Shock Reflection from Edges and from Slotted Walls
CORNELL UNIV ITHACA NY GRADUATE SCHOOLOF AEROSPACE ENGINEERING
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The flow characteristics behind weak stationary shock waves reflected from various edges lying in the mainstream direction are determined according to linearized theory. Five different types of edges are considered, made up of various combinations of solid and free plane surfaces. An assumption regarding the singularity of one of the perturbation velocity is required in order to render the solutions unique. By superposition of such basic edge solutions, the flow behind a shock wave reflected from a wall with a slot i.e., a strip of free-surface between panels of solid wall and from multiply-slotted walls are obtained. These solutions apply only to regions upstream of multiple interactions of the slot edges however, these regions include the most interesting regions of flow in the case of reflection from slotted wind-tunnel wall, for example. The relation of the single-slot problem to the problem of a narrow rectangular supersonic wing is discussed.
- Theoretical Mathematics
- Fluid Mechanics