| Popis: |
The predecessor of this paper (GT2021-60012) introduced the Symmetry (S’-) framework of compressor map representation. This framework exhibits a natural simplicity of expression in comparison with the common BETA framework, enables relatively simple coupling of an arbitrary number of maps in series, and posits a novel instability mechanism termed “snap equilibrium.” A one-dimensional numerical simulation is constructed to simulate snap equilibrium and its associated hysteresis, exactly as predicted in the S’-framework by inspecting the maps at their interface. Both two-map and three-map snap equilibria are simulated, the latter demonstrating that snap equilibrium may be triggered between two maps by the presence of a third. The geometrical structure of the S’-framework is then explored in depth. Any given constant-geometry map can be expressed completely as either of two related vector fields — inlet-exit and input-output — in the corrected speed-corrected flow abstract space. The geometry of these vector fields is examined, and the nature of speedlines themselves is reinterpreted. The possibility of breaking a given map into its constituent maps is explored. Finally, a set of features common to all constant-geometry maps is identified in corrected speed-corrected flow space, and their implications are discussed. |
