Page 109 - 48Fundamentals of Compressible Fluid Mechanics
P. 109

4.7. THE EFFECTS OF REAL GASES                                       71



                                          e                            (4.134)
         and for




                The mass flow rate as function of the Mach number is



                                                                          (4.135)













                            the mass flow rate is



         For the case of
                                       e             
           
      (4.136)





         Example 4.7:
         A design is required that at specific point the Mach number should be 
  3  ,
                                                .
          i. Calculate area ratio between the point and the throat.

                          , and temperature
          ii. The stagnation pressure and the stagnation temperature.

         the pressure
         iii. Is the stagnation pressure and temperature at the entrance are different from
                                                 .
          SOLUTION
            the point? You can assume that
           1. The solution is simplified by using Potto-GDC for 
  3  the results are















                    3

                             
  
 ( (/3

           2. The stagnation pressure is obtained from      
'33  
 
  
  
   
'33


                                              3
              The stagnation temperature is


                                                 %

                                                 ( 
 %



           3. Of course, the stagnation pressure is constant for isentropic flow.


                                             
  
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