Page 75 - 48Fundamentals of Compressible Fluid Mechanics
P. 75

3.7. SOUND SPEED IN TWO PHASE MEDIUM                                 37

         In a way the definition of    was so chosen that effective specific pressure heat
                                                                 respectively. The
         correction factors for the specific heat is not linear.

                  Since the equations are the same as before hence the familiar equation

         for speed of sound can be applied as
                                                 "
                                                            "
         and effective specific volumetric heat are  "
                                                      and "
                                                                           (3.48)
                                   and    " 
                                 Insert example with small
                                         are smaller than similar variables in a pure

                                                                                  steel particles with air up to

         gas. Hence, this analysis results in lower speed of sound compared to pure gas.  20%

         It can be noticed that  "
         Generally, the velocity of mixtures with large gas component is smaller of of the
                                          2

         pure gas. For example, the velocity of sound in slightly wed steam can be about
         one third of the pure steam speed of sound.                              At this stage the other models
                                                                                  for two phase are left for next
                                                                                  version (0.6).
         Meta
               or a mixture of two phases, speed of sound can be expressed as

                                                                           (3.49)



                      is defined as

              where
                                                                           (3.50)





         Meta End
   70   71   72   73   74   75   76   77   78   79   80