Thermal energy storage is an alternative energy storage technology that can solve the problem of the intermittent nature of renewable energy sources. In the past, many attempts have been made to design a practical thermal energy storage design. There are two types of thermal energy storage: sensible and latent. In this work, latent heat energy storage (LHTES) technology was designed to get an optimal melt time for the phase change material in the system. Solar salt (60%NaNO3 + 40%KNO3) has been selected as the phase change material subject to a temperature of 525 K. As the solar salt begins to melt at 496 K, this simulated study aims to completely dissolve the solar salt in the shortest possible time. As the melting time is strongly dependent upon the geometry of the design, seven simple designs are considered by varying the area of the tubes in a shell-and-tube phase change material heat exchanger, bottom tubes/tube eccentricity, and angular position between the tubes. Out of the different configurations, the proposed single-tube eccentric design reduces the melting time by about 43.40% compared to the basic design. Also, the effect of increasing the heat transfer perimeter over the increase in eccentricities has been considered. Reducing the angular position between two tubes by 45° for a given geometry decreases the melting time by 47.80% for achieving 90% melting of the phase change material. This suggests that a combination of eccentricity and angular orientation is an essential factor in designing latent heat thermal energy storage systems.