When we obtain analytical results for a mechanical system by numerical analysis, we may consider many kinds of physical influence, including electricity, mechanical vibration, heat, and flow. However, it is difficult to deal with each system simultaneously. In this study, with the aim of the convenient analysis of a thermo-fluid system, analysis using linear graph theory is derived, and the transient response analysis for a piping system is carried out. Furthermore, in order to examine the validity of this analysis method, the finite-element method is carried out and its results compared with the simulation results. Through these studies, it is concluded that the convenient method is useful in analyzing mechanical systems including the thermo-fluid system.
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