Insights from a Nonlinear and Corresponding Linear Model of a Pulsating Heat Pipe

The majority of the thermo-physical processes are developed into a mathematical model, which is then linearized to give some insight into the operational characteristics. A model without linearization, however, can better capture the nature of the observed occurrences. Research has long focused on how to choose between a nonlinear model, which has a larger computing cost, and a linear model, which might not give true and accurate dynamics. For a pulsating heat pipe (PHP), the limitations of the linear model over the nonlinear model are discussed. The difference between the two models largely highlight the nonlinear model's ability to accurately represent real dynamics. Based on the finding of an additional Zero-Hopf point in the nonlinear model from (Kumar and Singh in IJTS 2023), an analysis of the possible presence of a hidden attractor is done.