Page 171 - Understanding Flight
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CH06_Anderson  7/25/01  8:59 AM  Page 158




                 158  CHAPTER SIX



                                                          Supersonic       Shock Wave
                                                          air flow






                                       Mach 0.8

                                       Fig. 6.6. A transonic airfoil accelerates the air to supersonic
                                       speeds and then forms a shock wave.


                                                     supersonic


                                          1              subsonic

                                          Air speed (Mach no.)  free stream velocity











                                                                  shock wave



                                                            Distance (chord length)    1
                                       Fig. 6.7. The airspeed over a transonic and a subsonic airfoil.


                                         Figure 6.7 shows the airspeed, in units of Mach number, of the air
                                       over a subsonic and a transonic wing. The subsonic airfoil is traveling
                                       at a speed just below the critical Mach number such that the air never
                                       reaches supersonic. The transonic airfoil is just above the critical
                                       Mach number so the air becomes supersonic. The Mach number of
                                       the subsonic airfoil decreases after the peak while on the transonic
                                       airfoil it increases, until the shock wave.
                                         So how does the wing know where to put the normal shock wave?
                                       Let us first assume that the normal shock wave forms at the trailing
                                       edge in order to meet the trailing-edge condition. What we would find
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