Energy-Based Compressible Convective Model Proper for Aerothermoelastic Dynamic Investigations

In this study, an attempt is made to relate the dynamics of a compressible convective fluid to the energetic interactions between the existing physical subdomains of the field. Accordingly, the general dynamics of the system are presented in the form of a set of distinguishable and meaningful relations between the reversible and irreversible interactions of the energy components of the subdomains. To this aim, the energetic decomposition of the fluid field is first developed from conservation equations. By defining multidimensional energetic components, possible reversible and irreversible connections between the subdomains are then clarified, with which distinctive energy transformation between the subdomains and energy transportation within the fluid field become identifiable. Finally, the general energetic network of the system is achieved, which demonstrates the power transactions within the system in a conservative manner. The model thus generated is capable of presenting the complex behavior of the system attached to the system energetic memory. This capability can result in generating the behavior of the system from its physical constructive elements, thus providing a physical insight into the ongoing phenomena of the system. The presented results for the considered examples confirm this capability of the proposed model.