Simulating heat addition via mass addition in variable area compressible flows

The authors recently demonstrated the striking and potentially useful similarity between the influence of heat addition and mass addition (injected normal to the flow with the same total temperature and composition) on constant area compressible duct flows. This was primarily accomplished by means of closed-form, mathematical solutions for flows involving a single forcing function (e.g., heat or mass addition), commonly known as simple flows. The analyses were primarly based on the classical one-dimensional model of the steady, frictionless, constant throughflow area flow of a calorically perfect gas. The similarities were also found to exist when wall friction is present, including the estimated point of boundary-layer separation in supersonic flow. We extend the prior results to incorporate the influence of throughflow area variation