (kg/h), and glass thickness (mm), on the productivity of conventional and stepped solar stills. The experimental setup involves the systematic collection of data from both conventional and stepped solar stills under varying operational conditions. Through the application of RSM, a predictive mathematical model is established, capturing the complex interdependencies among the input variables and their impact on the distilled water output, called productivity. This model serves as a valuable tool for understanding and optimizing the performance of solar stills in diverse operating conditions.