Page 146 - Fluid Mechanics and Thermodynamics of Turbomachinery
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Axial-flow Turbines: Two-dimensional Theory  127
                                                                            Y
                                                                       D
                                                       U
                                          C 2
                                                      W 2
                                                                        L        X
                                                L    X



                                                   a
                                            Y          D
                                                                                 a
                                          a
                                           W 1
                                                       U
                                                              a
                                           C 1
                                                       W 1
                                                   (a)



                                                         W 1
                                           C 1
                                                       U
                                          W 1
                                         -a          D
                                                                                  a
                                           Y
                                                 a



                                                L    X
                                                                        L
                                                                                 X

                                                     W 2
                                           C 2
                                                                       D
                                                     U                      Y
                                                      (b)

                          FIG. 4.25. Velocity and force vectors acting on a blade of a Wells turbine in motion:
                          (a) upward absolute flow onto blade moving at speed U ; (b) downward absolute flow
                          onto blade moving at speed U .


                          Two-dimensional flow analysis

                            The performance of the Wells turbine can be predicted by means of blade element
                          theory. In this analysis the turbine annulus is considered to be made up of a series of
                          concentric elementary rings, each ring being treated separately as a two-dimensional
                          cascade.
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