Control and condition monitoring oriented approach to modelling with applications in compressible fluid dynamic systems

A first principles based modeling approach for compressible fluid dynamic systems is developed. The method extends an existing approach for the gas case to the liquid case by way of three novel thermodynamic equations. The new thermodynamic information is coupled to the conservation equations of motion resulting in partial differential model equations. The approach then transforms the equations to nondimensional form affording good numeric properties and yielding a powerful design parameter that is used as a model order reduction tool. Spatial discretization converts the partial differential equations to ordinary differential equations. The model equations are validated against the analytic solution to the linearized wave equation and through numerical case studies. The usefulness of the model order reduction tool is verified numerically. The modeling approach is deemed control and condition monitoring oriented by virtue of the model order reduction parameter and the modularity of the developed models.