Page 127 - DJJ20063- Thermodynamics 1
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DJJ20063- Thermodynamics 1



                      The steady flow energy equation gives

                                                           C  2  −C 2           
                                                         +
                                                                                   
                                     Q  −W  = m   (h  − h  )   2  1     ( + gZ  − gZ  )
                                                           
                                                  2   1       2         2     1  
                                                                                   
                                                
                              Points to note :
                              i.     The average velocity of flow of fluid through a turbine is normally high, and

                                     the  fluid  passes  quickly  through  the  turbine.  It  may  be  assumed  that,

                                     because of this, heat energy does not have time to flow into or out of the
                                     fluid during its passage through the turbine, and hence Q = 0 .

                              ii.    Although velocities are high the difference between them is not large, and

                                     the term representing the change in kinetic energy may be neglected.
                              iii.   Potential energy is generally small enough to be neglected.

                              iv.    W is the amount of external work energy produced per second.

                              The steady flow energy equation becomes

                                             m
                                     -W =     (h −    h 1  )
                                                  2
                              or      W =  (h −  h 2 )                                                     (3.27)
                                           m
                                              1

                      Example 3.6


                        A fluid flows through a turbine at the rate of 45 kg/min. Across the turbine the specific

                        enthalpy drop of the fluid is 580 kJ/kg and the turbine loss 2100 kJ/min in the form of

                        heat energy. Determine the power produced by the turbine, assuming that changes

                        in kinetic and potential energy may be neglected.


                      Solution to Example 3.6
                      The steady flow energy equation gives



                                                   C  2  −C 2            
                                                  +
                              Q  −W  = m   (h 2  − h 1 )   2  1     ( + gZ 2  − gZ 1  )
                                                                            
                                                   
                                                      2                  
                                                                            
                                        






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