APPROXIMATE METHOD FOR PREDICTING FORM AND LOCATION OF DETACHED SHOCK WAVES AHEAD OF PLANE OR AXIALLY SYMMETRIC BODIES

摘要

An approximate method, based oh a simplified form of the con¬tinuity relation, is- developed to predict the location of detached shock waves ahead of two-dimensional and axially symmetric bodies. In order to reduce the problem to an equivalent one-dimensional form, it was assumed that: (l) The form of the shock between its foremost point and its sonic point is adequately represented by an hyperbola asymptotic to the free-stream Mach lines; and (2) the sonic line "between the shock and the body is straight and inclined at an- angle that depends only on the. free-stream Mach number. With these assumptions, the location of the shock relative to the body sonic point is independent of the form of the nose or leading edge ahead of the sonic point and becomes a single-valued function of the Mach number. A simple geometric method for estimating shock location is also presented, hut this method agrees less closely with experiment than the continuity method.