Page 200 - 48Fundamentals of Compressible Fluid Mechanics
P. 200

162                                           CHAPTER 9. FANNO FLOW
                                                                         P2/P1 Fanno Flow


                                                                                  4fL
                                                                                 ¾¾
                                                                                  D
                                                       4.8
                                                       4.4
                                                         4
                                                       3.6
                                                                       5 %
                                                       3.2
                                                                       50 %
                                                       2.8             75 %
                                                       P2/P1  2.4

                                                         2
                                                       1.6
                                                       1.2
                                                       0.8
                                                       0.4
                                                         0
                                                          0      0.05    0.1     0.15     0.2     0.25
                                                                                  4fL
                                                                                 ¾¾
                                                                                  D
                                                      Fri Nov 12 04:07:34 2004

                                                Fig. 9.14: Fanno Flow Mach number as a function of        when the total


                                            9.7.3   Entrance Mach number,          , effects

                                            In this discussion, the effect of changing the throat area on the nozzle efficiency are
                                            neglected. In reality these effects have significance and needed to be accounted
                                            for in some instances. This dissection deals only when the flow reaches the su-
                                            personic branch reached otherwise the flow is subsonic with regular effects.. It is
                                                                                              is large enough to create

                                            assumed that in this discussion that the pressure ratio
                                                                 is small enough to allow it to happen.
                                                                                 is a function of the ratio of the nozzle’s
                                            a choked flow and W`XaZ [
                                            throat area to the nozzle exit area and its efficiency. This effect is the third parame-
                                                                                b
                                                   The entrance Mach number, N
                                            ter discussed here. Practically, the nozzle area ratio change by changing the throat
                                            area.
                                                                                                             ; first is
                                                                 of the supper sonic which deponent only the specific heat,
                                                   As was shown before, there are two different maximums for WYXaZ [
                                                                                                               . This
                                            the total maximum W`XaZ [
                                                                                                              b
                                            F , and second the maximum depends on the entrance Mach number, N
   195   196   197   198   199   200   201   202   203   204   205