Application of the Janzen-Rayleigh Method to Obstructed Flow

The Janzen-Rayleigh method is a familiar solution technique used to describe the flow of an inviscid, compressible fluid around a cylinder through an expansion in the Mach number. The purpose of this work is to use this familiar methodology to elucidate the concepts described by Baty and Ramsey. Previous work describes the process of using differential geometries to describe the flow around a spherical object and identify salient physics occurring in the problem. This work validates the aforementioned solutions using a well-known technique, and therefore, validates the physical conclusions previously presented. Further, this work extends the number of known solutions found when applying the Janzen-Rayleigh method to this type of problem. LA-UR-22-27339