Continuous Sensitivity Equation Method Research Articles

Aerodynamic Sensitivity Theory for Rotary Stability Derivatives

A nonlinear boundary-value problem (BVP) is developed to describe the steady compressible flow about a body moving with nonzero angular rates. It is shown that the most general aerodynamically steady motions are characterized by spiral paths. A continuous sensitivity equation method is then applied to develop a linear BVP that characterizes the sensitivity of the flow to changes in angular velocity. The solutions to the sensitivity BVP are used to compute rotary stability derivatives and comparisons are made to some existing methods. The virtue of this approach is that all rotary derivatives can be estimated based on a single solution for the nonlinear flow equations along with three linear sensitivity equations