Page 267 - Aerodynamics for Engineering Students
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250  Aerodynamics for Engineering Students
















                                                           -
                                                           -
                                                      Incidence
                                                      Incidence
                             m
                             c
                             0
                             c
                             .-  .-
                             0
                             c
                             Lc -  -
                             e
                             e
                             Lc
                             P
                     Fig. 5.34  Lift-versus-incidence curve for an aerofoil section of a certain profile, working two-dimensionally
                     and working  in a  flow  regime influenced  by  end  effects,  i.e.  working  at  some  point along the  span  of
                     a finite  lifting wing


                     a certain profile working two-dimensionally and working in a flow regime influenced
                     by end effects, i.e. working at some point along the span of a finite lifting wing.
                       Assuming that both curves are linear over the range considered, i.e. the working
                     range, and that under both flow regimes the zero-lift incidence is the same, then

                                            c, = uoo[aoo - ao] = u[a - a01              (5.56)
                     Taking the first equation with a,  = Q - E

                                                CL = u,[(a  -  .o)   - €1               (5.57)
                     But equally from Eqn (4.10)
                                                lift per unit span   I
                                           c, =                =-
                                                     f pV2c       fpVc
                                              =-  PW
                                                4pv2c
                                                217
                                           c, =-                                        (5.58)
                                                 VC
                     Equating Eqn (5.57)  and (5.58) and rearranging:
                                                217
                                               -=     VI(.   - a01 - 4
                                               cam
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