Formation And Decay of Shock Waves

Cover Formation And Decay of Shock Waves
Formation And Decay of Shock Waves
Kurt Otto Friedrichs
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Consider a backward-facing simple wave that is forward inclined. Suppose further that the incoming supersonic flow with the constant velocity u=q > c, v = is turned into J ^o o a flow with velocity u = q cos ©, v = q sin 0, (see Pig. 7). The strength of this wave may be characterized by the angle © and the changes of all quantities across the wave may be expanded in powers of 0. Similarly, consider a backward- facing forward-Inclined shock front, (see Pig. 8) across which the flow with velocity
... (q, 0) is turned into a flow with velocity u = q cos 9, v = q sin ©. Then again the changes of all quantities can be expanded in powers of ©. This ex- pansion now agrees with the expansion for the simple wave up to terms of second order, (see Appendix BII). For this reason -17- we may in second approximation consider the flow behind the shock as if it had resulted through a simple wave.
Pi • Backward-facing forward- inclined simple wave in- dicated through a set of straight Mach lines.


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