Page 63 - Fluid Mechanics and Thermodynamics of Turbomachinery
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44 Fluid Mechanics, Thermodynamics of Turbomachinery

                                                L                                 L



                                                  q                                    q
                                  R 1
                                                                    W 1    Flow
                            Flow
                                                                        1              q
                                     1
                                                                                             2
                                                          2
                                                N                                 N
                                                                                             2
                                                 2N
                                           A 2                                  A 2  1 +  N
                                       A R  =    = 1 +   tan q              A R  =    =   tan q
                                           A 1   W 1                            A 1   R 1
                                             (a)                                    (b)


                                                    Lo


                                        Dr 1
                                                                   q i  q o
                                   r t1





                                                       N

                                                      (c)
                          FIG. 2.13. Some subsonic diffuser geometries and their parameters: (a) two-dimensional;
                                                   (b) conical; (c) annular.

                          difficult than might be anticipated, and some aspects of the flow processes are still
                          not fully understood. There is now a vast literature about the flow in diffusers and
                          their performance. Only a few of the more prominent investigations are referenced
                          here. A noteworthy and recommended reference, however, which reviews many
                          diverse and recondite aspects of diffuser design and flow phenomena is that of
                          Kline and Johnson (1986).
                            The primary fluid mechanical problem of the diffusion process is caused by the
                          tendency of the boundary layers to separate from the diffuser walls if the rate
                          of diffusion is too rapid. The result of too rapid diffusion is always large losses
                          in stagnation pressure. On the other hand, if the rate of diffusion is too low, the
                          fluid is exposed to an excessive length of wall and fluid friction losses become
                          predominant. Clearly, there must be an optimum rate of diffusion between these
                          two extremes for which the losses are minimised. Test results from many sources
                          indicate that an included angle of about 2  D 7 degrees gives the optimum recovery
                          for both two-dimensional and conical diffusers.
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