This study numerically examines the vertically and horizontally directed latent heat thermal energy storage system (LHTESS) that is simulated by the transient temperature model of sunrise and sunset to ascertain the effective phase transition material morphology and heat transfer performance. The transient model is predicted while taking into consideration natural convection, and the impact of Reynolds number flow on storage time in the laminar flow zone is explored. Modeling of the fluid flow and phase change heat transmission processes of the cylinder and helical heat pipe (HHP) thermal system is done using a three-dimensional simultaneous melting and solidification program. Using the projected liquid fraction, the simulation provides data on the temperature and solar energy that has been stored. 2300 was chosen as the Reynolds number flow in the laminar regime's impact on PCM storage time. To find the best model that can store energy within five (5) hours of solar insolation, concentrated solar power (CSP) plant temperature models were examined for the vertical and horizontal model configurations, respectively. With a reduction in the anticipated storage duration of 5 hours with the horizontally oriented design, the PCM melting rate is significantly increased. With the vertical model, a significant amount of energy is stored over 6h 53m. Using published experimental data from the open literature, the results that the numerical model anticipated are confirmed. The study improves knowledge of the concurrent real-time PCM charging cycle in the system.