This study comprehensively analyses the Yamaguchi-Ichikawa (YI) model for water hammer phenomena in hydraulic systems, alongside recent theoretical studies and experiments. While promising initially, comparative investigations reveal limitations in the YI model’s alignment with experimental data, particularly regarding initial conditions and pulsation periodicity. These shortcomings, including the absence of a phase shift, may hinder its applicability in complex pressure systems with multiple wave reflections. The research focuses on analyzing analytical models that describe the phenomenon of water hammer. These models enable the proposal of future research directions, integrating theoretical models with experimental observations.